Key result
Oscillation death in a cardiovascular coupled-oscillator model can be induced by changes in coupling strength, oscillator frequencies, or amplitudes via Hopf and saddle-node bifurcations.
This theoretical study provides exact analytic conditions for predicting oscillation death in coupled-oscillator systems, generalizing it as a multiparameter-sensitive phenomenon.
Exact conditions predict oscillation death in cardiovascular oscillator models; extends multiparameter bifurcation analysis but leaves clinical relevance open.
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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Suárez-Vargas et al. (2009) studied Cardiovascular phenomena (theoretical model). Coupled-oscillator system parameters (coupling, frequency, amplitude) was evaluated on Oscillation death (OD). Oscillation death in a cardiovascular coupled-oscillator model can be induced by changes in coupling strength, oscillator frequencies, or amplitudes via Hopf and saddle-node bifurcations.
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