Senthilkumar, D. V. ; Kurths, J. ; Lakshmanan, M. (2009) Inverse synchronizations in coupled time-delay systems with inhibitory coupling Chaos, 19 (2). 023107_1-023107_9. ISSN 1054-1500
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Official URL: http://link.aip.org/link/?CHAOEH/19/023107/1
Related URL: http://dx.doi.org/10.1063/1.3125721
Abstract
Transitions between inverse anticipatory, inverse complete, and inverse lag synchronizations are shown to occur as a function of the coupling delay in unidirectionally coupled time-delay systems with inhibitory coupling. We have also shown that the same general asymptotic stability condition obtained using the Krasovskii-Lyapunov functional theory can be valid for the cases where (i) both the coefficients of the Δ(t) (error variable) and Δτ = Δ(t-τ) (error variable with delay) terms in the error equation corresponding to the synchronization manifold are time independent and (ii) the coefficient of the Δ term is time independent, while that of the Δτ term is time dependent. The existence of different kinds of synchronization is corroborated using similarity function, probability of synchronization, and also from changes in the spectrum of Lyapunov exponents of the coupled time-delay systems.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Institute of Physics. |
ID Code: | 19621 |
Deposited On: | 22 Nov 2010 12:17 |
Last Modified: | 17 May 2016 04:08 |
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