Connecting fast-slow systems and Conley index theory via transversality.

Kuehn, Christian

Displaying similar documents to “Connecting fast-slow systems and Conley index theory via transversality.”

Existence of periodic orbits for vector fields via Fuller index and the averaging method.

Benevieri, Pierluigi, Gavioli, Andrea, Villarini, Massimo (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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One-parameter families of brake orbits in dynamical systems

Lennard Bakker (1999)

Colloquium Mathematicae

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We give a clear and systematic exposition of one-parameter families of brake orbits in dynamical systems on product vector bundles (where the fiber has the same dimension as the base manifold). A generalized definition of a brake orbit is given, and the relationship between brake orbits and periodic orbits is discussed. The brake equation, which implicitly encodes information about the brake orbits of a dynamical system, is defined. Using the brake equation, a one-parameter family of...

Multidimensional singular $λ$ -lemma.

Rayskin, Victoria (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Periodic solutions of a one-dimensional Wilson-Cowan type model.

Krisner, Edward P. (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Stability and gradient dynamical systems.

Jack K. Hale (2004)

Revista Matemática Complutense

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The objective in these notes is to present an approach to dynamical systems in infinite dimensions. It does not seem reasonable to make a comparison of all of the orbits of the dynamics of two systems on non locally compact infinite dimensional spaces. Therefore, we choose to compare them on the set of globally defined bounded solutions. Fundamental problems are posed and several important results are stated when this set is compact. We then give results on the dynamical system which...