Stability of Cycles in a Game of Rock-Scissors-Paper-Lizard-Spock

DOI10.1137/21M1435215MaRDI QIDQ5056843

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Publication date: 8 December 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.09383

zbMATH Keywords

asymptotic stabilityheteroclinic cycleheteroclinic networkessential asymptotic stabilityfragmentary asymptotic stabilityRock-Scissors-Paper-Lizard-Spock game

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Evolutionary games (91A22) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Stability of heteroclinic cycles: a new approach based on a replicator equation ⋮ Finite switching near heteroclinic networks ⋮ Behaviour of trajectories near a two-cycle heteroclinic network

Cites Work

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• On the relationship between cyclic and hierarchical three-species predator-prey systems and the two-species Lotka-Volterra model

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