Gallas J, Meucci R, Euzzor S, Pugliese E, Zambrano S, Gallas MR (2016)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2016
Publisher: American Physical Society
Book Volume: 116
Journal Issue: 4
DOI: 10.1103/PhysRevLett.116.044101
Phase-control techniques of chaos aim to extract periodic behaviors from chaotic systems by applying weak harmonic perturbations with a suitably chosen phase. However, little is known about the best strategy for selecting adequate perturbations to reach desired states. Here we use experimental measures and numerical simulations to assess the benefits of controlling individually the three terms of a Duffing oscillator. Using a real-time analog indicator able to discriminate on-the-fly periodic behaviors from chaos, we reconstruct experimentally the phase versus perturbation strength stability areas when periodic perturbations are applied to different terms governing the oscillator. We verify the system to be more sensitive to perturbations applied to the quadratic term of the double-well Duffing oscillator and to the quartic term of the single-well Duffing oscillator.
APA:
Gallas, J., Meucci, R., Euzzor, S., Pugliese, E., Zambrano, S., & Gallas, M.R. (2016). Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators. Physical Review Letters, 116(4). https://doi.org/10.1103/PhysRevLett.116.044101
MLA:
Gallas, Jason, et al. "Optimal Phase-Control Strategy for Damped-Driven Duffing Oscillators." Physical Review Letters 116.4 (2016).
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