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Feedback resonance in Fermi–Pasta–Ulam chain. / Usik, E.; Amelina, N.; Fradkov, A.L.

In: Chaos, Solitons and Fractals, Vol. 181, 01.04.2024.

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Usik, E. ; Amelina, N. ; Fradkov, A.L. / Feedback resonance in Fermi–Pasta–Ulam chain. In: Chaos, Solitons and Fractals. 2024 ; Vol. 181.

BibTeX

@article{5b3e4cfd85744ccca45b7c21535286a4,
title = "Feedback resonance in Fermi–Pasta–Ulam chain",
abstract = "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. {\textcopyright} 2024 Elsevier Ltd",
keywords = "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)",
author = "E. Usik and N. Amelina and A.L. Fradkov",
note = "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.",
year = "2024",
month = apr,
day = "1",
doi = "10.1016/j.chaos.2024.114661",
language = "Английский",
volume = "181",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier",

}

RIS

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