Abundance of stable periodic behavior in a Red Grouse population model with delay: A consequence of homoclinicity

DOI10.1063/1.3527032zbMath1311.92169OpenAlexW1978092624WikidataQ42768608 ScholiaQ42768608MaRDI QIDQ5251340

Murilo da Silva Baptista, Julia Slipantschuk, Mohammed Zeineddine, E. Ullner, Marco Thiel

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3527032

zbMATH Keywords

bifurcationhomoclinicitycontinuous time-delayed population modelshrimp-shaped stability regions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

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Cites Work

• Chaotic attractors of an infinite-dimensional dynamical system
• Bifurcation phenomena near homoclinic systems: A two-parameter analysis
• Simulating, Analyzing, and Animating Dynamical Systems
• THE STRUCTURE OF INFINITE PERIODIC AND CHAOTIC HUB CASCADES IN PHASE DIAGRAMS OF SIMPLE AUTONOMOUS FLOWS
• Ergodic theory of chaos and strange attractors
• Crises, sudden changes in chaotic attractors, and transient chaos
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

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