Functional analytical methods are presented in this chapter to predict chaos for ODEs depending on parameters. Several types of ODEs are considered. We also study multivalued perturbations of ODEs, and coupled infinite-dimensional ODEs on the lattice ℂ as well. Moreover, the structure of bifurcation parameters for homoclinic orbits is investigated.
CITATION STYLE
Fečkan, M. (2011). Chaos in Ordinary Differential Equations. In Nonlinear Physical Science (pp. 87–165). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-642-18269-3_4
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