title: Amplitude death in nonlinear oscillators with nonlinear coupling.
abstract: Amplitude death is the cessation of oscillations that occurs in coupled nonlinear systems when fixed points are stabilized as a consequence of the interaction. We show here that this phenomenon is very general: it occurs in nonlinearly coupled systems in the absence of parameter mismatch or time delay although time-delayed interactions can enhance the effect. Application is made to synaptically coupled model neurons, nonlinearly coupled Rössler oscillators, as well as to networks of nonlinear oscillators with nonlinear coupling. By suitably designing the nonlinear coupling, arbitrary steady states can be stabilized.
authors.affiliation: Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India.
authors.forename: Awadhesh
authors.initials: A
authors.lastname: Prasad
authors.forename: Mukeshwar
authors.initials: M
authors.lastname: Dhamala
authors.forename: Bhim Mani
authors.initials: BM
authors.lastname: Adhikari
authors.forename: Ramakrishna
authors.initials: R
authors.lastname: Ramaswamy
mesh_terms: D008564:Membrane Potentials; D008954:Models, Biological; D017711:Nonlinear Dynamics; D010507:Periodicity