2021/08/05 by K. J. H. Peters, S. R. K. Rodríguez, S. R. K. Rodriguez · 14 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Amplitude #Attractor #Cascade #Chaotic #Computer science #Control theory (sociology) #Dissipation #Engineering #Innovative Energy Harvesting Technologies #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Optics #Physics #Quantum mechanics #Resonator #Statistical physics #Synchronization (alternating current) #Telecommunications #nlin.CD #physics.app-ph #physics.class-ph #physics.optics
paper · pdf · doi:10.1140/epjs/s11734-021-00407-3
published in The European Physical Journal Special Topics 231(3), 247-254 (Springer Science+Business Media) · 4 figures, 7 pages
arxiv created 2021/08/05 · openalex publication_date 2022/01/28 · arxiv updated 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the inverse dissipation rate, we find stable limit cycles. For longer delays, we discover a regime of chaotic dynamics associated with a double scroll attractor. We also analyze the effects of time delay on the spectrum and oscillation amplitude of the oscillator. Our results point to new opportunities for nonlinear energy harvesting, provided that a nonlinearity with distributed time delay can be implemented in mechanical systems.