Stability of periodic orbits in the averaging theory
We study the kind of stability of the periodic orbits provided by higher order averaging theory. We apply these results for determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thoma's differential system.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2018 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:199350 |
| Online Access: | https://ddd.uab.cat/record/199350 https://dx.doi.org/urn:doi:10.1142/S0218127418300070 |
| Access Level: | Open access |
| Keyword: | Averaging theory Circulant systems Lorenz Stability of periodic orbits Thomas |
| Summary: | We study the kind of stability of the periodic orbits provided by higher order averaging theory. We apply these results for determining the k-hyperbolicity of some periodic orbits of the Lorenz and Thoma's differential system. |
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