# Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock

@article{Postlethwaite2020StabilityOC, title={Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock}, author={Claire M. Postlethwaite and Alastair M. Rucklidge}, journal={arXiv: Dynamical Systems}, year={2020} }

The well-known game of Rock--Paper--Scissors can be used as a simple model of competition between three species. When modelled in continuous time using differential equations, the resulting system contains a heteroclinic cycle between the three equilibrium solutions representing the existence of only a single species. The game can be extended in a symmetric fashion by the addition of two further strategies (`Lizard' and `Spock'): now each strategy is dominant over two of the remaining four… Expand

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