Desynchronization bifurcation of coupled nonlinear dynamical systems

Suman Acharyya, R. E. Amritkar

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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
Issue number2
StatePublished - 1 Apr 2011
Externally publishedYes


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