ISSN:
1573-269X
Keywords:
Elastoplastic oscillator
;
piecewise linear map
;
chaos
;
Smale horseshoe
;
symbolic dynamics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00045009
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