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arxiv: chao-dyn/9504005 · v1 · submitted 1995-04-07 · chao-dyn · nlin.CD

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

Stefano Lepri (Dipartimento di Fisica , Universita' di Bologna , Istituto Nazionale di Fisica Nucleare , I-40127 Bologna , Italy) , Antonio Politi ( Istituto Nazionale di Ottica , I-50125 Firenze , Alessandro Torcini (Theoretische Physik
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Bergische Universit\"at-Gesamthochshule Wuppertal D-42097 Wuppertal Germany)
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classification chao-dyn nlin.CD
keywords lyapunovanalysisspectrasystemsallowsassociatedcarriedchaotic
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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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