Chaotic synchronization and modulation of nonlinear time-delayed feedback optical systems

We present a special chaos synchronization system based on coupled time-delayed feedback optical systems. As far as we know, this paper reports for the first time simulations of synchronization in such optical circuits. The unsolved problem of the channel in communication applications of chaos synchronization for electronic systems make the optical systems very attractive. The quasi-infinite bandwidth, very low attenuation and practically noiseless characteristic of single mode fiber, used as information transmission medium, are the three main advantages of our system. We show by simulations that synchronization is effective, use a chaos shift keying modulation/demodulation scheme for binary information transmission and present some estimation of the bit rate in a such system. >

[1]  A. N. Sharkovskiĭ,et al.  Difference Equations and Their Applications , 1993 .

[2]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[3]  A. Tesi,et al.  ON SYSTEM DECOMPOSITION FOR SYNCHRONIZING CHAOS , 1994 .

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

[5]  Stewart E. Miller,et al.  Optical Fiber Telecommunications , 1979 .

[6]  H. M. Gibbs,et al.  BIFURCATIONS TO CHAOS IN OPTICAL BISTABILITY , 1982 .

[7]  Michael Peter Kennedy,et al.  Synchronization of chaotic signals , 1993 .

[8]  H. M. Gibbs,et al.  Bifurcation gap in a hybrid optically bistable system , 1982 .

[9]  Alan V. Oppenheim,et al.  Chaotic signals and systems for communications , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[10]  K. Ikeda,et al.  Successive Higher-Harmonic Bifurcations in Systems with Delayed Feedback , 1982 .

[11]  Maciej Ogorzalek,et al.  Taming chaos. I. Synchronization , 1993 .

[12]  Alberto Tesi,et al.  Dead-beat chaos synchronization in discrete-time systems , 1995 .

[13]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[14]  K. Ikeda Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system , 1979 .

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

[16]  A. Chraplyvy Limitations on lightwave communications imposed by optical-fiber nonlinearities , 1990 .

[17]  K. Ikeda,et al.  High-dimensional chaotic behavior in systems with time-delayed feedback , 1987 .

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

[19]  Ikeda,et al.  Cooperative dynamics and functions in a collective nonlinear optical element system. , 1989, Physical review. A, General physics.

[20]  Alan V. Oppenheim,et al.  Synchronization of Lorenz-based chaotic circuits with applications to communications , 1993 .

[21]  D. Ruelle,et al.  Ergodic theory of chaos and strange attractors , 1985 .

[22]  L. Chua,et al.  HYPERCHAOTIC ATTRACTORS OF UNIDIRECTIONALLY-COUPLED CHUA’S CIRCUITS , 1994 .

[23]  A. Lichtenberg,et al.  NONLINEAR DYNAMICS OF SELF-SYNCHRONIZING SYSTEMS , 1991 .