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2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Analysis and Control of Chaotic Systems, Volume# 2 | Part# 1
Location: Queen Mary University of London, United Kingdom
National Organizing Committee Chair: Huijberts, Henri;
Just, W.
International Program Committee Chair: Huijberts, Henri;
Nijmeijer, Hendrik
Conference Editor: Huijberts, Henri
ISBN: 978-3-902661-65-4
Start Date: 2009-06-22
End Date: 2009-06-24
Paper Title ![]() |
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| A chaos-based CDMA scheme with a chaos-based encryption algorithm | Liang, Xiyin; Zhang, Jiangfeng; Xia, Xiaohua | 2009-06-22 |
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Authors: Liang, Xiyin; Zhang, Jiangfeng; Xia, Xiaohua
Abstract: An encryption algorithm based on a discretized chaotic map controlled by a Δ-modulated feedback is applied to a direct sequence code-division-multiple-access (DS-CDMA) scheme, which improves security at the cost of lowering the performance of bit error rate (BER). However, numerical simulations show that the DS-CDMA scheme still has a satisfactory performance by means of the spreading sequences generated by a continuous chaotic system. These spreading sequences are chosen from the local maximums of the output of the continuous chaotic system. This scheme is also robust against the channel noise.
Keywords: CDMA,spreading sequences,Lorenz system,bit error rate (BER),signal to noise ratio (SNR),Gram-Schmidt orthonormalization
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00023
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 110-115
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| A complete bifurcation analysis of planar conewise affine systems | Biemond, J. J. Benjamin; Van De Wouw, Nathan; Nijmeijer, Henk | 2009-06-22 |
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Authors: Biemond, J. J. Benjamin; Van De Wouw, Nathan; Nijmeijer, Henk
Abstract: In this paper we present a procedure to find all limit sets near bifurcating equilibria in continuous, piecewise affine systems defined on a conic partition of the plane. To guarantee completeness of the obtained limit sets, new conditions for the existence or absence of closed orbits are combined with the study of return maps. With these results a complete bifurcation analysis of a class of planar conewise affine systems is presented.
Keywords: nonlinear systems,bifurcations,limit cycles,stability analysis,hybrid systems,piecewise linear systems
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00054
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 285-290
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| A generalized devil staircase-based generator for the JPY-USD exchange rate? | Scarlat, E. I.; Preda, Liliana; Mihailescu, Mona | 2009-06-22 |
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Authors: Scarlat, E. I.; Preda, Liliana; Mihailescu, Mona
Abstract: By exploiting the linear similarity between two series, namely the exchange rate Japanese Yen - United States Dollar (JPY-USD), and the generalized devil staircase (GDS) recursive plot, the possibility of synthesizing the real series by using the GDS generator is investigated. The properties of the real and simulated series are compared from both fractal and chaotic perspective using a new multifractal deviation factor, and a crossing analysis based on correlation dimension and non linear prediction error, respectively. Given the encouraging results supported by good fitting values, there are arguments to consider the method an alternative for time series modeling on deterministic assumptions.
Keywords: time series synthesis,generalized devil staircase,chaos,multifractal deviation factor
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00060
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 321-326
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| A new delayed feedback control scheme For discrete time chaotic systems | Morgül, Ömer | 2009-06-22 |
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Authors: Morgül, Ömer
Abstract: In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. We propose a novel generalization of the classical delayed feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized with the proposed method. Although for higher order periods the proposed scheme may possess some limitations, some improvement over the classical delayed feedback scheme still can be achieved with the proposed scheme. The stability proofs also give the possible feedback gains which achieve stabilization. We will also present some simulation results.
Keywords: chaotic systems,chaos control,delayed feedback system,Pyragas controller,stability
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00062
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 333-338
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| A new optimization algorithm for multi-user transmission using chaotic carriers | Mangeot, Jean-Philippe; Launay, Frédéric; Coirault, Patrick | 2009-06-22 |
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Authors: Mangeot, Jean-Philippe; Launay, Frédéric; Coirault, Patrick
Abstract: In this paper, a new approach based on an optimization is proposed to realize the chaotic CDMA multi-user detection. In a multi-user transmission using chaotic carriers, it is shown that synchronizing N chaotic carriers emitting simultaneously on the same frequency band is feasible according to unicity and orthogonality of chaotic sequences. The carriers are generated from Chua's circuits and are modulated in amplitude by the information signal. Demodulation is ensured by the minimization of a cost function. Numerical simulations show that this synchronization method is robust in presence of noise and allows the integration of a high number of users.
