Nature of the phase-flip transition in the synchronized approach to amplitude death

Karnatak, Rajat ; Punetha, Nirmal ; Prasad, Awadhesh ; Ramaswamy, Ram (2010) Nature of the phase-flip transition in the synchronized approach to amplitude death Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 82 (4). Article ID 046219. ISSN 1539-3755

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Official URL: http://journals.aps.org/pre/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevE.82.046219

Abstract

We study the dynamics of time-delay coupled limit-cycle oscillators in the amplitude death regime. Through a detailed analysis of the Jacobian at the fixed point, we show that the phase-flip transition, namely, the abrupt change from in-phase synchronized dynamics to antiphase synchronized dynamics, is associated with an interchange of the imaginary parts of complex pairs of eigenvalues at an “avoided crossing” of Lyapunov exponents as a parameter is varied. An order parameter for the transition is constructed through the eigenvectors of the Jacobian.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:98829
Deposited On:15 May 2015 12:22
Last Modified:15 May 2015 12:22

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