On the destabilization of a periodically driven three-dimensional torus

Year: 2021

Authors: Euzzor S., Di Garbo A., Ginoux JM., Zambrano S., Arecchi FT., Meucci R.

Autors Affiliation: CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy; CNR, Ist Biofis, Via G Moruzzi 1, I-56124 Pisa, Italy; Univ Toulon & Var, Aix Marseille Univ, CPT, CNRS, Marseille, France; Univ Vita Salute San Raffaele, Sch Med, Milan, Italy; IRCCS San Raffaele Sci Inst, Div Genet & Cell Biol, Milan, Italy; Univ Firenze, Dept Phys & Astron, Florence, Italy.

Abstract: We report experimental evidence of the destabilization of a 3D torus obtained when a small subharmonic perturbation is added to a 2D torus characteristic of a driven relaxation oscillator. The Poincare sections indicate that the torus breakup is sensitive to the phase difference between the main driving frequency and its first subharmonic perturbing component. The observed transition confirms the Newhouse, Ruelle and Takens quasiperiodic transition to chaos on a 3D torus. Numerical results on a sinusoidally perturbed circle map mirror the experimental results and confirm the key role of the phase difference in the transition between distinct dynamical regimes.

Journal/Review: NONLINEAR DYNAMICS

Volume: 103 (2)      Pages from: 1969  to: 1977

KeyWords: Oscillators; Nonlinear systems; Nonlinear dynamical systems; Electronic circuits; Chaos
DOI: 10.1007/s11071-020-06174-5

Citations: 4
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