engleski

Intermingled fractal Arnold tongues

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 are filled by finely interwoven intermingled fractal-like 1/1 and 3/3 Arnold tongues, which are fat fractals characterized by the uncertainty exponent with alpha around 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.

Arnold tongues; single-well Duffing oscillator; intermingled fractal-like tongues; uncertainty exponent; fat fractals; truncated fractals

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