A dynamical meaning of fractal dimension
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- by Steve Pelikan PDF
- Trans. Amer. Math. Soc. 292 (1985), 695-703 Request permission
Abstract:
When two attractors of a dynamical system have a common basin boundary $B$, small changes in initial conditions which lie near $B$ can result in radically different long-term behavior of the trajectory. A quantitative description of this phenomenon is obtained in terms of the fractal dimension of the basin boundary $B$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 292 (1985), 695-703
- MSC: Primary 58F13; Secondary 58F14
- DOI: https://doi.org/10.1090/S0002-9947-1985-0808747-6
- MathSciNet review: 808747