Desynchronization bifurcation of coupled nonlinear dynamical systems

Suman Acharyya, R. E. Amritkar

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We analyze the desynchronization bifurcation in the coupled Rössler oscillators. After the bifurcation the coupled oscillators move away from each other with a square root dependence on the parameter. We define system transverse Lyapunov exponents (STLE), and in the desynchronized state one is positive while the other is negative. We give a simple model of coupled integrable systems with quadratic nonlinearity that shows a similar phenomenon. We conclude that desynchronization is a pitchfork bifurcation of the transverse manifold. Cubic nonlinearity also shows the bifurcation, but in this case the STLEs are both negative.

Original languageEnglish
Article number023113
JournalChaos
Volume21
Issue number2
DOIs
StatePublished - 1 Apr 2011
Externally publishedYes

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