Amplitude death in nonlinear oscillators with nonlinear coupling

Prasad, Awadhesh ; Dhamala, Mukeshwar ; Adhikari, Bhim Mani ; Ramaswamy, Ramakrishna (2010) Amplitude death in nonlinear oscillators with nonlinear coupling Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 81 (2). 027201_1-027201_4. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v81/i2/e027201

Related URL: http://dx.doi.org/10.1103/PhysRevE.81.027201

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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:45325
Deposited On:27 Jun 2011 05:17
Last Modified:18 May 2016 01:37

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