Extended symbolic dynamics in bistable CML: Existence and stability of fronts

DOI10.1016/S0167-2789(97)82005-2zbMath0933.37005arXivpatt-sol/9609004WikidataQ127351616 ScholiaQ127351616MaRDI QIDQ1963310

R. Coutinho, Bastien Fernandez

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9609004

zbMATH Keywords

linear stabilitysymbolic dynamicsfrontstravelling frontscoupled map latticesstable fixed pointsdiffusive coupled map latticefronts' dynamicsglobal orbits

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Combinatorial dynamics (types of periodic orbits) (37E15) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (11)

Periodic solutions in one-dimensional coupled map lattices ⋮ 3-periodic traveling wave solutions for a dynamical coupled map lattice ⋮ A chaotic lattice field theory in one dimension* ⋮ Fronts between periodic patterns for bistable recursions on lattices ⋮ STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES ⋮ TOOLS FOR NETWORK DYNAMICS ⋮ Symbolic dynamics of two coupled Lorenz maps: from uncoupled regime to synchronisation ⋮ Discrete time piecewise affine models of genetic regulatory networks ⋮ Estimation of chaotic coupled map lattices using symbolic vector dynamics ⋮ Existence of solutions for a nonlinear algebraic system ⋮ Using advection to control the velocity of patterns in rings of maps

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