From lag synchronization to pattern formation in one-dimensional open flow models

Zengrong Liu and Jigui Luo

Chaos, Solitons & Fractals, 2006, vol. 30, issue 5, 1198-1205

Abstract: In this paper, the relation between synchronization and pattern formation in one-dimensional discrete and continuous open flow models is investigated in detail. Firstly a sufficient condition for globally asymptotical stability of lag/anticipating synchronization among lattices of these models is proved by analytic method. Then, by analyzing and simulating lag/anticipating synchronization in discrete case, three kinds of pattern of wave (it is called wave pattern) travelling in the lattices are discovered. Finally, a proper definition for these kinds of pattern is proposed.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:5:p:1198-1205

DOI: 10.1016/j.chaos.2005.08.200

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