3-periodic traveling wave solutions for a dynamical coupled map lattice

DOI10.1007/s11071-006-9154-5zbMath1178.39024OpenAlexW2026026241MaRDI QIDQ842218

Sui-Sun Cheng, Guang Zhang, Dong-mei Jiang

Publication date: 22 September 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-006-9154-5

zbMATH Keywords

lattice dynamical systemperiodic traveling wave solutions

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Periodic solutions of difference equations (39A23)

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Cites Work

• Unnamed Item
• Chaotic trajectories in the standard map. The concept of anti- integrability
• Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency
• Breathers in nonlinear lattices: existence, linear stability and quantization
• Green's function and stability of a linear partial difference scheme
• Exact traveling wave solutions for discrete conservation laws
• Nonlinear localized periodic solutions in a coupled map lattice
• Coupled map lattices: one step forward and two steps back
• Extended symbolic dynamics in bistable CML: Existence and stability of fronts
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• ABUNDANCE OF TRAVELING WAVES IN COUPLED CIRCLE MAPS
• Travelling waves in lattice models of multi-dimensional and multi-component media. I. General hyperbolic properties