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PREDICTING LOCALIZATION VIA LYAPUNOV EXPONENT STATISTICS

โœ Scribed by Castanier, M. P. (author);Pierre, C. (author)


Publisher
Academic Press
Year
1997
Tongue
English
Weight
175 KB
Volume
203
Category
Article
ISSN
0022-460X

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๐Ÿ“œ SIMILAR VOLUMES


PREDICTING LOCALIZATION VIA LYAPUNOV EXP
โœ Castanier, M. P. (author);Pierre, C. (author) ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Academic Press ๐ŸŒ English โš– 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

Testing chaotic dynamics via Lyapunov ex
โœ Fernando Fernรกndez-Rodrรญguez; Simรณn Sosvilla-Rivero; Juliรกn Andrada-Fรฉlix ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 170 KB

## 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 singleโ€blind controlled competition tests for nonโ€linearity and chaos that were generated by Barnett __et a

Lyapunov Exponents and Localization in R
โœ John A. Scales; Erik S. Van Vleck ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 696 KB

are composed of a disordered or random collection of homogeneous layers. As an example, consider the model A variety of problems involving disordered systems can be formulated mathematically in terms of products of random transfer matri-shown in Fig. 1. Here we have chosen a pseudo-random ces, inclu

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โœ Galias, Zbigniew ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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