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- Title
Experimental Verification for Fractal Transition using a Forced Damped Oscillator.
- Authors
Gohara, Kazutoshi; Sakurai, Hiroshi; Sato, Shozo
- Abstract
A damped oscillator stochastically driven by temporal forces is experimentally investigated. The dynamics is characterized by a set Γ(C) of trajectories in a cylindrical space, where C is a set of initial states on the Poincaré section. Two sets, Γ(C) and C, are attractive and unique invariant fractal sets that approximately satisfy specific equations derived previously by the authors. The correlation dimension of the set C is in good agreement with the similarity dimension obtained for a strictly self-similar set constructed by contraction mappings while C is a self-affine set constructed by non-contraction mappings.
- Subjects
STATISTICAL correlation; FRACTALS; POINCARE series
- Publication
Fractals, 2000, Vol 8, Issue 1, p67
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X00000081