Amplitude death in oscillator networks with variable-delay coupling
نویسندگان
چکیده
منابع مشابه
Amplitude death in oscillator networks with variable-delay coupling.
We study the conditions of amplitude death in a network of delay-coupled limit cycle oscillators by including time-varying delay in the coupling and self-feedback. By generalizing the master stability function formalism to include variable-delay connections with high-frequency delay modulations (i.e., the distributed-delay limit), we analyze the regimes of amplitude death in a ring network of S...
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Amplitude death is a dynamical phenomenon in which a network of oscillators settles to a stable state as a result of coupling. Here, we study amplitude death in a generalized model of delay-coupled delay oscillators. We derive analytical results for degree homogeneous networks which show that amplitude death is governed by certain eigenvalues of the network's adjacency matrix. In particular, th...
متن کاملAmplitude death of identical oscillators in networks with direct coupling.
It is known that amplitude death can occur in networks of coupled identical oscillators if they interact via diffusive time-delayed coupling links. Here we consider networks of oscillators that interact via direct time-delayed coupling links. It is shown analytically that amplitude death is impossible for directly coupled Stuart-Landau oscillators, in contradistinction to the case of diffusive ...
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Title of dissertation: THE EFFECTS OF COUPLING DELAY AND AMPLITUDE / PHASE INTERACTION ON LARGE COUPLED OSCILLATOR NETWORKS Wai Shing Lee, Doctor of Philosophy, 2013 Dissertation directed by: Professor Edward Ott Department of Electrical and Computer Engineering Professor Thomas M. Antonsen Jr. Department of Electrical and Computer Engineering The interaction of many coupled dynamical units is ...
متن کاملAmplitude death in nonlinear oscillators with mixed time-delayed coupling.
Amplitude death (AD) is an emergent phenomenon whereby two or more autonomously oscillating systems completely lose their oscillations due to coupling. In this work, we study AD in nonlinear oscillators with mixed time-delayed coupling, which is a combination of instantaneous and time-delayed couplings. We find that the mixed time-delayed coupling favors the onset of AD for a larger set of para...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2014
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.89.032915