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Stability and bifurcation phenomena in asymptotically Hamiltonian systems. / Sultanov, Oskar A.

в: Nonlinearity, Том 35, № 5, 05.05.2022, стр. 2513-2534.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Sultanov, OA 2022, 'Stability and bifurcation phenomena in asymptotically Hamiltonian systems', Nonlinearity, Том. 35, № 5, стр. 2513-2534. https://doi.org/10.1088/1361-6544/ac6372

APA

Sultanov, O. A. (2022). Stability and bifurcation phenomena in asymptotically Hamiltonian systems. Nonlinearity, 35(5), 2513-2534. https://doi.org/10.1088/1361-6544/ac6372

Vancouver

Sultanov OA. Stability and bifurcation phenomena in asymptotically Hamiltonian systems. Nonlinearity. 2022 Май 5;35(5):2513-2534. https://doi.org/10.1088/1361-6544/ac6372

Author

Sultanov, Oskar A. / Stability and bifurcation phenomena in asymptotically Hamiltonian systems. в: Nonlinearity. 2022 ; Том 35, № 5. стр. 2513-2534.

BibTeX

@article{e08a82c9180c4d3387a27bb300ac1178,
title = "Stability and bifurcation phenomena in asymptotically Hamiltonian systems",
abstract = "The influence of time-dependent perturbations on an autonomous Hamiltonian system with an equilibrium of center type is considered. It is assumed that the perturbations decay at infinity in time and vanish at the equilibrium. In this case the stability and the long-term behaviour of trajectories depend on nonlinear and non-autonomous terms of equations. The paper investigates bifurcations associated with a change of Lyapunov stability of the equilibrium and the emergence of new attracting or repelling states in the perturbed non-autonomous system. The dependence of bifurcations on the structure of perturbations is discussed.",
keywords = "34C23, 34D10, 34D20, 37J65, asymptotics, bifurcation, Lyapunov function, non-autonomous systems, stability",
author = "Sultanov, {Oskar A.}",
year = "2022",
month = may,
day = "5",
doi = "10.1088/1361-6544/ac6372",
language = "English",
volume = "35",
pages = "2513--2534",
journal = "Nonlinearity",
issn = "0951-7715",
publisher = "IOP Publishing Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - Stability and bifurcation phenomena in asymptotically Hamiltonian systems

AU - Sultanov, Oskar A.

PY - 2022/5/5

Y1 - 2022/5/5

N2 - The influence of time-dependent perturbations on an autonomous Hamiltonian system with an equilibrium of center type is considered. It is assumed that the perturbations decay at infinity in time and vanish at the equilibrium. In this case the stability and the long-term behaviour of trajectories depend on nonlinear and non-autonomous terms of equations. The paper investigates bifurcations associated with a change of Lyapunov stability of the equilibrium and the emergence of new attracting or repelling states in the perturbed non-autonomous system. The dependence of bifurcations on the structure of perturbations is discussed.

AB - The influence of time-dependent perturbations on an autonomous Hamiltonian system with an equilibrium of center type is considered. It is assumed that the perturbations decay at infinity in time and vanish at the equilibrium. In this case the stability and the long-term behaviour of trajectories depend on nonlinear and non-autonomous terms of equations. The paper investigates bifurcations associated with a change of Lyapunov stability of the equilibrium and the emergence of new attracting or repelling states in the perturbed non-autonomous system. The dependence of bifurcations on the structure of perturbations is discussed.

KW - 34C23

KW - 34D10

KW - 34D20

KW - 37J65

KW - asymptotics

KW - bifurcation

KW - Lyapunov function

KW - non-autonomous systems

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85129672657&partnerID=8YFLogxK

U2 - 10.1088/1361-6544/ac6372

DO - 10.1088/1361-6544/ac6372

M3 - Article

AN - SCOPUS:85129672657

VL - 35

SP - 2513

EP - 2534

JO - Nonlinearity

JF - Nonlinearity

SN - 0951-7715

IS - 5

ER -

ID: 126272295