CHAOS IN SPATIALLY EXTENDED SYSTEMS VIA THE PEAK-CROSSING BIFURCATION

DOI10.1142/S021812740501426XzbMath1097.37050MaRDI QIDQ5474369

Leonid A. Bunimovich, Arno Berger

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

coupled map latticeslattice dynamical systemsexpanding map

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

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• Breathers in nonlinear lattices: existence, linear stability and quantization
• Coupled map lattices: one step forward and two steps back
• Chaos, Cantor Sets, and Hyperbolicity for the Logistic Maps
• Almost Sure Escape from the Unit Interval under the Logistic Map
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Onset of chaos in coupled map lattices via the peak-crossing bifurcation
• Topological properties of linearly coupled expanding map lattices
• Spacetime chaos in coupled map lattices

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