Feedback resonance in Fermi–Pasta–Ulam chain

Links

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85186571249&doi=10.1016%2fj.chaos.2024.114661&partnerID=40&md5=3a3625b007cd52567aee5493dd71f596

DOI

https://doi.org/10.1016/j.chaos.2024.114661
Final published version

A controlled version of the celebrated Fermi–Pasta–Ulam problem is introduced. The feedback control algorithm based on Speed-gradient approach is proposed and analyzed by extensive computer simulation. It is demonstrated that the feedback controlled system tends to approximate equipartition state much faster than it happens in the open loop (classical) system. Apparently a substantial change in system behavior is achieved with a small intensity control: less than 0.5% of the total system energy. Such a behavior has been observed and analyzed previously for oscillators with one degree-of-freedom (DOF) under the name of feedback resonance (Fradkov A.L., Physica D, 128(1999), 159-168. The results of this paper suggest that feedback resonance phenomenon may be observed in multi-DOF oscillator chains, particularly in FPU chain. © 2024 Elsevier Ltd

Original language	English
Journal	Chaos, Solitons and Fractals
Volume	181
DOIs	https://doi.org/10.1016/j.chaos.2024.114661
State	Published - 1 Apr 2024

Research areas

Control, Energy equipartition, Feedback Resonance, FPU lattice, Computer control systems, Feedback, Equipartition, Feedback control algorithms, Feedback controlled systems, Feedback resonances, Fermi-Pasta-Ulam chain, Gradient approach, Open-loop, Ulam problem, Degrees of freedom (mechanics)

ID: 117803704