Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems

Details Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems

1995-04-07

arxiv.org/abs/chao-dyn/9504005v1

Nonlinear Sciences

Chaotic Dynamics

Revtex version of the paper (without figures) - Figures as well as a copy of the paper in Post-Script can be recovered via ano

Scientific paper

10.1007/BF02183390

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.

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