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STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES

DANIEL TURZÍK

Department of Mathematics, Institute of Chemical Technology, Prague, Czech Republic

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MIROSLAVA DUBCOVÁ

Department of Mathematics, Institute of Chemical Technology, Prague, Czech Republic

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https://doi.org/10.1142/S0218127408020240Cited by:3 (Source: Crossref)

Abstract

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.

Keywords:

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