Applications of chaos control techniques to a three-species food chain

DOI10.1016/J.CHAOS.2006.07.027zbMath1139.93303OpenAlexW4233264799MaRDI QIDQ5920471

Evandro Manica, Maria Cristina Varriale, Alexandra A. Gomes

Publication date: 12 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.07.027

zbMATH Keywords

nonlinear ordinary differential equationsOtt-Grebogi-Yorke methoddeterministic chaos in ecosystems

Mathematics Subject Classification ID

Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Non-constant positive steady states for the HP food chain system with cross-diffusions ⋮ HOPF BIFURCATION AND CHAOS OF A HYBRID THREE-SPECIES FOOD CHAIN WITH TIME DELAYED INTERVENTION ⋮ Topological horseshoe and its uniform hyperbolicity in the HP model ⋮ Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion ⋮ Neimark-Sacker bifurcation and controlling chaos in a three-species food chain model through the OGY method ⋮ Rank-One Chaos in a Periodically Kicked Three-Species Food Chain with Time-Delay

Cites Work

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• Chaos control of chaotic dynamical systems using backstepping design
• Determining Lyapunov exponents from a time series
• Chaos in three species food chains
• Techniques for the control of chaos
• Low- and High-Frequency Oscillations in Three-Dimensional Food Chain Systems
• Controlling chaos
• Chaos: An Ecological Reality?
• Controlling chaotic dynamical systems

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