Keywords: chaos,CDMA,multi-user transmission,synchronization,optimization
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00044
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 229-234
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| A novel chaotic encryption technique for secure communication | Kharel, Rupak; Busawon, K.; Ghassemlooy, Z. | 2009-06-22 |
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Authors: Kharel, Rupak; Busawon, K.; Ghassemlooy, Z.
Abstract: In this work, a novel chaotic encryption technique is proposed to realize a secure communication system. In the proposed method, the message signal to be transmitted is first encrypted using a chaotic keystream and then modulated with a chaotic signal. At the receiver end, the received chaotic signal is used for synchronization and to recover the encrypted signal. After applying the same keystream used in transmitter side, the message signal could be decrypted back. The main contribution of this work is generation of the keystream which is not part of the transmitter chaotic oscillator but is produced using an oscillator of a different structure.
Keywords: chaotic cryptosystem,synchronization,secure communication
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00022
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 104-109
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| A synchronization condition for coupled nonlinear systems with time-delay—A circle criterion approach | Oguchi, Toshiki; Nijmeijer, Henk; Tanaka, Noriko | 2009-06-22 |
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Authors: Oguchi, Toshiki; Nijmeijer, Henk; Tanaka, Noriko
Abstract: This paper considers the synchronization problem for coupled chaotic systems with time-delay. We assume that the error dynamics can be rewritten by a feedback connection of a linear delay system with multiple inputs and outputs and nonlinear elements which are decentralized and satisfy a sector condition. Then, we derive a synchronization condition for coupled systems with delay by applying a multivariable circle criterion. Unlike the conventional synchronization criteria, the derived criterion is based on a frequency-domain condition and can avoid the use of the Lyapunov-Krasovskii approach. As a result, the condition does not contain the conservativeness caused by the Lyapunov-Krasovskii approach. The effectiveness of the proposed criterion is shown by examples of coupled Chua systems with delay coupling.
Keywords: chaos synchronization,time-delay,absolute stability,the circle criterion
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00049
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 256-261
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| Active chaos control of a cam-follower impacting system using FPIC technique | Taborda, John Alexander; Santini, Stefania; Di Bernardo, Mario,... | 2009-06-22 |
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Authors: Taborda, John Alexander; Santini, Stefania; Di Bernardo, Mario; Angulo, Fabiola
Abstract: In this paper, we apply a novel active control scheme to suppress chaotic behavior in a cam-follower impacting system using Fixed-Point Inducting Control or FPIC Technique. Namely, the input speed of the cam-follower system is actively controlled in order to reach a single-impact periodic motion. A cam-follower system characterized by a radial cam and a flat-faced follower is used as a representative example. High-order periodic-impact and chaotic motions are controlled varying the input speed of the cam-follower system. Stroboscopic and impact maps are used to select the suitable control parameters under which stable single-impact periodic responses are reached.
Keywords: piecewise smooth systems,impacting systems,cam-follower systems,active control,chaos control,FPIC technique,bifurcation theory
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00061
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 327-332
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| Adaptive robust control of hyperchaotic Rossler system in the presence of matching disturbance | Arefi, Mohammad Mahdi; Jahed-Motlagh, Mohammad Reza | 2009-06-22 |
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Authors: Arefi, Mohammad Mahdi; Jahed-Motlagh, Mohammad Reza
Abstract: This paper deals with the problem of adaptive robust control based on Lyapunov theory for uncertain feedback linearizable systems with matching uncertainties. The proposed method shows that the closed-loop system is globally asymptotically stable; and states of the system track the desired trajectories in a globally asymptotically manner. Since this approach is not concerned with any information about the bounds of uncertainties, the preliminary knowledge of the bounds of uncertainties is not nessary. Next, in order to prevent the switching phenomenon in the control signal, the method is modified such that the norm of tracking error will be Uniformly Ultimately Bounded. Numerical simulations on the hyperchaotic Rossler system with matching disturbance show fast responses in set-point tracking, while norm of the errors is certainly bounded and the control signal is reasonably smooth.
Keywords: adaptive robust control,uncertain nonlinear systems,Lyapunov stability,hyperchaotic Rossler system
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00064
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 343-348
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| An optimal gains matrix for time-delay feedback control | Biggs, James; McInnes, Colin R. | 2009-06-22 |
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Authors: Biggs, James; McInnes, Colin R.
