Transformation of Master-Slave Systems with Harmonic Terms for Improved Stability in Numerical Continuation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00131237" target="_blank" >RIV/00216224:14310/23:00131237 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-031-27082-6_7" target="_blank" >https://doi.org/10.1007/978-3-031-27082-6_7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-27082-6_7" target="_blank" >10.1007/978-3-031-27082-6_7</a>
Alternative languages
Result language
angličtina
Original language name
Transformation of Master-Slave Systems with Harmonic Terms for Improved Stability in Numerical Continuation
Original language description
Nonlinear problems with forced oscillations occur in many applications in physics, neuroscience, epidemiology, or physiology. Forced oscillations are usually modeled as non-autonomous master-slave systems with harmonic driving. The aim of this work is to provide a transformation suitable for analyzing such systems via standard numerical continuation packages such as MATCONT and AUTO. We transform the original system into a structurally stable generalized system by replacing each harmonic term in the original system by a supercritical Hopf bifurcation normal form subsystem. Our method is general; being applicable to an important class of nonlinear equations in which the driving or coupling occurs via harmonic terms involving phases. Here we apply it to analyze the dynamics of a driven single Josephson junction, shunted by an inductor-resistor-capacitor resonant circuit.
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
10100 - Mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
15th Chaotic Modeling and Simulation International Conference
ISBN
9783031270819
ISSN
2213-8684
e-ISSN
2213-8692
Number of pages
13
Pages from-to
73-85
Publisher name
Springer
Place of publication
Cham (Switzerland)
Event location
Athens (Greece)
Event date
Jun 14, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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