Small-scale structure of nonlinearly interacting species advected by chaotic flows

Details Small-scale structure of nonlinearly interacting species advected by chaotic flows Small-scale structure of nonlinearly interacting species advected by chaotic flows

2001-11-14

arxiv.org/abs/nlin/0111033v1

Chaos 12, 470 (2002)

Nonlinear Sciences

Chaotic Dynamics

17 pages, 6 figures

Scientific paper

10.1063/1.1468248

We study the spatial patterns formed by interacting biological populations or reacting chemicals under the influence of chaotic flows. Multiple species and nonlinear interactions are explicitly considered, as well as cases of smooth and nonsmooth forcing sources. The small-scale structure can be obtained in terms of characteristic Lyapunov exponents of the flow and of the chemical dynamics. Different kinds of morphological transitions are identified. Numerical results from a three-component plankton dynamics model support the theory, and they serve also to illustrate the influence of asymmetric couplings.

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