Mixed lag synchronization in chaotic oscillators and experimental observations

Bidesh K. Bera, Sourav K. Bhowmick, Dibakar Ghosh

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We report mixed lag synchronization in coupled counter-rotating oscillators. The trajectories of counter-rotating oscillators has opposite directions of rotation in uncoupled state. Under diffusive coupling via a scalar variable, a mixed lag synchronization emerges when a parameter mismatch is induced in two counter-rotating oscillators. In the state of mixed lag synchronization, one pair of state variables achieve synchronization shifted in time while another pair of state variables are in antisynchronization, however, they are too shifted by the same time. Transition point of mixed-phase synchronization is estimated analytically using approximation theory. Numerical example of the paradigmatic Rössler oscillator is presented and supported by electronic experiment.

Original languageEnglish
Pages (from-to)269-273
Number of pages5
JournalInternational Journal of Dynamics and Control
Volume5
Issue number2
DOIs
StatePublished - 1 Jun 2017
Externally publishedYes

Keywords

  • Counter-rotating
  • Electronic circuit
  • Mixed lag synchronization
  • Phase synchronization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Modeling and Simulation
  • Mechanical Engineering
  • Control and Optimization
  • Electrical and Electronic Engineering

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