From the analyticity properties of the equation governing infinitesimal perturbations, it is conjectured that all types of Lyapunov exponents introduced in spatially extended 1D systems can be derived from a single function that we call the entropy potential. The general consequences of its very existence on the Kolmogorov-Sinai entropy of generic spatiotemporal patterns are discussed.
|Number of pages||15|
|Journal||Journal of Statistical Physics|
|Publication status||Published - Jul 1997|
- spatiotemporal chaos
- coupled map lattices
- entropy potential
- comoving Lyapunov exponents