Nonlinear dynamics with Hopf bifurcations by targeted mutation in the system of rock-paper-scissors metaphor

DOI10.1063/1.5081966zbMath1411.37072OpenAlexW2919291755WikidataQ92714567 ScholiaQ92714567MaRDI QIDQ4631831

Junpyo Park

Publication date: 23 April 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5081966

Mathematics Subject Classification ID

Problems related to evolution (92D15) Dynamical systems in biology (37N25)

Related Items (6)

The role of pairwise nonlinear evolutionary dynamics in the rock-paper-scissors game with noise ⋮ Unnamed Item ⋮ Diffusively-coupled rock-paper-scissors game with mutation in scale-free hierarchical networks ⋮ Calculating biodiversity under stochastic evolutionary dynamics ⋮ Properties of a novel stochastic rock-paper-scissors dynamics ⋮ Emergence of oscillatory coexistence with exponentially decayed waiting times in a coupled cyclic competition system

Cites Work

• Unnamed Item
• Hopf bifurcations in delayed rock-paper-scissors replicator dynamics
• Discretized best-response dynamics for the Rock-Paper-Scissors game
• The influence of mobility rate on spiral waves in spatial rock-paper-scissors games
• The selection mutation equation
• Buyer search and price dispersion: a laboratory study.
• Cycle frequency in standard rock-paper-scissors games: evidence from experimental economics
• Oscillatory dynamics in rock-paper-scissors games with mutations
• Symmetry breaking in cyclic competition by niche construction
• Stochastic patterns in a 1D rock-paper-scissors model with mutation
• Self-organization of mobile populations in cyclic competition
• Balancedness among competitions for biodiversity in the cyclic structured three species system
• A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles
• Nonlinear Aspects of Competition Between Three Species
• Evolutionary Games and Population Dynamics
• Biodiversity in the cyclic competition system of three species according to the emergence of mutant species
• Cycles and Instability in a Rock-Paper-Scissors Population Game: A Continuous Time Experiment
• Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems
• Basins of coexistence and extinction in spatially extended ecosystems of cyclically competing species

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