Large time dynamics of a nonlinear spring-mass-damper model

In this paper we consider a nonlinear strongly damped wave equation as a model for a controlled spring-mass-damper system and give some results concerning its large time behaviour. It can be seen that the infinite dimensional system admits a two-dimensional attracting manifold where the equation is...

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Published in:Nonlinear analysis 2008-11, Vol.69 (9), p.3110-3127
Main Author: Pellicer, Marta
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Language:English
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description In this paper we consider a nonlinear strongly damped wave equation as a model for a controlled spring-mass-damper system and give some results concerning its large time behaviour. It can be seen that the infinite dimensional system admits a two-dimensional attracting manifold where the equation is well represented by a classical nonlinear oscillations ODE, which can be exhibited explicitly. In contrast to other papers, this one applies Invariant Manifold Theory to a problem whose linear part is not self-adjoint.
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title Large time dynamics of a nonlinear spring-mass-damper model
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