INTERMINGLED FRACTAL ARNOLD TONGUES

Accession Number: YY127-0047
Document Delivery: The Genuine Article Number: YY127
Authors: Paar V. Pavin N.
Reprint Address: Paar V
Title: INTERMINGLED FRACTAL ARNOLD TONGUES
Source: Physical Review A. 57(2 Part A):1544-1549, 1998 Feb.
ISSN: 1050-2947
KeyWords Plus: Chaotic dynamical-systems. Basin boundaries. Riddled basins. Sensitive dependence. Duffing equation. Bifurcation. Transition. Attractors. Parameters. Behavior.
Abstract: We present a pattern of multiply interwoven Arnold tongues in the case of the single-well Duffing oscillator at low dissipation and weak forcing: Strips of 2/2 Arnold tongues form a truncated fractal structure and the tonguelike regions in between an filled by finely intermingled fractal-like 1/1 and 3/3 Arnold tongues, which are fat fractals characterized by the uncertainty exponent alpha approximate to 0.7. The truncated fractal Arnold tongues are present in the case of high dissipation as well, while the intermingled fractal pattern gradually disappears with increasing dissipation. [S1063-651X(98)04002-1]. [References: 31]
Language: English
Publication Type: Article
CC Categories: Physics.
Subset: Current Contents/Physical, Chemical & Earth Sciences
Institution: Reprint available from:
Paar V
UNIV ZAGREB
FAC SCI
DEPT PHYS
ZAGREB 41000
CROATIA