Solvable model for spatiotemporal chaos
- 1 January 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 57 (1) , 388-396
- https://doi.org/10.1103/physreve.57.388
Abstract
We show that the dynamical behavior of a coupled map lattice where the individual maps are Bernoulli shift maps can be solved analytically for integer couplings. We calculate the invariant density of the system and show that it displays a nontrivial spatial behavior. We also introduce and calculate a generalized spatiotemporal correlation function.Keywords
All Related Versions
This publication has 18 references indexed in Scilit:
- Spatio-temporal chaos: A solvable modelPhysica D: Nonlinear Phenomena, 1997
- Universal Scaling Law for the Largest Lyapunov Exponent in Coupled Map LatticesPhysical Review Letters, 1996
- Some phase transitions in coupled map latticesPhysica D: Nonlinear Phenomena, 1992
- Invariant measure in coupled mapsPhysica D: Nonlinear Phenomena, 1992
- Size dependence, coherence, and scaling in turbulent coupled-map latticesPhysical Review Letters, 1989
- Self-consistent Perron-Frobenius operator for spatiotemporal chaosPhysics Letters A, 1989
- Spacetime chaos in coupled map latticesNonlinearity, 1988
- Ergodic theory of chaos and strange attractorsReviews of Modern Physics, 1985
- Spatial and temporal structure in systems of coupled nonlinear oscillatorsPhysical Review A, 1984
- Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar modelPhysical Review B, 1977