Global solution curves for first order periodic problems, with applications. (December 2020)

• Record Type: Journal Article
• Authors: Korman, Philip; Schmidt, Dieter S.
• Is Part Of: Nonlinear analysis. Volume 56(2020)
• Publication Date: 2020-12
• Subjects: Periodic solutions -- Global solution curves -- Limit cycles -- Population models -- Numerical computations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103161
• Languages: English
• ISSNs: 1468-1218

Abstract

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.