Chain recurrence and Selgrade`s theorem for affine flows

Fritz Colonius, Alexandre J. Santana

Publication date: 22 May 2023

Abstract: Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theorem is determined. The results are illustrated by an application to affine control systems with bounded control range.

Mathematics Subject Classification ID

Controllability (93B05) Control problems involving ordinary differential equations (34H05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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