Abstract
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.
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Verhulst, F. Singular perturbation methods for slow–fast dynamics. Nonlinear Dyn 50, 747–753 (2007). https://doi.org/10.1007/s11071-007-9236-z
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DOI: https://doi.org/10.1007/s11071-007-9236-z
Keywords
- Singular perturbations
- Slow manifolds
- Periodic solutions
- Nonhyperbolic