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Stabilization of cyclic processes by slowly varying forcing

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

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Stabilization of cyclic processes by slowly varying forcing. / Newman, J.; Lucas, M.; Stefanovska, A.
In: Chaos, Vol. 31, No. 12, 123129, 30.12.2021.

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

Harvard

Newman, J, Lucas, M & Stefanovska, A 2021, 'Stabilization of cyclic processes by slowly varying forcing', Chaos, vol. 31, no. 12, 123129. https://doi.org/10.1063/5.0066641

APA

Newman, J., Lucas, M., & Stefanovska, A. (2021). Stabilization of cyclic processes by slowly varying forcing. Chaos, 31(12), Article 123129. https://doi.org/10.1063/5.0066641

Vancouver

Newman J, Lucas M, Stefanovska A. Stabilization of cyclic processes by slowly varying forcing. Chaos. 2021 Dec 30;31(12):123129. doi: 10.1063/5.0066641

Author

Newman, J. ; Lucas, M. ; Stefanovska, A. / Stabilization of cyclic processes by slowly varying forcing. In: Chaos. 2021 ; Vol. 31, No. 12.

Bibtex

@article{2a5bd4f6e01e49b0a1a74f624f73f3e2,
title = "Stabilization of cyclic processes by slowly varying forcing",
abstract = "We introduce a new mathematical framework for the qualitative analysis of dynamical stability, designed particularly for finite-time processes subject to slow-timescale external influences. In particular, our approach is to treat finite-time dynamical systems in terms of a slow-fast formalism in which the slow time only exists in a bounded interval, and consider stability in the singular limit. Applying this to one-dimensional phase dynamics, we provide stability definitions somewhat analogous to the classical infinite-time definitions associated with Aleksandr Lyapunov. With this, we mathematically formalize and generalize a phase-stabilization phenomenon previously described in the physics literature for which the classical stability definitions are inapplicable and instead our new framework is required.",
keywords = "article, physics, qualitative analysis",
author = "J. Newman and M. Lucas and A. Stefanovska",
year = "2021",
month = dec,
day = "30",
doi = "10.1063/5.0066641",
language = "English",
volume = "31",
journal = "Chaos",
issn = "1089-7682",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

RIS

TY - JOUR

T1 - Stabilization of cyclic processes by slowly varying forcing

AU - Newman, J.

AU - Lucas, M.

AU - Stefanovska, A.

PY - 2021/12/30

Y1 - 2021/12/30

N2 - We introduce a new mathematical framework for the qualitative analysis of dynamical stability, designed particularly for finite-time processes subject to slow-timescale external influences. In particular, our approach is to treat finite-time dynamical systems in terms of a slow-fast formalism in which the slow time only exists in a bounded interval, and consider stability in the singular limit. Applying this to one-dimensional phase dynamics, we provide stability definitions somewhat analogous to the classical infinite-time definitions associated with Aleksandr Lyapunov. With this, we mathematically formalize and generalize a phase-stabilization phenomenon previously described in the physics literature for which the classical stability definitions are inapplicable and instead our new framework is required.

AB - We introduce a new mathematical framework for the qualitative analysis of dynamical stability, designed particularly for finite-time processes subject to slow-timescale external influences. In particular, our approach is to treat finite-time dynamical systems in terms of a slow-fast formalism in which the slow time only exists in a bounded interval, and consider stability in the singular limit. Applying this to one-dimensional phase dynamics, we provide stability definitions somewhat analogous to the classical infinite-time definitions associated with Aleksandr Lyapunov. With this, we mathematically formalize and generalize a phase-stabilization phenomenon previously described in the physics literature for which the classical stability definitions are inapplicable and instead our new framework is required.

KW - article

KW - physics

KW - qualitative analysis

U2 - 10.1063/5.0066641

DO - 10.1063/5.0066641

M3 - Journal article

VL - 31

JO - Chaos

JF - Chaos

SN - 1089-7682

IS - 12

M1 - 123129

ER -