Turbulence in diffusion replicator equation

DOI10.1016/j.physd.2008.06.003zbMath1153.37452OpenAlexW2002312693MaRDI QIDQ1000681

Yoji Aizawa, Kenji Orihashi

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.06.003

zbMATH Keywords

spatio-temporal chaosscaling lawcorrelation length and timediffusion replicator equation

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Turbulence (76F99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Global aspects of turbulence induced by heteroclinic cycles in competitive diffusion Lotka-Volterra equation

Cites Work

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• Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems
• Lotka-Volterra equation and replicator dynamics: A two-dimensional classification
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
• Evolutionarily stable strategies and game dynamics
• Robust heteroclinic cycles
• Dynamic spectral analysis of phase turbulence
• The tanh method for traveling wave solutions of nonlinear equations
• Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation
• Huxley and Fisher equations for gene propagation: An exact solution
• On the occurrence of limit cycles in the Volterra-Lotka equation
• Travelling waves for games in economics and biology
• Evolutionary Games and Population Dynamics
• Evolutionary game dynamics
• Pattern formation outside of equilibrium

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