TY - JOUR

T1 - Diverse routes to oscillation death in a coupled-oscillator system.

AU - Suarez-Vargas, J. J.

AU - Gonzalez, J. A.

AU - Stefanovska, Aneta

AU - McClintock, P. V. E.

PY - 2009/2/13

Y1 - 2009/2/13

N2 - 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.

AB - 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.

U2 - 10.1209/0295-5075/85/38008

DO - 10.1209/0295-5075/85/38008

M3 - Journal article

VL - 85

JO - EPL

JF - EPL

SN - 0295-5075

IS - 38

M1 - 38008

ER -