Experimental Observation of Lag Synchronization in Coupled Chaotic Systems

Chaotic lag synchronization is a subtle dynamical phenomenon in which the states of two mutually coupled, nonidentical chaotic oscillators follow each other with a fixed time delay. We investigate to what extent lag synchronization can be observed in laboratory experiments. Our measurements indicate that due to the influence of noise, lag synchronization appears to occur intermittently in time. Numerical confirmation and a heuristic explanation to the observed intermittent behavior are given.

[1]  Bock,et al.  Search for the decay KL0--> pi 0 pi 0 gamma. , 1994, Physical review. D, Particles and fields.

[2]  Hirokazu Fujisaka,et al.  Intermittency Caused by Chaotic Modulation. I —Analysis with a Multiplicative Noise Model— , 1986 .

[3]  Kevin M. Short,et al.  Steps Toward Unmasking Secure Communications , 1994 .

[4]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[5]  W. Ditto,et al.  Introduction: Control and synchronization of chaos. , 1997, Chaos.

[6]  J. Kurths,et al.  From Phase to Lag Synchronization in Coupled Chaotic Oscillators , 1997 .

[7]  Y. Lai,et al.  Observability of lag synchronization of coupled chaotic oscillators. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  Bruno Eckhardt,et al.  Periodic-Orbit Theory , 1993, chao-dyn/9303015.

[9]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[10]  Ying-Cheng Lai,et al.  Periodic-orbit theory of the blowout bifurcation , 1997 .

[11]  Torben Larsen,et al.  Noise Theory of Linear and Nonlinear Circuits , 1995 .

[12]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[13]  Parlitz,et al.  Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. , 1996, Physical review letters.

[14]  M. Rabinovich,et al.  Stochastic synchronization of oscillation in dissipative systems , 1986 .

[15]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

[16]  J. Kurths,et al.  Phase Synchronization of Chaotic Oscillators by External Driving , 1997 .

[17]  O. Rössler An equation for continuous chaos , 1976 .

[18]  Parlitz,et al.  Experimental observation of phase synchronization. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .

[20]  A. Signer,et al.  CompleteO(αs3)results fore+e−→(γ,Z)→four jets , 1997 .

[21]  N. N. Verichev,et al.  Stochastic synchronization of oscillations in dissipative systems , 1986 .

[22]  Leon O. Chua,et al.  Chaos Synchronization in Chua's Circuit , 1993, J. Circuits Syst. Comput..

[23]  Jürgen Kurths,et al.  Phase synchronization of chaotic systems , 2001 .

[24]  Krešimir Josić,et al.  INVARIANT MANIFOLDS AND SYNCHRONIZATION OF COUPLED DYNAMICAL SYSTEMS , 1998 .

[25]  Ying-Cheng Lai,et al.  PHASE CHARACTERIZATION OF CHAOS , 1997 .

[26]  Carroll,et al.  Desynchronization by periodic orbits. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  Carroll,et al.  Synchronous chaos in coupled oscillator systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  M. A. Miller Nonuniqueness of inverse problems in macroelectrodynamics. Spherical and toroidal sources of electromagnetic fields (review) , 1986 .

[29]  Alan V. Oppenheim,et al.  ROBUSTNESS AND SIGNAL RECOVERY IN A SYNCHRONIZED CHAOTIC SYSTEM , 1993 .

[30]  T. Carroll A simple circuit for demonstrating regular and synchronized chaos , 1995 .

[31]  Kevin M. Short,et al.  UNMASKING A MODULATED CHAOTIC COMMUNICATIONS SCHEME , 1996 .

[32]  Louis M. Pecora,et al.  Fundamentals of synchronization in chaotic systems, concepts, and applications. , 1997, Chaos.

[33]  S. O'Leary,et al.  Transmission of digital signals over MMDS , 1995 .

[34]  Erhard Kisker,et al.  Spin-flip low-energy electron-exchange scattering in NiO(100) , 1994 .