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

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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.
    Original languageUndefined
    Article number10.1016/j.physd.2008.06.006
    Pages (from-to)3061-3068
    Number of pages8
    JournalPhysica D
    Volume237
    Issue number1/23
    DOIs
    Publication statusPublished - 2008

    Keywords

    • MSC-37L10
    • IR-62492
    • MSC- 37M20
    • EWI-13857
    • METIS-252078

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