Transformation of Master-Slave Systems with Harmonic Terms for Improved Stability in Numerical Continuation

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Transformation of Master-Slave Systems with Harmonic Terms for Improved Stability in Numerical Continuation

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Transformation of Master-Slave Systems with Harmonic Terms for Improved Stability in Numerical Continuation

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

15th Chaotic Modeling and Simulation International Conference

ISBN

9783031270819

ISSN

2213-8684

e-ISSN

2213-8692

Počet stran výsledku

13

Strana od-do

73-85

Název nakladatele

Springer

Místo vydání

Cham (Switzerland)

Místo konání akce

Athens (Greece)

Datum konání akce

14. 6. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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