Analytical solutions of weakly coupled map lattices using recurrence relations

DOI10.1016/j.physleta.2009.05.038zbMath1236.82080OpenAlexW1964719457MaRDI QIDQ2429235

Dolores Sotelo Herrera, Jesús San Martín

Publication date: 24 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.05.038

zbMATH Keywords

analytic solutionrecurrence relationscoupled map lattice

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Systems arising from the discretization of structural vibration problems (70J50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

Travelling waves associated with saddle-node bifurcation in weakly coupled CML ⋮ Turing instability for a two-dimensional logistic coupled map lattice ⋮ Heterogeneous, weakly coupled map lattices ⋮ SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML

Cites Work

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• Clustering and diffusion in a symplectic map lattice with non-local coupling
• Surface waves in aeolian bedforms
• Globally coupled circle maps
• Generalized Turing patterns and their selective realization in spatiotemporal systems
• Analysis of spurious synchronization with positive conditional Lyapunov exponents in computer simulations
• Classification of patterns in excitable systems with lateral inhibition
• Partition complexity in a network of chaotic elements
• Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
• Complex Systems: Chaos and Beyond
• The chemical basis of morphogenesis

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