Diverse routes to oscillation death in a coupled oscillator system

Details Diverse routes to oscillation death in a coupled oscillator system Diverse routes to oscillation death in a coupled oscillator system

2009-01-26

arxiv.org/abs/0901.4083v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

6 pages, 6 figures, to be published in Europhysics Letters (Feb 2009)

Scientific paper

10.1209/0295-5075/85/38008

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.

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