THE FORMATION AND EVOLUTION OF FRACTAL STRUCTURE WITHIN CHAOTIC ATTRACTORS

Authors
JENKINS P HEFFERNAN DM
Citation
P. Jenkins et Dm. Heffernan, THE FORMATION AND EVOLUTION OF FRACTAL STRUCTURE WITHIN CHAOTIC ATTRACTORS, International journal of theoretical physics, 33(2), 1994, pp. 459-486
Citations number
34
Categorie Soggetti
Physics
Journal title
International journal of theoretical physics → ACNP
ISSN journal
00207748
Volume
33
Issue
2
Year of publication
1994
Pages
459 - 486
Database
ISI
SICI code
0020-7748(1994)33:2<459:TFAEOF>2.0.ZU;2-P
Abstract
In this paper we examine in detail the formation and evolution of frac tal structure in the chaotic attractors of nonlinear dynamical systems . We explicitly obtain the fractal structure of the underlying chaotic attractors of low-dimensional systems and study their evolution as a system parameter is varied. Using periodic enumeration, dimensional, a nd f(alpha) spectral techniques, we obtain a detailed characterization of the multifractal structure.