On the Use of the Topological Degree Theory in Broken Orbits Analysis
نویسندگان
چکیده
Dynamical systems f in Rd are studied. Let Ω ⊂ Rd be a bounded open set. We will be interested in those periodic orbits such that at least one of its points lies inside Ω and at least one of its points lies outside Ω; the orbits with this property are called Ω-broken. Information about the structure of the set of Ω-broken orbits is suggested; results are formulated in terms of topological degree theory.
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