Abstract
We present a two-dimensional, nonlinear map, arising from a simple adaptive control problem, which exhibits disconnected boundaries separating the basins of attraction of its coexisting attractors. We perform a detailed study of the relation between this phenomenon and the noninvertible nature of the map and demonstrate how the complex basin structure is caused by a change in the number of preimages of points along a stable manifold.
Original language | English (US) |
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Pages (from-to) | 95-105 |
Number of pages | 11 |
Journal | Journal of Nonlinear Science |
Volume | 1 |
Issue number | 1 |
DOIs | |
State | Published - Feb 1 1991 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Applied Mathematics
- Mathematics(all)
- Mechanics of Materials
- Computational Mechanics