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arXiv · 0802.3614

Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

Yu. A. Kuznetsov·H. G. E. Meijer·W. Govaerts·B. Sautois
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Abstract

The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system.

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Yu. A. Kuznetsov, H. G. E. Meijer, W. Govaerts, B. Sautois. 2008-02-25. Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. https://doi.org/10.1016/j.physd.2008.06.006

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