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Localization and dimension estimation of attractors in the Glukhovsky-Dolzhansky system
Published inJyväskylä studies in computing
PublisherUniversity of Jyväskylä
ISSN Search the Publication Forum1456-5390
MetadataShow full item record
- Väitöskirjat 
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The Lorenz system : hidden boundary of practical stability and the Lyapunov dimension Kuznetsov, N. V.; Mokaev, T. N.; Kuznetsova, O. A.; Kudryashova, E. V. (Springer, 2020)On the example of the famous Lorenz system, the difficulties and opportunities of reliable numerical analysis of chaotic dynamical systems are discussed in this article. For the Lorenz system, the boundaries of global ...
Numerical analysis of dynamical systems : unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension Kuznetsov, Nikolay; Mokaev, Timur (IOP Publishing, 2019)In this article, on the example of the known low-order dynamical models, namely Lorenz, Rössler and Vallis systems, the difficulties of reliable numerical analysis of chaotic dynamical systems are discussed. For the Lorenz ...
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Hidden attractors in Chua circuit : mathematical theory meets physical experiments Kuznetsov, Nikolay; Mokaev, Timur; Ponomarenko, Vladimir; Seleznev, Evgeniy; Stankevich, Nataliya; Chua, Leon (Springer Science and Business Media LLC, 2023)After the discovery in early 1960s by E. Lorenz and Y. Ueda of the first example of a chaotic attractor in numerical simulation of a real physical process, a new scientific direction of analysis of chaotic behavior in ...