We study the stability of spatial structures in extended systems. Each spatial structure consists of some simple (undecomposable) structures that we call. patterns. We show numerically for some classes of coupled map lattices that the stability of a spatial structure is determined by the stability of its pattern with the minimal (spatial) scale, i.e. by the most tiny detail of this structure.
On stability of structures and patterns in extended systems / L. A., Bunimovich; Franceschini, Valter; Giberti, Claudio; Vernia, Cecilia. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - STAMPA. - 103:(1997), pp. 412-418.
On stability of structures and patterns in extended systems
FRANCESCHINI, Valter;GIBERTI, Claudio;VERNIA, Cecilia
1997
Abstract
We study the stability of spatial structures in extended systems. Each spatial structure consists of some simple (undecomposable) structures that we call. patterns. We show numerically for some classes of coupled map lattices that the stability of a spatial structure is determined by the stability of its pattern with the minimal (spatial) scale, i.e. by the most tiny detail of this structure.
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