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On the use of the topological degree theory in broken orbits analysis |
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| Authors: | A. V. Pokrovskii O. A. Rasskazov |
| Affiliation: | Department of Applied Mathematics, National University of Ireland, University College, Cork, Ireland ; Institute for Nonlinear Science, Department of Physics, National University of Ireland, University College, Cork, Ireland |
| Abstract: | Dynamical systems  in  are studied. Let  be a bounded open set. We will be interested in those periodic orbits such that at least one of its points lies inside  and at least one of its points lies outside  ; the orbits with this property are called  -broken. Information about the structure of the set of  -broken orbits is suggested; results are formulated in terms of topological degree theory. |
| Keywords: | Index sequence topological degree periodic orbits |
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