title: Dynamics of Three Coupled Generators of Quasi-periodic Oscillations
metadata.name: dc.contributor.author
metadata.value: Kuznetsov, Alexander Petrovich
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Sedova, Yuliya Viktorovna
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Stankevich, Nataliya Vladimirovna
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-04-11T09:58:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-04-11T09:58:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.105
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41278
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The dynamics of three coupled generators capable of demonstrating autonomous quasi-periodic oscillations is studied. The complex structure of the Lyapunov charts of the system is discussed, which reveals invariant tori of different dimensions, quasi-periodic bifurcations of tori, and Arnold’s resonant web based on tori of different dimensions. Cases of different types of tuning of individual generators (periodic oscillations, quasi-periodic oscillations) are considered. A detailed numerical bifurcation analysis of the equilibrium state and limit cycles, which form a complex picture of dynamic regimes, is carried out.Common features and differences compared to the case of three coupled van der Pol oscillators are discussed.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science
  Foundation, project 21-12-00121,https://rscf.ru/en/project/21-12-00121/
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: quasi-periodic oscillations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: invariant tori
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov exponents
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Arnold resonance web
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Dynamics of Three Coupled Generators of Quasi-periodic Oscillations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 54-77.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41278/1/54-77.pdf
resources.format: Adobe PDF
resources.size: 1,18 MB