General framework for phase synchronization through localized sets

doi:10.1103/PHYSREVE.75.026216

Title: General framework for phase synchronization through localized sets

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Abstract

We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.

Authors:: Pereira, T.; Baptista, M. S.; Kurths, J

Publication Date:: Thu Feb 15 00:00:00 EST 2007

OSTI Identifier:: 21072382

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.75.026216; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BIOPHYSICS; CHAOS THEORY; COUPLING; INFORMATION; NERVE CELLS; NEURAL NETWORKS; NONLINEAR PROBLEMS; OSCILLATORS; SYNCHRONIZATION

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                    Pereira, T., Baptista, M. S., and Kurths, J. General framework for phase synchronization through localized sets.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVE.75.026216.

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                    Pereira, T., Baptista, M. S., & Kurths, J. General framework for phase synchronization through localized sets.  United States.  doi:10.1103/PHYSREVE.75.026216.

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                    Pereira, T., Baptista, M. S., and Kurths, J. Thu .  
        "General framework for phase synchronization through localized sets".  United States.  
        doi:10.1103/PHYSREVE.75.026216.

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@article{osti_21072382,

  title        = {General framework for phase synchronization through localized sets},

  author       = {Pereira, T. and Baptista, M. S. and Kurths, J},

  abstractNote = {We present an approach which enables one to identify phase synchronization in coupled chaotic oscillators without having to explicitly measure the phase. We show that if one defines a typical event in one oscillator and then observes another one whenever this event occurs, these observations give rise to a localized set. Our result provides a general and easy way to identify PS, which can also be used to oscillators that possess multiple time scales. We illustrate our approach in networks of chemically coupled neurons. We show that clusters of phase synchronous neurons may emerge before the onset of phase synchronization in the whole network, producing a suitable environment for information exchanging. Furthermore, we show the relation between the localized sets and the amount of information that coupled chaotic oscillator can exchange.},

  doi          = {10.1103/PHYSREVE.75.026216},

  journal      = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},

  number       = 2,

  volume       = 75,

  place        = {United States},

  year         = {Thu Feb 15 00:00:00 EST 2007},

  month        = {Thu Feb 15 00:00:00 EST 2007}

}

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DOI: 10.1103/PHYSREVE.75.026216

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