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Chaos in Ordinary Differential Equations

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Book cover Bifurcation and Chaos in Discontinuous and Continuous Systems

Part of the book series: Nonlinear Physical Science ((NPS))

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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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  1. Department of Mathematical Analysis and Numerical Mathematics Faculty of Mathematics, Physics and Informatics, Comenius University Mlynská dolina, 842 48, Bratislava, Slovakia

    Michal Fečkan

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  1. Michal Fečkan
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© 2011 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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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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