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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.27425 |
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| _version_ | 1866911550641537024 |
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| author | Elorreaga, Heli Robledo, Gonzalo Urrutia-Vergara, David |
| author_facet | Elorreaga, Heli Robledo, Gonzalo Urrutia-Vergara, David |
| contents | In this article, we complete the study of the equivalences between the properties of $h$--dichotomy, $h$--noncriticality and $h$--expansiveness of a linear nonautonomous ODE system which had been initiated in a previous work. Moreover, we extend a result of the generalized Floquet theory developed by T.A. Burton and J.S. Muldowney by providing a necessary and sufficient condition for $h$--dichotomy. It should be noted that all the results have been obtained by using a characterization of the $h$--dichotomy by a group theory approach recently developed by J.F. Peña and S. Rivera--Villagrán. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27425 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conditions for uniform $h$--dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory Elorreaga, Heli Robledo, Gonzalo Urrutia-Vergara, David Dynamical Systems 34D09, 34A30, 34C11 In this article, we complete the study of the equivalences between the properties of $h$--dichotomy, $h$--noncriticality and $h$--expansiveness of a linear nonautonomous ODE system which had been initiated in a previous work. Moreover, we extend a result of the generalized Floquet theory developed by T.A. Burton and J.S. Muldowney by providing a necessary and sufficient condition for $h$--dichotomy. It should be noted that all the results have been obtained by using a characterization of the $h$--dichotomy by a group theory approach recently developed by J.F. Peña and S. Rivera--Villagrán. |
| title | Conditions for uniform $h$--dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory |
| topic | Dynamical Systems 34D09, 34A30, 34C11 |
| url | https://arxiv.org/abs/2603.27425 |