Truncated-fractal basin boundaries in forced pendulum systems
- 22 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (8) , 665-668
- https://doi.org/10.1103/physrevlett.60.665
Abstract
This Letter reexamines questions about the practicality of computing the exact stability domains of certain classes of pendulum systems. We display plots showing that the intertwining of neighboring domains have a self-affine truncated-fractal structure. A simple proof of the existence of diffeomorphisms from connected basins to striated basins is also presented.Keywords
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