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={Nonlinearity},
  year={2020},
  volume={35},
  pages={1702 - 1733}
}
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… 

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