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Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

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Published on: June 8, 2018

Relaying phase synchrony in chaotic oscillator chains.

Manish Agrawal1, Awadhesh Prasad, Ram Ramaswamy

  • 1Department of Physics and Astrophysics, University of Delhi, Delhi, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
PubMed
Summary
This summary is machine-generated.

External drive effects in coupled systems were studied using phase synchrony. Heterogeneous couplings truncate synchronization regimes, unlike homogeneous couplings, for chaotic Rössler oscillators.

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Area of Science:

  • Nonlinear Dynamics
  • Complex Systems
  • Chaos Theory

Background:

  • Understanding information transmission in coupled systems is crucial.
  • Phase synchrony is a key indicator of coupled system behavior.
  • Coupling schemes significantly influence system dynamics.

Purpose of the Study:

  • To investigate how external drive effects transmit through mutually coupled response systems.
  • To compare synchronization behaviors under homogeneous and heterogeneous coupling schemes.
  • To analyze the role of phase synchrony in drive-response interactions.

Main Methods:

  • Examining phase synchrony between an external drive and response systems.
  • Implementing and comparing homogeneous coupling (via same variables) and heterogeneous coupling (via different variables).
  • Illustrating results using systems of coupled chaotic Rössler oscillators.

Main Results:

  • Synchronization regimes differ between homogeneous and heterogeneous couplings.
  • Heterogeneous couplings lead to truncated synchronization regimes as the number of oscillators increases.
  • Homogeneous couplings do not exhibit this truncation under similar conditions.

Conclusions:

  • The choice of coupling scheme critically impacts synchronization in complex systems.
  • Heterogeneous coupling introduces limitations on synchronization extent in multi-oscillator networks.
  • Phase synchrony analysis provides valuable insights into drive transmission mechanisms in coupled chaotic systems.