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Title: | Periodic Center Manifolds for DDEs in the Light of Suns and Stars | Authors: | LENTJES, Bram Spek, Len BOSSCHAERT, Maikel Kuznetsov, Yuri A. |
Issue Date: | 2023 | Publisher: | SPRINGER | Source: | Journal of Dynamics and Differential Equations, | Status: | Early view | Abstract: | In this paper, we prove the existence of a periodic smooth finite-dimensional center manifold near a nonhyperbolic cycle in classical delay differential equations by using the Lyapunov-Perron method. The results are based on the rigorous functional analytic perturbation framework for dual semigroups (sun-star calculus). The generality of the dual perturbation framework ensures that the results extend to a much broader class of evolution equations. | Notes: | Lentjes, B (corresponding author), Hasselt Univ, Dept Math, Diepenbeek Campus, B-3590 Diepenbeek, Belgium. bram.lentjes@uhasselt.be; l.spek@utwente.nl; maikel.bosschaert@uhasselt.be; i.a.kouznetsov@uu.nl |
Keywords: | Delay differential equations;Dual perturbation theory;Sun-star calculus;Center manifold theorem;Nonhyperbolic cycles | Document URI: | http://hdl.handle.net/1942/41515 | ISSN: | 1040-7294 | e-ISSN: | 1572-9222 | DOI: | 10.1007/s10884-023-10289-9 | ISI #: | 001043078600002 | Rights: | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023 | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Periodic Center Manifolds for DDEs in the Light of Suns and Stars.pdf | Peer-reviewed author version | 807.92 kB | Adobe PDF | View/Open |
s10884-023-10289-9.pdf Restricted Access | Early view | 750.07 kB | Adobe PDF | View/Open Request a copy |
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