Coupled Henon maps are introduced to model in a more appropriate way chaos in extended systems. An effective technique allows the extraction of spatiotemporal periodic orbits, which are then used to approximate the invariant measure. A further implementation of the zeta-function formalism reveals the extensive character of entropies and dimensions, and allows the computation of the associated multifractal spectra. Finally, the analysis of short chains indicates the existence of distinct phases in the invariant measure, characterized by a different number of positive Lyapunov exponents.
|Number of pages||4|
|Journal||Physical Review Letters|
|Publication status||Published - 14 Dec 1992|
- UNSTABLE PERIODIC-ORBITS
- STRANGE SETS