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

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Kuznetsov, Yu.A. and Meijer, H.G.E. and Govaerts, W. and Sautois, B. (2008) Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs. Physica D: Nonlinear phenomena, 237 (23). pp. 3061-3068. ISSN 0167-2789

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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.
Item Type:Article
Copyright:© 2008 Elsevier Science
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/62492
Official URL:http://dx.doi.org/10.1016/j.physd.2008.06.006
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Metis ID: 252078