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http://hdl.handle.net/11701/41278
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Поле DC | Значение | Язык |
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dc.contributor.author | Kuznetsov, Alexander Petrovich | - |
dc.contributor.author | Sedova, Yuliya Viktorovna | - |
dc.contributor.author | Stankevich, Nataliya Vladimirovna | - |
dc.date.accessioned | 2023-04-11T09:58:33Z | - |
dc.date.available | 2023-04-11T09:58:33Z | - |
dc.date.issued | 2023-03 | - |
dc.identifier.other | https://doi.org/10.21638/11701/spbu35.2023.105 | - |
dc.identifier.uri | http://hdl.handle.net/11701/41278 | - |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | This work was supported by the Russian Science Foundation, project 21-12-00121,https://rscf.ru/en/project/21-12-00121/ | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Differential Equations and Control Processes;Issue 1 | - |
dc.subject | quasi-periodic oscillations | en_GB |
dc.subject | invariant tori | en_GB |
dc.subject | Lyapunov exponents | en_GB |
dc.subject | Arnold resonance web | en_GB |
dc.title | Dynamics of Three Coupled Generators of Quasi-periodic Oscillations | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 1 |
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54-77.pdf | 1,18 MB | Adobe PDF | Просмотреть/Открыть |
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