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We study oscillation death (OD) in a well-known coupled-oscillator systemthat has been used to model cardiovascular phenomena. We derive exact analyticconditions that allow the prediction of OD through the two known bifurcationroutes, in the same model, and for different numbers of coupled oscillators.Our exact analytic results enable us to generalize OD as amultiparameter-sensitive phenomenon. It can be induced, not only by changes incouplings, but also by changes in the oscillator frequencies or amplitudes. Weobserve synchronization transitions as a function of coupling and confirm therobustness of the phenomena in the presence of noise. Numerical and analoguesimulations are in good agreement with the theory.

Diverse routes to oscillation death in a coupled oscillator system