Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00126265" target="_blank" >RIV/00216224:14310/22:00126265 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-96964-6_29" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-96964-6_29</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-96964-6_29" target="_blank" >10.1007/978-3-030-96964-6_29</a>
Alternative languages
Result language
angličtina
Original language name
Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View
Original language description
The contribution presents a bifurcation theory point of view to synchronization of a forced van der Pol oscillator, which is coupled to a master oscillator as a system with a stable limit cycle corresponding to harmonic oscillation. We present bifurcation manifolds, 3D sections of the phase space and its Poincaré sections for parameters close to these manifolds providing a clear visualization of the dynamics of the 4D system. Among other things, we present the coexistence of a stable torus and a stable cycle arising from q-fold bifurcation on an Arnold tongue.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
The 14th CHAOS 2021 International Conference
ISBN
9783030969639
ISSN
2213-8684
e-ISSN
2213-8692
Number of pages
10
Pages from-to
411-420
Publisher name
Springer
Place of publication
Cham
Event location
Athenes
Event date
Jun 8, 2021
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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