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Hunting French Ducks in Population Dynamics
[chapter]
2014
Springer Proceedings in Mathematics & Statistics
Preserved Fulltext
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.
doi:10.1007/978-3-319-08266-0_23
fatcat:edbmvif4v5bbdoulmwtx6t22va