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Local Lyapunov exponents in chaotic systems

✍ Scribed by Bruno Eckhardt; Demin Yao

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 840 KB
Volume: 65
Category: Article
ISSN: 0167-2789
DOI: 10.1016/0167-2789(93)90007-n

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📜 SIMILAR VOLUMES

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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

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## Abstract We propose a new test to detect chaotic dynamics, based on the stability of the largest Lyapunov exponent from different sample sizes. This test is applied to the data used in the single‐blind controlled competition tests for non‐linearity and chaos that were generated by Barnett __et a

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✍ K. Shin; J.K. Hammond 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 252 KB

Any system containing at least one positive Lyapunov exponent is defined to be chaotic and the system dynamics become unpredictable. For a mechanical system, the sum of Lyapunov exponents is negative and related to the damping, and so can be utilised to monitor any changes of the damping mechanism.

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An evaluation of the Lyapunov characteristic exponent of chaotic continuous systems

✍ Sandra Rugonyi; Klaus-Jürgen Bathe 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 630 KB

PREDICTING LOCALIZATION VIA LYAPUNOV EXP

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✍ Castanier, M. P. (author);Pierre, C. (author) 📂 Article 📅 1997 🏛 Academic Press 🌐 English ⚖ 175 KB

The localization factor, which was first developed in solid state physics [1][2][3][4][5][6], has often been used to quantify vibration localization in mono-coupled nearly periodic structures [7][8][9][10][11][12]. The localization factor is the average exponential decay rate of the vibration amplit