Discretizing dynamical systems with Hopf-Hopf bifurcations

Abstract:

We study the discretization of two-parameter, continuous-time dynamical systems. We prove that one-step methods turn Hopf-Hopf bifurcations into double Neimark-Sacker points. We discuss the effect of the discretization methods on the bifurcation diagram. The numerical approximation of the critical eigenvalues is analysed. The results are illustrated by a numerical example. © 2011 The author. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rightss reserved.

Año de publicación:

2012

Keywords:

• Ordinary Differential Equations
• bifurcation problems
• one-step methods

Fuente:

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scopus