Research output: Contribution to journal › Article › peer-review
Feedback resonance in Fermi–Pasta–Ulam chain. / Usik, E.; Amelina, N.; Fradkov, A.L.
In: Chaos, Solitons and Fractals, Vol. 181, 01.04.2024.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Feedback resonance in Fermi–Pasta–Ulam chain
AU - Usik, E.
AU - Amelina, N.
AU - Fradkov, A.L.
N1 - Export Date: 21 March 2024 CODEN: CSFOE Адрес для корреспонденции: Fradkov, A.L.; Institute for Problems of Mechanical Engineering of Russian Academy of Sciences, V.O., Bolshoj pr. 61, Russian Federation; эл. почта: fradkov@mail.ru Сведения о финансировании: Government Council on Grants, Russian Federation, 70-2023-001321 Текст о финансировании 1: The work was carried out with partial financial support from the autonomous non-profit organization “ Analytical Center for the Government of the Russian Federation ” (Agreement No. 70-2023-001321 dated Dec. 27, 2023). Control algorithm design (Section 3.2) was carried out under support of the state assignment of IPME RAS.
PY - 2024/4/1
Y1 - 2024/4/1
N2 - 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
AB - 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
KW - Control
KW - Energy equipartition
KW - Feedback Resonance
KW - FPU lattice
KW - Computer control systems
KW - Feedback
KW - Equipartition
KW - Feedback control algorithms
KW - Feedback controlled systems
KW - Feedback resonances
KW - Fermi-Pasta-Ulam chain
KW - Gradient approach
KW - Open-loop
KW - Ulam problem
KW - Degrees of freedom (mechanics)
UR - https://www.mendeley.com/catalogue/55e414ea-d445-3ab4-a1d3-c527c48e4932/
U2 - 10.1016/j.chaos.2024.114661
DO - 10.1016/j.chaos.2024.114661
M3 - статья
VL - 181
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
ER -
ID: 117803704