Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock
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Publication:5036286
DOI10.1088/1361-6544/ac3560zbMath1495.37020arXiv2010.10666OpenAlexW3094439386MaRDI QIDQ5036286
Claire M. Postlethwaite, Alastair M. Rucklidge
Publication date: 23 February 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.10666
Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Evolutionary games (91A22) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Equivariant dynamical systems (37C81)
Related Items (6)
Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock ⋮ Two-dimensional heteroclinic connections in the generalized Lotka–Volterra system ⋮ Stability of heteroclinic cycles: a new approach based on a replicator equation ⋮ Finite switching near heteroclinic networks ⋮ Travelling waves and heteroclinic networks in models of spatially-extended cyclic competition ⋮ Behaviour of trajectories near a two-cycle heteroclinic network
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