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 Arnold tongues form a truncated fractal structure and the tonguelike regions in between are filled by finely intermingled fractal-like and Arnold tongues, which are fat fractals characterized by the uncertainty exponent . 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.
- Received 6 March 1997
DOI:https://doi.org/10.1103/PhysRevE.57.1544
©1998 American Physical Society