Abstract: In this paper we propose an optimal time-delayed feedback control (TDFC) for tracking unstable periodic orbits (UPOs). It is shown that TDFC will drive a trajectory onto a periodic orbit while minimising an integral of a cost function of the error in periodicity and the control effort. This optimal TDFC relies on the linearisation about the delayed trajectory not the UPO itself and therefore can be implemented without a priori knowledge of a reference orbit. This optimal TDFC is applied to the problem of tracking an unstable periodic orbit in the nonlinear equations describing the circular restricted three-body problem. The results of this investigation demonstrate that TDFC could efficiently drive a spacecraft onto a periodic orbit in the vicinity of a (UPO) halo orbit.
Keywords:
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00063
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 339-342
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| Analogue private communication based on hybrid chaotic systems with delays | Zheng, G.; Aggoune, W.; Barbot, J.-P. | 2009-06-22 |
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Authors: Zheng, G.; Aggoune, W.; Barbot, J.-P.
Abstract: Since most of private communication schemes based on chaotic synchronization are not robust again plain-texts attacks, the introduction of delays in the schemes can be regarded as an efficient method to improve the security degree with respect to such attack. As an extension of our recent work, this paper proposes a new analogue private communication scheme based on hybrid chaotic systems with delays. The proposed scheme is based on the notation of weakly left invertibility of switched systems, and an illustrative example is given for the purpose of highlighting the feasibility of the proposed method.
Keywords: chaotic systems,hybrid systems,weakly left invertibility,numerical differentiation
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00047
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 246-251
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| Anti-control of chaos in rigid body motion using an internal torque source | Zargarzadeh, H.; Motlagh, M. R. Jahed | 2009-06-22 |
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Authors: Zargarzadeh, H.; Motlagh, M. R. Jahed
Abstract: Chaotification of rigid body motion is studied by (Chen and Lee, 2004) where three external torque sources are applied as the control inputs. Alternatively, the present paper is involved with this task using a variable speed control moment gyro (VSCMG), as an internal torque generator. Although a VSCMG provides only two control inputs, we show that the total fifth-order momentum conserving system could form a new chaotic model by a simple linear control law. In addition, the robustness of the generated chaos against feedback gains variation is numerically verified.
Keywords: anti-control of chaos,hyperchaotic behaviour,chaotic mechanical system,rigid body motion,momentum conserving system,variable speed control moment gyro
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00065
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 349-354
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| Anti-synchronization chaos shift keying method: Error derivative detection improvement | Celikovsky, Sergej; Lynnyk, Volodymyr | 2009-06-22 |
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Authors: Celikovsky, Sergej; Lynnyk, Volodymyr
Abstract: This paper studies a new modification of the anti-synchronization chaos shift keying scheme for the secure encryption and decryption of data. A new concept of the detection of the correct/incorect binary value in the receiver is used. The method proposed here requires very reasonable amount of data to encrypt and time to decrypt a single bit. Basically, to encrypt a single bit, only one iteration is needed. Moreover, the security of this method is systematically investigated showing its good resistance to typical decryption attacks. Theoretical results are supported by the numerical simulations.
Keywords: nonlinear system,chaos shift keying,generalized Lorenz system,synchronization,anti-synchronization,secure communication
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00026
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 128-133
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| Bifurcation control of aeroelastic limit cycle oscillations | Demenkov, Max; Goman, Mikhail | 2009-06-22 |
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Authors: Demenkov, Max; Goman, Mikhail
Abstract: An active flutter suppression using linear saturated control is investigated for a 2dof wing section with nonlinear torsional stiffness and limited deflection amplitude of its single control effector. The suppression of limit cycle oscillations in the nonlinear closed-loop system is achieved through maximization of the stability region of the linearized system. A bifurcation sequence leading to limit cycle disappearance is revealed. With increase of the maximum control input amplitude, the closed-loop limit cycle is transformed into a stable torus, which disappears at higher control amplitude through a nonlocal bifurcation similar to a boundary crisis in chaotic systems. Finally, a saddle-node bifurcation of the limit cycle gives necessary conditions for global stability in the closed-loop system.
Keywords: active vibration control,bifurcation control,control input constraints,region of attraction,boundary crisis
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00066
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 355-360
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| Border collision of non-hyperbolic fixed points | Colombo, A.; Dercole, F. | 2009-06-22 |
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Authors: Colombo, A.; Dercole, F.
