Analytical investigation of the chaotic dynamics of a two-dimensional Lotka-Volterra system with a seasonality factor

DOI10.1134/S0965542521010024zbMath1465.37101OpenAlexW3143593188MaRDI QIDQ2662809

Yu. V. Bibik

Publication date: 15 April 2021

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521010024

zbMATH Keywords

chaosseasonalityLotka-Volterra systemChirikov's resonance overlap method

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Population dynamics (general) (92D25) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Cites Work

• Unnamed Item
• Universal behaviour in families of area-preserving maps
• The universal metric properties of nonlinear transformations
• Strange attractors in Volterra equations for species in competition
• Quantitative universality for a class of nonlinear transformations
• Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system
• Chaos in perturbed Lotka-Volterra systems
• On chaos in Lotka–Volterra systems: an analytical approach
• Chaos in low-dimensional Lotka–Volterra models of competition
• Controlling chaos
• Deterministic Nonperiodic Flow
• Synchronization in chaotic systems
• Fractional gray Lotka-Volterra models with application to cryptocurrencies adoption