Parameter mismatches and oscillation death in coupled oscillators.
We use a set of qualitatively different models of coupled oscillators (genetic, membrane, Ca-metabolism, and chemical oscillators) to study dynamical regimes in the presence of small detuning. In particular, we focus on a distinct oscillation quenching mechanism, the oscillation death phenomenon. Using bifurcation analysis in general, we demonstrate that under strong coupling via slow variable detuning can eliminate standard oscillatory solutions from a large region of the parameter space, establishing the dominance of oscillation death. We argue furthermore that the oscillation death dominance effect provides a reliable dynamical control mechanism in the general case of N coupled oscillators.
Koseska
A
A
Interdisciplinary Center for Dynamics of Complex Systems, University of Potsdam, D-14469 Potsdam, Germany.
Volkov
E
E
Kurths
J
J
D001683:Biological Clocks / Q000502:physiology*; D020013:Calcium Signaling; D053263:Gene Regulatory Networks; D008563:Membrane Lipids / Q000378:metabolism; D008954:Models, Biological; D008957:Models, Genetic; D017711:Nonlinear Dynamics; D010507:Periodicity
D008563:Membrane Lipids