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

DOI10.1142/S0218127408020240zbMath1143.37331OpenAlexW1979874619MaRDI QIDQ3520766

Miroslava Dubcová, Daniel Turzík

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127408020240

zbMATH Keywords

coupled map latticestraveling wave solutionCalkin algebralattice dynamical systemsGelfand transformationessential spectrum of linear operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Soliton equations (35Q51) Applications of operator theory to differential and integral equations (47N20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (4)

Multivalued integral manifolds in Banach spaces ⋮ Pinned, locked, pushed, and pulled traveling waves in structured environments ⋮ SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML ⋮ Locked fronts in a discrete time discrete space population model

Cites Work

• Unnamed Item
• Traveling waves in lattice dynamical systems
• Extended symbolic dynamics in bistable CML: Existence and stability of fronts
• STABILITY OF SPATIALLY PERIODIC SOLUTIONS IN COUPLED MAP LATTICES

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