Global solution curves for first order periodic problems, with applications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914272271925248 |
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| author | Korman, Philip Schmidt, Dieter S. |
| author_facet | Korman, Philip Schmidt, Dieter S. |
| contents | Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. The results are applied to a population model with fishing, and to the existence and stability of limit cycles. We also describe in detail our numerical computations of curves of periodic solutions, and of limit cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15579 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global solution curves for first order periodic problems, with applications Korman, Philip Schmidt, Dieter S. Dynamical Systems Classical Analysis and ODEs Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. The results are applied to a population model with fishing, and to the existence and stability of limit cycles. We also describe in detail our numerical computations of curves of periodic solutions, and of limit cycles. |
| title | Global solution curves for first order periodic problems, with applications |
| topic | Dynamical Systems Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2601.15579 |