Some phase transitions in coupled map lattices
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Publication:1207215
DOI10.1016/0167-2789(92)90205-2zbMath0761.58026OpenAlexW1998350917MaRDI QIDQ1207215
Tomasz Nowicki, Martin Künzle, Gerhard Keller
Publication date: 1 April 1993
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(92)90205-2
Related Items (14)
Globally coupled maps: Phase transitions and synchronization ⋮ Dynamics of coupled nonlinear maps and its application to ecological modeling ⋮ Spatio-temporal chaos: a solvable model ⋮ Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit ⋮ Some global properties of a pair of coupled maps: Quasi-symmetry, periodicity, and synchronicity ⋮ Mean-field coupled systems and self-consistent transfer operators: a review ⋮ Synchronization of coupled map lattices ⋮ Symbolic dynamics of two coupled Lorenz maps: from uncoupled regime to synchronisation ⋮ Extensive bounds on the topological entropy of repellers in piecewise expanding coupled map lattices ⋮ Breaking of ergodicity in expanding systems of globally coupled piecewise affine circle maps ⋮ Generalized phase transitions in finite coupled map lattices ⋮ Synchronizing multiple chaotic maps with a randomized scalar coupling. ⋮ Convergence and aperiodicity in fuzzy cellular automata: Revisiting rule 90 ⋮ Decelerating defects and non-ergodic critical behaviour in a unidirectionally coupled map lattice
Cites Work
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- On the concept of attractor
- Bernoulli maps of the interval
- Transfer operators for coupled map lattices
- On the Existence of Invariant Measures for Piecewise Monotonic Transformations
- Marginal singularities, almost invariant sets, and small perturbations of chaotic dynamical systems
- Spacetime chaos in coupled map lattices
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