Dynamics of coupled nonlinear maps and its application to ecological modeling
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Publication:1354127
DOI10.1016/S0096-3003(96)00027-6zbMath0908.92033MaRDI QIDQ1354127
Publication date: 16 March 1999
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Population dynamics (general) (92D25) Ecology (92D40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items (6)
Some global properties of a pair of coupled maps: Quasi-symmetry, periodicity, and synchronicity ⋮ Using couplings to suppress chaos and produce a population stabilisation strategy ⋮ Implementation of approach to compute the Lyapunov characteristic exponents for continuous dynamical systems to higher dimensions ⋮ Conservative quasipolynomial maps ⋮ Parrondo's paradox or chaos control in discrete two-dimensional dynamic systems ⋮ Computational explorations into the dynamics of rings of coupled oscillators.
Cites Work
- The universal metric properties of nonlinear transformations
- Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
- Bifurcation in a coupled logistic map. Some analytic and numerical results
- Some phase transitions in coupled map lattices
- Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model
- Rayleigh-Bénard convection. Patterns, chaos, spatiotemporal chaos and turbulence
- Period three may not mean chaos: An example of a piecewise linear map
- Quantitative universality for a class of nonlinear transformations
- On the nature of turbulence
- Transition from Torus to Chaos Accompanied by Frequency Lockings with Symmetry Breaking: In Connection with the Coupled-Logistic Map
- Symmetry breaking bifurcation for coupled chaotic attractors
- Simple mathematical models with very complicated dynamics
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