Existence and Spatio-temporal Patterns of Periodic Solutions to Non-autonomous Second Order Equivariant Delayed Systems
| dc.contributor.advisor | Malko, Anton V. | |
| dc.contributor.advisor | Krawcewicz, Wieslaw | |
| dc.contributor.committeeMember | Lou, Yifei | |
| dc.contributor.committeeMember | Ohsawa, Tomoki | |
| dc.contributor.committeeMember | Balanov, Zalman I. | |
| dc.creator | Ye, Xiaoli | |
| dc.date.accessioned | 2022-11-30T16:15:44Z | |
| dc.date.available | 2022-11-30T16:15:44Z | |
| dc.date.created | 2022-05 | |
| dc.date.issued | 2022-05-01T05:00:00.000Z | |
| dc.date.submitted | May 2022 | |
| dc.date.updated | 2022-11-30T16:15:45Z | |
| dc.description.abstract | In this dissertation, we study the existence and spatio-temporal symmetric patterns of peri- odic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays under the Hartman-Nagumo growth conditions. Our method is based on the usage of the Brouwer D1 × Z2 × Γ-equivariant degree theory, where D1 is related to the reversing symmetry, Z2 is related to the oddness of the right-hand-side and Γ reflects the symmetric character of the coupling in the corresponding network. Abstract results are supported by a concrete example with Γ = Dn – the dihedral group of order 2n. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | ||
| dc.identifier.uri | https://hdl.handle.net/10735.1/9568 | |
| dc.language.iso | en | |
| dc.subject | Mathematics | |
| dc.title | Existence and Spatio-temporal Patterns of Periodic Solutions to Non-autonomous Second Order Equivariant Delayed Systems | |
| dc.type | Thesis | |
| dc.type.material | text | |
| thesis.degree.college | School of Natural Sciences and Mathematics | |
| thesis.degree.department | Mathematics | |
| thesis.degree.grantor | The University of Texas at Dallas | |
| thesis.degree.name | PHD |
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