Analytical-numerical methods for finding hidden oscillations in dynamical systems
Publisher
University of JyväskyläISBN
978-951-39-4985-3ISSN Search the Publication Forum
1456-5390Keywords
Metadata
Show full item recordCollections
- Väitöskirjat [3580]
License
Related items
Showing items with similar title or keywords.
-
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 ... -
Hidden attractors and multistability in a modified Chua’s circuit
Wang, Ning; Zhang, Guoshan; Kuznetsov, Nikolay; Bao, Han (Elsevier BV, 2021)The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes ... -
Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system
Danca, Marius-F.; Fečkan, Michal; Kuznetsov, Nikolay; Chen, Guanrong (Springer, 2018) -
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 ... -
Hidden Strange Nonchaotic Attractors
Danca, Marius-F.; Kuznetsov, Nikolay (MDPI AG, 2021)In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the ...