Strange attractors in periodically kicked predator-prey system with discrete and distributed delay

DOI10.1016/j.chaos.2016.10.008zbMath1372.92088OpenAlexW2531191640WikidataQ115579790 ScholiaQ115579790MaRDI QIDQ2408359

Yiping Lin, Zhiliang Luo, Yunxian Dai

Publication date: 12 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.10.008

zbMATH Keywords

strange attractorspredator-prey systemperiodically kickeddiscrete and distributed delay

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Cites Work

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• Rank one chaos in periodically kicked Lotka-Volterra predator-prey system with time delay
• Rank one chaos in a switch-controlled Chua's circuit
• The dynamics of the Hénon map
• Stability and bifurcation analysis on a logistic model with discrete and distributed delays
• From limit cycles to strange attractors
• On iterations of \(1-\alpha x^2\) on \((-1,1)\)
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Abundance of strange attractors
• Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model
• Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
• Ergodic theory of chaos and strange attractors
• STRANGE ATTRACTORS IN PERIODICALLY KICKED CHUA'S CIRCUIT
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms