Linearly Stable Subharmonic Orbits in Strongly Monotone Time-Periodic Dynamical Systems

DOI10.2307/2159216zbMath0755.34039OpenAlexW4234683275MaRDI QIDQ4013480

Peter Takáč

Publication date: 27 September 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159216

zbMATH Keywords

periodic boundary conditionspositive feedbackcooperative systemChebyshev's polynomialsstable subharmonic orbitsone-dimensional reaction- diffusion PDEstrongly monotone time-periodic dynamical systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Periodic solutions to ordinary differential equations (34C25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Dynamical systems and ergodic theory (37-XX)

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