Critical properties of phase transitions in lattices of coupled logistic maps
arXiv:nlin/0605004 · doi:10.1143/PTPS.161.244
Abstract
We numerically demonstrate that collective bifurcations in two-dimensional lattices of locally coupled logistic maps share most of the defining features of equilibrium second-order phase transitions. Our simulations suggest that these transitions between distinct collective dynamical regimes belong to the universality class of Miller and Huse model with synchronous update.
Cited by in corpus (6)
- Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
- Collective Lyapunov modes
- Stretched exponential dynamics of coupled logistic maps on a small-world network
- Can the Ising critical behavior survive in non-equilibrium synchronous cellular automata?
- Role of unstable periodic orbits in phase transitions of coupled map lattices
- Critical fluctuations of noisy period-doubling maps