Topological stabilization for synchronized dynamics on networks

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• 作者：Giulia Cencetti ; Franco Bagnoli ; Giorgio Battistelli…
• 关键词：Statistical and Nonlinear Physics
• 刊名：The European Physical Journal B
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：90
• 期：1
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Condensed Matter Physics; Physics, general; Complex Systems; Fluid- and Aerodynamics; Solid State Physics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1434-6036
• 卷排序：90

文摘

A general scheme is proposed and tested to control the symmetry breaking instability of a homogeneous solution of a spatially extended multispecies model, defined on a network. The inherent discreteness of the space makes it possible to act on the topology of the inter-nodes contacts to achieve the desired degree of stabilization, without altering the dynamical parameters of the model. Both symmetric and asymmetric couplings are considered. In this latter setting the web of contacts is assumed to be balanced, for the homogeneous equilibrium to exist. The performance of the proposed method are assessed, assuming the Complex Ginzburg-Landau equation as a reference model. In this case, the implemented control allows one to stabilize the synchronous limit cycle, hence time-dependent, uniform solution. A system of coupled real Ginzburg-Landau equations is also investigated to obtain the topological stabilization of a homogeneous and constant fixed point.