Complex dynamics in a food chain with slow and fast processes

DOI10.1016/j.chaos.2009.04.050zbMath1198.37127OpenAlexW2002564975MaRDI QIDQ603584

Yongxin Jiang, Jian-Ping Yang

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.04.050

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Multiple scale methods for ordinary differential equations (34E13)

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Cites Work

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• An application of the separation principle for detecting slow-fast limit cycles in a three-dimensional system
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Persistent unstable equilibria and closed orbits of a singularly perturbed equation
• Geometric singular perturbation theory for ordinary differential equations
• Limit cycles in slow-fast forest-pest models
• Singular homoclinic bifurcations in tritrophic food chains
• Singular perturbation with Hopf points in the fast dynamics
• Low- and high-frequency oscillations in a food chain where one of the competing species feeds on the other
• Chaotic population dynamics and biology of the top-predator
• Relaxation oscillations in a class of predator-prey systems.
• Remarks on food chain dynamics
• Chaos and Hopf bifurcation of a hybrid ratio-dependent three species food chain
• Food chain chaos due to junction-fold point
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Extending slow manifolds near transcritical and pitchfork singularities
• Non-standard analysis and singular perturbations of ordinary differential equations
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems
• Homoclinic bifurcations in slow-fast second order systems
• Food chain chaos due to Shilnikov’s orbit