NDLI: Synchronization, stickiness effects and intermittent oscillations in coupled nonlinear stochastic networks

Content Provider	Springer Nature Link
Author	Kouvaris, N. Provata, A.
Copyright Year	2009
Abstract	Long distance reactive and diffusive coupling is introduced in a spatially extended nonlinear stochastic network of interacting particles. The network serves as a substrate for Lotka-Volterra dynamics with 3rd order nonlinearities. If the network includes only local nearest neighbour interactions, the system organizes into a number of local asynchronous oscillators. It is shown that (a) Introduction of all-to-all coupling in the network leads the system into global, center-type, conservative oscillations as dictated by the mean-field dynamics. (b) Introduction of reactive coupling to the network leads the system to intermittent oscillations where the trajectories stick for short times in bounded regions of space, with subsequent jumps between different bounded regions. (c) Introduction of diffusive coupling to the system does not alter the dynamics for small values of the diffusive coupling pdiff, while after a critical value pdiff c the system synchronizes into a limit cycle with specific frequency, deviating non-trivially from the mean-field center-type behaviour. The frequency of the limit cycle oscillations depends on the reaction rates and on the diffusion coupling. The amplitude σ of the limit cycle depends on the control parameter pdiff.
Starting Page	535
Ending Page	541
Page Count	7
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	70
Issue Number	4
e-ISSN	14346036
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-07-21
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Superconductivity, Superfluidity, Quantum Fluids Solid State Physics and Spectroscopy Fluids Complexity Physics Condensed Matter
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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