Turing instability for a two-dimensional logistic coupled map lattice

DOI10.1016/j.physleta.2010.06.065zbMath1238.37029OpenAlexW1996568836MaRDI QIDQ420405

J. Herrera, H. S. Yoon

Publication date: 22 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.06.065

zbMATH Keywords

Turing instabilitydiffusion-drivenlogistic coupled map lattice

Mathematics Subject Classification ID

Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Traveling wave solutions (35C07)

Related Items (9)

Spatiotemporal chaos in mixed linear-nonlinear two-dimensional coupled logistic map lattice ⋮ Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map ⋮ Heterogeneous, weakly coupled map lattices ⋮ Stability regions for synchronized τ-periodic orbits of coupled maps with coupling delay τ ⋮ The design principles of discrete Turing patterning systems ⋮ Control of Divergence in an Extended Invertible Logistic Map ⋮ The diffusion-driven instability and complexity for a single-handed discrete Fisher equation ⋮ Regular and irregular vegetation pattern formation in semiarid regions: a study on discrete Klausmeier model ⋮ SADDLE-NODE BIFURCATION CASCADES AND ASSOCIATED TRAVELING WAVES IN WEAKLY COUPLING CML

Cites Work

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• Wavelike patterns in one-dimensional coupled map lattices
• Symmetry breaking bifurcations in a circular chain of \(N\) coupled logistic maps
• Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions
• Analytical solutions of weakly coupled map lattices using recurrence relations
• Stability of synchronized dynamics and pattern formation in coupled systems: review of some recent results
• The chemical basis of morphogenesis
• On quasiperiodic travelling waves in coupled map lattices

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