Abstract: We report novel results on three codimension-two bifurcations in nonsmooth systems, namely the border-fold, border-fiip, and border-Neimark-Sacker. These results, obtained in the discrete-time framework, are easily applicable in the analysis of Poincaré maps of periodic solutions in continuous-time. Three models, taken from different fields of science and engineering, are then briefly described and used as test benches for the theoretical results.
Keywords: bifurcation,border collision,codimension-two,non-hyperbolic,nonsmooth
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00021
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 98-103
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| Bounding the domain of some three species food systems | Starkov, Konstantin E.; Coria, Luis N. | 2009-06-22 |
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Authors: Starkov, Konstantin E.; Coria, Luis N.
Abstract: This paper presents results concerning the solution of the localization problem of any compact invariant set contained in the positive orthant for two 3-species food systems. The final localization domain in both of examples is a tetrahedron which may have linear excisions for some values of parameters. Some sufficient conditions of the nonexistence of compact invariant sets in the positive orthant are given as well. The results have been obtained by using the first order extremum conditions and the iteration theorem. Parameters of all localization sets are computed explicitly.
Keywords: chaos,nonlinear,localization,invariant set,food chain,ecosystem
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00038
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 193-198
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| Chaos synchronization with time-delayed couplings: Three conjectures | Kinzel, W.; Englert, A.; Kanter, I. | 2009-06-22 |
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Authors: Kinzel, W.; Englert, A.; Kanter, I.
Abstract: Networks of chaotic units with time delayed couplings and feedbacks are investigated analytically and numerically. Based on the results of simple models, three general conjectures are postulated, which need a rigorous proof (or counter example).
Keywords:
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00048
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 252-255
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| Chaos through sliding bifurcations in a boost converter under a SMC strategy | Ponce, Enrique; Pagano, Daniel J. | 2009-06-22 |
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Authors: Ponce, Enrique; Pagano, Daniel J.
Abstract: Chaos in a hybrid model of a DC-DC boost converter operating in Discontinuous Conduction Mode (DCM), when controlled by Sliding Mode Control (SMC), is detected. The chaotic regime coexists with the stable operating point. It is rigorously shown that there is an unstable limit cycle in the sliding dynamics due to a subcritical Hopf bifurcation. The existence of this limit cycle and its evolution with parameters turn out to be of great importance for the stability and robustness control of this type of power converter.
Keywords: piecewise smooth systems,power electronics,boost converter,sliding mode control,Hopf bifurcation
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00053
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 279-284
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| Chaotification of piecewise smooth systems | Benmerzouk, D.; Barbot, J.-P. | 2009-06-22 |
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Authors: Benmerzouk, D.; Barbot, J.-P.
Abstract: In this paper, a mathematical analysis of a possible way to chaos for piecewise smooth systems submitted to one of it's specific bifurcations, namely the sliding, the corner and the grazing ones, is proposed. This study is based on period doubling method and Implcit function theorem.
Keywords: dynamic bifurcations (74H60),chaotic behavior (74H65),bifurcation of limits cycles and periodic orbits (37G15)
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00030
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 149-154
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| Conditions for synchronization and chaos in networks of β-cells | Van De Weem, J. M. W.; Ramirez, J. G. Barajas; Femat, R.,... | 2009-06-22 |
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Authors: Van De Weem, J. M. W.; Ramirez, J. G. Barajas; Femat, R.; Nijmeijer, H.
Abstract: The insulin producing and releasing pancreatic β-cells play a key role in glucose homeostasis. The proper function of these cells is characterized by a spiking-bursting activity in their membrane potential. It is known that these cells are coupled with each other and that this coupling can induce synchronization. This fact maybe relevant in the mechanisms of blood glucose regulation. However, not much is known about conditions of synchronization, nor about the topology of real-world β-cell network. Also about the conditions for the emergence of chaotic bursting in networks of β-cells not much is known. We investigate these phenomena in terms of complex network theory as model of β-cells networks, in which synchronization and emergence of chaotic bursting occurs.
Keywords: coupled systems,pancreatic β-cells,complex networks,chaos,synchronization
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00035
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 176-181
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| Continuous-time limit of a shift map yielding an exactly solvable chaotic differential equation | Corron, Ned J. | 2009-06-22 |
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Authors: Corron, Ned J.
Abstract: A chaotic nonlinear differential equation possessing an exact analytic solution is derived from a continuous-time limit of an iterated shift map. The resulting equation consists of an unstable harmonic oscillator forced by a nonlinear piecewise-constant feedback. The continuous time solution exhibits a shift dynamic at integer return times, and the waveform is described completely in terms of the symbols of the contained shift map. Significantly, this exactly solvable nonlinear system provides the first example of a chaotic ordinary differential equation possessing an exact symbolic dynamics.
