Fractal basins in Henon-Heiles and other polynomial potentials

Authors
de Moura, APS Letelier, PS
Citation
Aps. De Moura et Ps. Letelier, Fractal basins in Henon-Heiles and other polynomial potentials, PHYS LETT A, 256(5-6), 1999, pp. 362-368
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
256
Issue
5-6
Year of publication
1999
Pages
362 - 368
Database
ISI
SICI code
0375-9601(19990614)256:5-6<362:FBIHAO>2.0.ZU;2-R
Abstract
The dynamics of several Hamiltonian systems of two degrees of freedom with polynomial potentials is examined. All these systems present unbounded traj ectories escaping along different routes. The motion in these open systems is characterized by a fractal boundary (and its corresponding fractal dimen sion) separating the basins of the escape routes. The fractal (basin bounda ry) dimensions for these systems are studied in some detail. (C) 1999 Elsev ier Science B.V. All rights reserved.