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ANALYSIS OF WAVELETS IN CHAOTIC STATES FOR A ONE-DEGREE-OF-FREEDOM SYSTEM WITH VISCOELASTIC RESTRAINTS

โœ Scribed by W. GLABISZ

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
487 KB
Volume
258
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

A qualitative numerical technique is presented for identifying chaotic states of a nonlinear one-sided constrained one-degree of freedom (1-d.o.f.) deterministic system under a dynamic non-conservative load. Discrete wavelet analysis in its classic and packet versions was used to search for the boundaries of chaotic and non-chaotic solutions. The results obtained were verified by an analysis of the Lyapunov exponents of the investigated system. On the basis of numerical tests, one can state that wavelet analysis may be a fast and reliable tool suitable for searching for the boundaries of chaotic and non-chaotic solutions.

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