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Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents

✍ Scribed by Alejandro M. Mesón; Fernando Vericat

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
142 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

In a previous article [Chaos, Solitons and Fractals, 13 (2002) 1037], the authors have analyzed the multifractal Lyapunov spectrum. Here we continue that study by considering perturbations of the potential and the dynamics to obtain variational expressions for the entropies and Lyapunov spectra. The spirit and the framework of this note is to obtain, beyond hyperbolicity, variational results, some of which are new and some other which have already been derived but under stronger conditions.

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Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems
✍ Galias, Zbigniew 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 186 KB

In this paper we consider the problem of synchronization of coupled chaotic systems. Synchronization is studied by means of local transversal Lyapunov exponents. We show that they can be successfully used in investigations of synchronization properties. A criterion for synchronization based on this