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- W1481736651 abstract "The canard explosion is the change of amplitude and period of a limit cycle born in a Hopf bifurcation in a very narrow parameter interval. The phenomenon is well understood in singular perturbation problems where a small parameter controls the slow/fast dynamics. However, canard explosions are also observed in systems where no such parameter can obviously be identified. Here we show how the iterative method of Roussel and Fraser, devised to construct regular slow manifolds, can be used to determine a canard point in a general planar system of nonlinear ODEs. We demonstrate the method on the van der Pol equation, showing that the asymptotics of the method is correct, and on a templator model for a self-replicating system." @default.
- W1481736651 created "2016-06-24" @default.
- W1481736651 creator A5090223662 @default.
- W1481736651 date "2013-01-01" @default.
- W1481736651 modified "2023-09-27" @default.
- W1481736651 title "An iterative method for the canard explosion in general planar systems" @default.
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- W1481736651 doi "https://doi.org/10.3934/proc.2013.2013.77" @default.
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