Fractal Basin Boundaries Generated by Basin Cells and the Geometry of Mixing Chaotic Flows
Authors:
- 24 January 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 84 (4) , 626-629
Abstract
Experiments and computations indicate that mixing in chaotic flows generates certain coherent spatial structures. If a two-dimensional basin has a basin cell (a trapping region whose boundary consists of pieces of the stable and unstable manifold of some periodic orbit) then the basin consists of a central body (the basin cell) and a finite number of channels attached to it and the basin boundary is fractal. We demonstrate an amazing property for certain global structures: A basin has a basin cell if and only if every diverging curve comes close to every basin boundary point of that basin.Keywords
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