Desynchronization bifurcation of coupled nonlinear dynamical systems

Details Desynchronization bifurcation of coupled nonlinear dynamical systems Desynchronization bifurcation of coupled nonlinear dynamical systems

2011-01-17

arxiv.org/abs/1101.3130v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, 6 figures

Scientific paper

We analyze the desynchronization bifurcation in the coupled R\"ossler 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 and in the desynchronized state one is positive while the other is negative implying that one oscillator is trying to fly away while the other is holding it. We give a simple model of coupled integrable systems that shows a similar phenomena and can be treated as the normal form for the desynchronization bifurcation. We conclude that the desynchronization is a pitchfork bifurcation of the transverse manifold.

Affiliated with

Also associated with

No associations

Rating

Desynchronization bifurcation of coupled nonlinear dynamical systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Desynchronization bifurcation of coupled nonlinear dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Desynchronization bifurcation of coupled nonlinear dynamical systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285247