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Amplitude envelope synchronization in coupled chaotic oscillators.

J M Gonzalez-Miranda1

  • 1Departamento de Fisica Fundamental, Universidad de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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Coupling two Van der Pol-Duffing oscillators reveals a novel synchronization type. Amplitude modulation occurs despite differing frequencies, indicating a unique form of chaotic system interaction.

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Coupling chaotic oscillators can lead to various synchronization phenomena.
  • The Van der Pol-Duffing oscillator is a model system exhibiting complex dynamics.

Purpose of the Study:

  • To investigate a peculiar synchronization phenomenon in coupled Van der Pol-Duffing oscillators.
  • To characterize this synchronization and differentiate it from other known forms.

Main Methods:

  • Simulating coupled Van der Pol-Duffing oscillators with varying coupling strengths.
  • Analyzing frequency spectra, Lyapunov exponents, and correlation functions of the signals.
  • Comparing the observed phenomenon with other chaotic oscillator models.

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Main Results:

  • A novel synchronization characterized by amplitude modulation, not frequency locking, was observed.
  • Lyapunov exponents transitioned from null to negative with increasing coupling.
  • The phenomenon was linked to mutual excitation of new frequencies in power spectra.

Conclusions:

  • A distinct form of chaotic synchronization, termed amplitude synchronization, exists.
  • This synchronization can be masked by other synchronization types in complex systems.