Abstract
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.
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Fečkan, M. (2011). Chaos in Ordinary Differential Equations. In: Bifurcation and Chaos in Discontinuous and Continuous Systems. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18269-3_4
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DOI: https://doi.org/10.1007/978-3-642-18269-3_4
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