STABILITY OF SPATIALLY PERIODIC SOLUTIONS IN COUPLED MAP LATTICES

DOI10.1142/S0218127403006571zbMath1067.82042OpenAlexW1979382756MaRDI QIDQ4653773

Miroslava Dubcová, P. Pokorny, Alois Klíč, Daniel Turzík

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218127403006571

zbMATH Keywords

spatial chaosLattice dynamical systemsspectrum of linear operator

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

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

Cites Work

• Density of defects and spatial entropy in extended systems
• On the problem of stability in lattice dynamical systems
• Topological spatial chaos and homoclinic points of \(\mathbb{Z} ^ d\)-actions in lattice dynamical systems
• A survey of the theory of spectral operators
• CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
• Overview of coupled map lattices

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