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Diverse routes to oscillation death in a coupled-oscillator system.

Research output: Contribution to journalJournal article

Published

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Journal publication date13/02/2009
JournalEurophysics Letters
Journal number38
Volume85
Number of pages6
Original languageEnglish

Abstract

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.