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Zero-dispersion non-linear resonance

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Zero-dispersion non-linear resonance. / Soskin, S. M.; Luchinsky, D. G.
In: Il Nuovo Cimento D, Vol. 17, No. 7-8, 01.07.1995, p. 915-924.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Soskin, SM & Luchinsky, DG 1995, 'Zero-dispersion non-linear resonance', Il Nuovo Cimento D, vol. 17, no. 7-8, pp. 915-924. https://doi.org/10.1007/BF02451849

APA

Soskin, S. M., & Luchinsky, D. G. (1995). Zero-dispersion non-linear resonance. Il Nuovo Cimento D, 17(7-8), 915-924. https://doi.org/10.1007/BF02451849

Vancouver

Soskin SM, Luchinsky DG. Zero-dispersion non-linear resonance. Il Nuovo Cimento D. 1995 Jul 1;17(7-8):915-924. doi: 10.1007/BF02451849

Author

Soskin, S. M. ; Luchinsky, D. G. / Zero-dispersion non-linear resonance. In: Il Nuovo Cimento D. 1995 ; Vol. 17, No. 7-8. pp. 915-924.

Bibtex

@article{79d4ce9958894d868accd5e0e1f5a3fe,
title = "Zero-dispersion non-linear resonance",
abstract = "A new type of non-linear resonance is reported. It possesses an unusual counterintuitive feature, namely that: strong non-linear response to a weak periodic force can be obtained in the absence of exact resonance between frequency of the force and any eigenfrequency of the system. It is shown that the topology of phase trajectories differs substantially from the case of conventional non-linear resonance. The frequency of a driving force at which the transition between the conventional non-linear resonance and the zero-dispersion one takes place is found. Possible applications are discussed.",
keywords = "Chaos, Classical mechanics of discrete systems: general mathematical aspects, Conference proceedings, Fluctuation phenomena, random processes and Brownian motion",
author = "Soskin, {S. M.} and Luchinsky, {D. G.}",
year = "1995",
month = jul,
day = "1",
doi = "10.1007/BF02451849",
language = "English",
volume = "17",
pages = "915--924",
journal = "Il Nuovo Cimento D",
issn = "0392-6737",
publisher = "Editrice Compositori s.r.l.",
number = "7-8",

}

RIS

TY - JOUR

T1 - Zero-dispersion non-linear resonance

AU - Soskin, S. M.

AU - Luchinsky, D. G.

PY - 1995/7/1

Y1 - 1995/7/1

N2 - A new type of non-linear resonance is reported. It possesses an unusual counterintuitive feature, namely that: strong non-linear response to a weak periodic force can be obtained in the absence of exact resonance between frequency of the force and any eigenfrequency of the system. It is shown that the topology of phase trajectories differs substantially from the case of conventional non-linear resonance. The frequency of a driving force at which the transition between the conventional non-linear resonance and the zero-dispersion one takes place is found. Possible applications are discussed.

AB - A new type of non-linear resonance is reported. It possesses an unusual counterintuitive feature, namely that: strong non-linear response to a weak periodic force can be obtained in the absence of exact resonance between frequency of the force and any eigenfrequency of the system. It is shown that the topology of phase trajectories differs substantially from the case of conventional non-linear resonance. The frequency of a driving force at which the transition between the conventional non-linear resonance and the zero-dispersion one takes place is found. Possible applications are discussed.

KW - Chaos

KW - Classical mechanics of discrete systems: general mathematical aspects

KW - Conference proceedings

KW - Fluctuation phenomena, random processes and Brownian motion

U2 - 10.1007/BF02451849

DO - 10.1007/BF02451849

M3 - Journal article

AN - SCOPUS:51249169801

VL - 17

SP - 915

EP - 924

JO - Il Nuovo Cimento D

JF - Il Nuovo Cimento D

SN - 0392-6737

IS - 7-8

ER -