STABILITY OF STEADY-STATE SOLUTIONS IN MULTIDIMENSIONAL COUPLED MAP LATTICES

DOI10.1142/S0218127404011107zbMath1129.37346OpenAlexW1966186214MaRDI QIDQ4655685

Miroslava Dubcová, Daniel Turzík, Alois Klíč

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/s0218127404011107

zbMATH Keywords

spatially homogeneous solutionspatially periodic solutionGelfand transformationLattice 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) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Smooth dynamical systems: general theory (37C99)

Cites Work

• Unnamed Item
• On the problem of stability in lattice dynamical systems
• Application of Bernoulli shift to investigation of stability of spatially periodic solutions in lattice dynamical systems
• STABILITY OF SPATIALLY PERIODIC SOLUTIONS IN COUPLED MAP LATTICES
• Spacetime chaos in coupled map lattices

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