Chronotopic Lyapunov Analysis: (II) towards a Unified Approach

Details Chronotopic Lyapunov Analysis: (II) towards a Unified Approach Chronotopic Lyapunov Analysis: (II) towards a Unified Approach

1996-02-09

arxiv.org/abs/chao-dyn/9602012v1

Nonlinear Sciences

Chaotic Dynamics

Latex Version - No figures - Ps-Figures are available via anonymous ftp at ftp://wpts0.physik.uni-wuppertal.de/pub/torcini/jsp

Scientific paper

10.1007/BF02508463

From the analyticity properties of the equation governing infinitesimal perturbations, it is shown that all stability properties of spatially extended 1D systems can be derived from a single function that we call entropy potential since it gives directly the Kolmogorov-Sinai entropy density. Such a function allows determining also Lyapunov spectra in reference frames where time-like and space-like axes point in general directions in the space-time plane. The existence of an entropy potential implies that the integrated density of positive exponents is independent of the reference frame.

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