Keywords: chaos,differential equations,difference equations,nonlinear equations,symbolic dynamics
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00028
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 140-143
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| Controlling ideal turbulence: Stabilization and synchronization of time-delayed Chua's circuits | Suzuki, Masayasu; Sakamoto, Noboru; Naito, Kazutoshi | 2009-06-22 |
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Authors: Suzuki, Masayasu; Sakamoto, Noboru; Naito, Kazutoshi
Abstract: We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using the d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using the d'Alembert's solution, we design control laws to stabilize steady solutions and synchronize a pair of the distributed parameter systems. And then, we show that the stabilization and the synchronization can be accomplished only by boundary inputs.
Keywords: chaos,ideal turbulence,stabilization,synchronization,wave equations,boundary conditions
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00013
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 56-61
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| Correlation between spatial and temporal chaotic behaviour in two-phase microfluidics | Sapuppo, Francesca; Schembri, Florinda; Bucolo, Maide | 2009-06-22 |
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Authors: Sapuppo, Francesca; Schembri, Florinda; Bucolo, Maide
Abstract: In this work spatial and temporal nonlinear dynamics in microfluidics two-phase phenomena are investigated. Numerical models of two phase air/water flows in serpentine mixer were implemented exploiting a commercial CFD solution for investigation of spatial fluid dynamics inside air bubbles in the two-phase flow. Experimentation in microfluidic channels was also performed, time series were extracted from recorded images of two-phase (air and water) flow in a microfluidic serpentine mixer and nonlinear analysis methods were applied for time series characterization. Relationships between spatial parameters related to the direction of simulated fluid trajectories inside the air bubble and the largest Lyapunov exponents related to the bubbles' temporal dynamics in experimentation were explored to characterize spatio-temporal patterns in microfluidics.
Keywords: spatial-temporal chaos,two phase flow,computational fluid dynamics (CFD),level set method,image processing,nonlinear analysis
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00040
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 205-210
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| Coupled maps as tool for modeling human information processing: Issues of readout | Archer, Daan; Van Someren, Maarten; Van Leeuwen, Cees | 2009-06-22 |
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Authors: Archer, Daan; Van Someren, Maarten; Van Leeuwen, Cees
Abstract: In trying to establish neurally plausible models of human information processing, the connectionist movement failed because their models lacked interesting dynamics. We propose that coupled maps offer neurodynamically more plausible tools for modeling cognitive phenomena. Activity in coupled maps shows dynamic synchronization behavior that is phenomenally similar to large-scale brain activity. It is possible to tweak this behavior to enable reading-in of spatially patterned information, and to engineer mechanisms for encoding storage of these patterns. Previous work showed how these solutions lead to simple explanations of a number of phenomena observed in human visual perception, including some visual illusions and multi-stability; and in memory, such as iconic storage, slow decay, and spontaneous re-instantiation. The present work explores dynamic weight adjustment at multiple time scales simultaneously, in particular its possible utility for memory retrieval and read-out of patterned information.
Keywords: logistic maps,dynamical synchronization,neural networks,iconic storage,forgetting curves,spontaneous recall,priming,retrieval
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00003
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 1-4
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| Delay-dependent adaptive synchronization of master-slave systems with mixed time-delays and nonlinear perturbations | Karimi, Hamid Reza; Zapateiro, Mauricio; Luo, Ningsu | 2009-06-22 |
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Authors: Karimi, Hamid Reza; Zapateiro, Mauricio; Luo, Ningsu
Abstract: This paper investigates the delay-dependent adaptive synchronization problem of the master and slave structure of linear systems with both constant neutral and time-varying discrete time-delays and nonlinear perturbations based on the Barbalat lemma and matching conditions. An adaption law which includes the master-slave parameters is obtained by using the Lyapunov functional method and inequality techniques to synchronize the master-slave systems without the knowledge of upper bounds of perturbation terms. Particularly, it is shown that the synchronization speed can be controlled by adjusting the update gain of the synchronization signal. A numerical example has been given to show the effectiveness of the method.
Keywords:
Digital Object Identifier (DOI): 10.3182/20090622-3-UK-3004.00009
Conference: 2nd IFAC Conference on Analysis and Control of Chaotic Systems (2009)
Location: Queen Mary University of London, United Kingdom
Start Date: Mon Jun 22 2009 - End Date: Wed Jun 24 2009
Page Numbers: 33-38
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