Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises
type: Item
instance of: scholarly article
title: Synchronization of systems of Marcus canonical equations driven by \(\alpha \)-stable noises
zbMATH Open document ID: 1203.37124
author: Jicheng Liu
author: Peter E. Kloeden
author: Xian-Ming Liu
author: Jinqiao Duan
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-10-14T00:00:00Z
review text: The paper investigates a synchronization phenomenon for coupled dynamical systems driven by \(\alpha-\)stable Lévy motions. Some basic facts about Marcus canonical differential equations and random dynamical systems are presented in the first chapters. In the last chapter, the problem of synchronization for coupled dynamical systems driven by \(\alpha-\)stable noises is formulated and then proven in the main theorem of the paper, under some dissipativity conditions for the drift terms. This result implies the fact that coupled dynamical systems share a dynamical feature in a certain asymptotic sense.
reviewed by: Iulian Stoleriu
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 5799982
zbMATH Keywords: synchronization
zbMATH Keywords: \(\alpha-\)stable Lévy motion
zbMATH Keywords: Marcus integral
zbMATH Keywords: Skorokhod metric
zbMATH Keywords: random attractor
zbMATH Keywords: noise
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.12.004
OpenAlex ID: W2085150943
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DOI: 10.1016/J.NONRWA.2009.12.004
description: scientific article; zbMATH DE number 5799982