Abstract
Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact description of all the possible disturbances in tangent space. The analysis is carried out for chaotic and periodic spatiotemporal patterns. Singularities of the spectra and localization properties of the associated Lyapunov vectors are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1429-1452 |
| Number of pages | 24 |
| Journal | Journal of Statistical Physics |
| Volume | 82 |
| Issue number | 5-6 |
| Publication status | Published - Mar 1996 |
Keywords
- high-dimensional chaos
- spatiotemporal instabilities
- temporal and spatial Lyapunov spectra
- coupled map lattices, localization
- COUPLED MAP LATTICES
- NONLINEAR OSCILLATORS
- DYNAMICAL-SYSTEMS
- CHAOS
- LOCALIZATION
- EXPONENTS
- DIFFUSION
- SPECTRA
- LIMIT