Collision of Control Sets

Fritz Colonius () and Wolfgang Kliemann ()
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Fritz Colonius: Universität Augsburg, Institut für Mathematik
Wolfgang Kliemann: Iowa State University, Department of Mathematics

A chapter in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, pp 131-144 from Springer

Abstract: Abstract Control sets describe the limit behavior of control systems. When they collide, the system behavior undergoes a qualitative change. It is shown that at a collision of an invariant control set C with another control set D there exists a ∂C-control set in the intersection of C and the closure of D.

Keywords: Hopf Bifurcation; Invariant Control; Local Accessibility; Stable Periodic Solution; Transitive Component (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56589-2_6

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DOI: 10.1007/978-3-642-56589-2_6

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