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Engineering generalized synchronization in chaotic oscillators.

P K Roy1, C Hens, I Grosu

  • 1Department of Physics, Presidency University, Kolkata 700073, India.

Chaos (Woodbury, N.Y.)
|April 5, 2011
PubMed
Summary
This summary is machine-generated.

We introduce a new method for achieving generalized synchronization (GS) in chaotic oscillators. This technique uses a flexible open-plus-closed-loop coupling strategy for precise control over synchronization states.

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Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Control Systems Engineering

Background:

  • Generalized synchronization (GS) is a complex phenomenon in coupled chaotic systems.
  • Achieving precise control over GS states in non-identical oscillators remains a challenge.

Purpose of the Study:

  • To develop and demonstrate a novel method for engineering generalized synchronization in chaotic oscillators.
  • To provide precise control over the synchronization state using a flexible coupling strategy.

Main Methods:

  • An open-plus-closed-loop coupling strategy was employed.
  • A transformation matrix was defined to map a chaotic driver to a response oscillator.
  • Matrix elements were arbitrarily chosen as constants, time-varying functions, or state variables from driver/other oscillators.

Main Results:

  • The proposed method successfully engineered generalized synchronization in mismatched Rössler oscillators.
  • GS was achieved between non-identical oscillators, including Rössler and Chen systems.
  • The transformation matrix elements allowed for precise control of the GS state.

Conclusions:

  • The open-plus-closed-loop coupling strategy offers a powerful tool for controlling generalized synchronization.
  • This method provides a versatile approach for synchronizing diverse chaotic systems.
  • The findings have implications for understanding and manipulating complex dynamical systems.