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

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

2008-02-25

arxiv.org/abs/0802.3614v1

Mathematics

Dynamical Systems

17 pages, 7 figures, submitted to Physica D

Scientific paper

10.1016/j.physd.2008.06.006

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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