Singular perturbation methods for slow-fast dynamics. (English) Zbl 1170.70371
Summary: Recently, geometric singular perturbation theory has been extended considerably while at the same time producing many new applications. We will review a number of aspects relevant to non-linear dynamics to apply this to periodic solutions within slow manifolds and to review a number of non-hyperbolic cases. The results are illustrated by examples.
MSC:
| 70K60 | General perturbation schemes for nonlinear problems in mechanics |
| 70K70 | Systems with slow and fast motions for nonlinear problems in mechanics |
References:
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