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Resonant Separatrix Activation in Weakly-Dissipative Systems

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Resonant Separatrix Activation in Weakly-Dissipative Systems. / Khovanov, Igor A.; McClintock, Peter V. E.; Stocks, Nigel G. et al.
2023 International Conference on Noise and Fluctuations (ICNF). IEEE, 2024.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

Harvard

Khovanov, IA, McClintock, PVE, Stocks, NG & Soskin, SM 2024, Resonant Separatrix Activation in Weakly-Dissipative Systems. in 2023 International Conference on Noise and Fluctuations (ICNF). IEEE. https://doi.org/10.1109/ICNF57520.2023.10472752

APA

Khovanov, I. A., McClintock, P. V. E., Stocks, N. G., & Soskin, S. M. (2024). Resonant Separatrix Activation in Weakly-Dissipative Systems. In 2023 International Conference on Noise and Fluctuations (ICNF) IEEE. https://doi.org/10.1109/ICNF57520.2023.10472752

Vancouver

Khovanov IA, McClintock PVE, Stocks NG, Soskin SM. Resonant Separatrix Activation in Weakly-Dissipative Systems. In 2023 International Conference on Noise and Fluctuations (ICNF). IEEE. 2024 Epub 2023 Oct 17. doi: 10.1109/ICNF57520.2023.10472752

Author

Khovanov, Igor A. ; McClintock, Peter V. E. ; Stocks, Nigel G. et al. / Resonant Separatrix Activation in Weakly-Dissipative Systems. 2023 International Conference on Noise and Fluctuations (ICNF). IEEE, 2024.

Bibtex

@inproceedings{87a4942d540541fbbac3689df433636c,
title = "Resonant Separatrix Activation in Weakly-Dissipative Systems",
abstract = "We report a new phenomenon, resonant separatrix activation (RSA), in which a significant decrease in an activation barrier occurs due to weak periodic driving at the appropriate frequency. This decrease greatly exceeds the maximum decrease caused by adiabatic driving of the same amplitude. RSA is observed in weakly-dissipative systems possessing two or more saddles. The mechanism is a strong resonant quasi-regular variation of energy within the area of transient chaos related to the saddle-associated separatrix(ces) of the undriven system. The most pronounced RSA occurs when the saddles have different energies, and this difference ΔE is comparable to the original activation barrier: the resonant driving provides inter-separatrix transport, thus reducing the activation barrier by ΔE. RSA can be observed in natural systems, e.g. in fluidic, atmospheric and planetary transport, and can be used in engineered systems with a large quality factors, e.g. NEMS/MEMS.",
keywords = "Weakly-dissipative systems, separatrix chaos, zero-dispersion resonance, resonance, noise-induced transitions",
author = "Khovanov, {Igor A.} and McClintock, {Peter V. E.} and Stocks, {Nigel G.} and Soskin, {Stanislav M.}",
year = "2024",
month = mar,
day = "25",
doi = "10.1109/ICNF57520.2023.10472752",
language = "English",
isbn = "9798350330120",
booktitle = "2023 International Conference on Noise and Fluctuations (ICNF)",
publisher = "IEEE",

}

RIS

TY - GEN

T1 - Resonant Separatrix Activation in Weakly-Dissipative Systems

AU - Khovanov, Igor A.

AU - McClintock, Peter V. E.

AU - Stocks, Nigel G.

AU - Soskin, Stanislav M.

PY - 2024/3/25

Y1 - 2024/3/25

N2 - We report a new phenomenon, resonant separatrix activation (RSA), in which a significant decrease in an activation barrier occurs due to weak periodic driving at the appropriate frequency. This decrease greatly exceeds the maximum decrease caused by adiabatic driving of the same amplitude. RSA is observed in weakly-dissipative systems possessing two or more saddles. The mechanism is a strong resonant quasi-regular variation of energy within the area of transient chaos related to the saddle-associated separatrix(ces) of the undriven system. The most pronounced RSA occurs when the saddles have different energies, and this difference ΔE is comparable to the original activation barrier: the resonant driving provides inter-separatrix transport, thus reducing the activation barrier by ΔE. RSA can be observed in natural systems, e.g. in fluidic, atmospheric and planetary transport, and can be used in engineered systems with a large quality factors, e.g. NEMS/MEMS.

AB - We report a new phenomenon, resonant separatrix activation (RSA), in which a significant decrease in an activation barrier occurs due to weak periodic driving at the appropriate frequency. This decrease greatly exceeds the maximum decrease caused by adiabatic driving of the same amplitude. RSA is observed in weakly-dissipative systems possessing two or more saddles. The mechanism is a strong resonant quasi-regular variation of energy within the area of transient chaos related to the saddle-associated separatrix(ces) of the undriven system. The most pronounced RSA occurs when the saddles have different energies, and this difference ΔE is comparable to the original activation barrier: the resonant driving provides inter-separatrix transport, thus reducing the activation barrier by ΔE. RSA can be observed in natural systems, e.g. in fluidic, atmospheric and planetary transport, and can be used in engineered systems with a large quality factors, e.g. NEMS/MEMS.

KW - Weakly-dissipative systems, separatrix chaos, zero-dispersion resonance, resonance, noise-induced transitions

U2 - 10.1109/ICNF57520.2023.10472752

DO - 10.1109/ICNF57520.2023.10472752

M3 - Conference contribution/Paper

SN - 9798350330120

BT - 2023 International Conference on Noise and Fluctuations (ICNF)

PB - IEEE

ER -