Conley index of Poincaré maps in isolating segments |
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| Authors: | Marian Mrozek Roman Srzednicki |
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| Affiliation: | 1. Institute of Computer Science, Jagiellonian University, 17 Nawojki street, 30-072 Kraków, Poland;2. Chair of Computational Mathematics, WSB-NLU, 33-300 Nowy Sa?cz, Poland;3. Institute of Mathematics, Jagiellonian University, 4 Reymonta street, 30-059 Kraków, Poland |
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| Abstract: | We calculate the discrete-time Conley index of the Poincaré map of a time-periodic ordinary differential equation in an isolated invariant set generated by a periodic isolating segment. As an application, we present results on the existence of bounded solutions of some planar equations. |
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| Keywords: | primary, 37B30 secondary, 37C60 |
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