Transition to Phase Synchronization Through Generalized Synchronization

Synchronization in drive-response chaotic systems is studied. For a small mismatch of the natural frequency of the drive and response oscillators, phase synchronization comes before generalized synchronization. For moderate and even large parameter misfits, generalized synchronization can be achieved before phase synchronization. The mechanism of these two different bifurcations is interpreted in terms of the local-minimal-fluctuation method. It is found that the qualitative changes of local-minimal-fluctuations of the response system well manifests the appearance of generalized synchronization.

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

[2]  Yue Yu-guo,et al.  Generation of Spontaneous Synchronized Rhythm and its Role in Information Processing , 2001 .

[3]  Zhigang Zheng,et al.  Transitions from partial to complete generalized synchronizations in bidirectionally coupled chaotic oscillators. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  H. Abarbanel,et al.  Generalized synchronization of chaos: The auxiliary system approach. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[6]  Tomaz Prosen.  General relation between quantum ergodicity and fidelity of quantum dynamics. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[8]  Y. Kuramoto,et al.  Dephasing and bursting in coupled neural oscillators. , 1995, Physical review letters.

[9]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Zheng,et al.  Generalized synchronization versus phase synchronization , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[11]  I. Schreiber,et al.  Strange attractors in coupled reaction-diffusion cells , 1982 .

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

[13]  Dmitry E. Postnov,et al.  SYNCHRONIZATION OF CHAOS , 1992 .