Stability of limit cycles in autonomous nonlinear systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F14%3A00426389" target="_blank" >RIV/68378297:_____/14:00426389 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s11012-014-9899-8" target="_blank" >http://link.springer.com/article/10.1007/s11012-014-9899-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11012-014-9899-8" target="_blank" >10.1007/s11012-014-9899-8</a>

Result language
angličtina
Original language name
Stability of limit cycles in autonomous nonlinear systems
Original language description
Periodical solutions or limit cycles (LC) comprise a significant family among the response types of nonlinear autonomous systems. Their identification and stability assessment is of a great importance during the analysis of an unknown system. A new analytical/iterative method of LC identification and portrait investigation was presented recently. The current study proposes a novel technique for their stability assessment. This strategy facilitates the distinction of stable and unstable LCs, thereby allowing the definition of attractive and repulsive response fields. A narrow toroidal domain is constructed around the LC, which is arithmetized by an orthogonal system that is positioned by tangential and normal vectors to the LC. The stability of the LC is investigated using the transformed differential system of the normal components of the response, which are functions of the coordinate along the LC trajectory. Exponential LC stability criteria are also proposed, which are based on the
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JM - Structural engineering
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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