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arXiv · 2601.15579

Global solution curves for first order periodic problems, with applications

Philip Korman·Dieter S. Schmidt
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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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Philip Korman, Dieter S. Schmidt. 2026-01-22. Global solution curves for first order periodic problems, with applications. https://arxiv.org/abs/2601.15579

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