Global aspects of turbulence induced by heteroclinic cycles in competitive diffusion Lotka-Volterra equation
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Publication:654171
DOI10.1016/j.physd.2011.01.001zbMath1397.76046OpenAlexW2057946409MaRDI QIDQ654171
Publication date: 28 December 2011
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2011.01.001
correlation lengthspatio-temporal chaosLyapunov spectrasupercritical Hopf bifurcationLyapunov dimension
PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55) Ecology (92D40) Dynamical systems approach to turbulence (76F20)
Related Items (5)
Order and Disorder in a Cyclically Competitive Ecological Community ⋮ On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems ⋮ Coupled heteroclinic networks in disguise ⋮ Solvable model for chemical oscillations ⋮ Bifurcation Analysis in an n-Dimensional Diffusive Competitive Lotka–Volterra System with Time Delay
Cites Work
- Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems
- Chemical oscillations, waves, and turbulence
- Turbulence in diffusion replicator equation
- The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
- Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation
- Robust heteroclinic cycles
- Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays
- Regular and stochastic motion
- Dynamic spectral analysis of phase turbulence
- The world of the complex Ginzburg-Landau equation
- An Entire Solution to the Lotka–Volterra Competition-Diffusion Equations
- Structurally stable heteroclinic cycles
- Nonlinear Aspects of Competition Between Three Species
- Pattern formation outside of equilibrium
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