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Hunting French ducks in population dynamics

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Publication date

2014-01-01

Authors

Verhulst, F.ISNI 0000000109310695

Editors

Awrejcewicz, Jan

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Supervisors

DOI

https://doi.org/10.1007/978-3-319-08266-0_23

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Part of book

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Abstract

Equations with periodic coefficients for singularly perturbed growth can be analysed by using fast and slow timescales in the framework of Fenichel geometric singular perturbation theory and its extensions. The analysis is restricted to one-dimensional time-periodic ordinary differential equations and shows the presence of slow manifolds, canards and the dynamical exchanges between several slow manifolds. There exist permanent (or periodic) canards and periodic solutions containing canards.

Keywords

General Mathematics

Citation

Verhulst, F 2014, Hunting French ducks in population dynamics. in J Awrejcewicz (ed.), Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics and Statistics, vol. 93, Springer, pp. 319-335, 12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013, Łódź, United Kingdom, 2/12/13. https://doi.org/10.1007/978-3-319-08266-0_23, conference

URI

https://dspace.library.uu.nl/handle/1874/306720