Diverse routes to oscillation death in a coupled-oscillator systemJ. J. Suárez-Vargas1, J. A. González1, A. Stefanovska2 and P. V. E. McClintock2
1 Physics Center, Venezuelan Institute for Scientific Research - Caracas 1020-A, Venezuela
2 Physics Department, Lancaster University - Lancaster LA1 4YB, UK, EU
received 11 September 2008; accepted in final form 20 January 2009; published February 2009
published online 13 February 2009
We study oscillation death (OD) in a well-known coupled-oscillator system that has been used to model cardiovascular phenomena. We derive exact analytic conditions that allow the prediction of OD through the two known bifurcation routes, in the same model, and for different numbers of coupled oscillators. Our exact analytic results enable us to generalize OD as a multiparameter-sensitive phenomenon. It can be induced, not only by changes in couplings, but also by changes in the oscillator frequencies or amplitudes. We observe synchronization transitions as a function of coupling and confirm the robustness of the phenomena in the presence of noise. Numerical and analogue simulations are in good agreement with the theory.
82.40.Bj - Oscillations, chaos, and bifurcations.
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.
© EPLA 2009