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Digitale Medien

Chaos in a mapping describing elastoplastic oscillations (1995)

Pratap, Rudra ; Holmes, Philip

Springer

Nonlinear dynamics 8 (1995), S. 111-139

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Details

ISSN: 1573-269X

Schlagwort(e): Elastoplastic oscillator ; piecewise linear map ; chaos ; Smale horseshoe ; symbolic dynamics

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We study the local and global dynamical behavior of a two dimensional piecewise linear map which describes the asymptotic motions of a single degree of freedom, parametrically excited, elastoplastic oscillator after it has settled down to purely elastic oscillations. We give existence and stability conditions for periodic orbits and prove that chaos, in the form of a Smale horseshoe, exists at specific, but representative, parameter values. We interpret simulations of the elastoplastic oscillator itself in the light of these results.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00045009

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