title: Transition from amplitude to oscillation death under mean-field diffusive coupling.
abstract: We study the transition from the amplitude death (AD) to the oscillation death (OD) state in limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling scheme can induce an important transition from AD to OD even in identical limit cycle oscillators. We identify a parameter region where OD and a nontrivial AD (NTAD) state coexist. This NTAD state is unique in comparison with AD owing to the fact that it is created by a subcritical pitchfork bifurcation and parameter mismatch does not support this state, but destroys it. We extend our study to a network of mean-field coupled oscillators to show that the transition scenario is preserved and the oscillators form a two-cluster state.
authors.affiliation: Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
authors.forename: Tanmoy
authors.initials: T
authors.lastname: Banerjee
authors.affiliation: Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
authors.forename: Debarati
authors.initials: D
authors.lastname: Ghosh
mesh_terms: D000818:Animals; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D004058:Diffusion; D025461:Feedback, Physiological / Q000502:physiology*; D006801:Humans; D008954:Models, Biological; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*