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Alexey A Koronovskii1, Olga I Moskalenko1, Anton O Selskii1

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This study investigates intermittent generalized synchronization in coupled oscillators. Researchers identified mechanisms for asynchronous behavior emerging from synchronous states and multistability.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Generalized synchronization is a key phenomenon in coupled dynamical systems.
  • Intermittency near synchronization boundaries presents complex behaviors.

Purpose of the Study:

  • To investigate the intermittent generalized synchronization regime.
  • To analyze the birth of asynchronous motion from synchronous states.
  • To understand multistability in detecting synchronous and asynchronous states.

Main Methods:

  • Utilized a modified system approach.
  • Studied unidirectionally coupled model oscillators.
  • Employed discrete time analysis.

Main Results:

  • Revealed mechanisms governing intermittent generalized synchronization.
  • Described the transition from complete synchronous state to asynchronous stages.
  • Characterized multistability in identifying synchronous and asynchronous states.

Conclusions:

  • The modified system approach effectively describes intermittent generalized synchronization.
  • Understanding these phenomena is crucial for analyzing complex coupled systems.