Global solution curves for first order periodic problems,with applications |
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| Institution: | 1. Département de Mathématique, Université libre de Bruxelles, CP 214, Boulevard du Triomphe, B-1050 Bruxelles, Belgium;2. Dipartimento di Meccanica, Matematica e Management, Politecnico di Bari, Via Orabona 4, 70125 Bari, Italy;3. Institut fuer Analysis, Karlsruher Institut fuer Technologie, Englerstrasse 2, 76131 Karlsruhe, Germany;1. Department of Mathematics, Pusan National University, Busan 46241, Republic of Korea;2. Department of Mathematics, University of Ulsan, Ulsan 44610, Republic of Korea;1. Department of Civil and Environmental Engineering, Rice University, Houston, TX 77005, United States;2. Department of Mechanical Engineering, Rice University, Houston, TX 77005, United States |
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| Abstract: | 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. |
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| Keywords: | Periodic solutions Global solution curves Limit cycles Population models Numerical computations |
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