Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line
A hybrid dynamical system is one whose behavior is governed by both continuous and discrete dynamics; that is, it exhibits both flows and jumps. The field of hybrid dynamical systems is relatively recent and encompasses a broad range of phenomena, and is often used to model various natural processes...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:326008 |
| Acceso en línea: | https://ddd.uab.cat/record/326008 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2026.104607 |
| Access Level: | acceso embargado |
| Palabra clave: | Limit cycles Discontinuous piecewise differential systems Rigid systems Hybrid system |
| Sumario: | A hybrid dynamical system is one whose behavior is governed by both continuous and discrete dynamics; that is, it exhibits both flows and jumps. The field of hybrid dynamical systems is relatively recent and encompasses a broad range of phenomena, and is often used to model various natural processes. In this paper, we investigate the maximum number of limit cycles that can arise in certain classes of discontinuous piecewise differential systems. These systems consist of two hybrid rigid subsystems separated by a straight line, where each rigid subsystem is composed of a linear center perturbed by a homogeneous polynomial of degree 2, 3, 4, 5 or 6. For these classes of piecewise systems, we address the extended 16th Hilbert problem. |
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