Showing items with similar title or keywords.

• 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 ...

• 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 ...

• 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 ...

• Attractor as a convex combination of a set of attractors 

  Danca, Marius-F.; Fĕckan, Michal; Kuznetsov, Nikolay; Chen, Guanrong (Elsevier, 2021)

  This paper presents an effective approach to constructing numerical attractors of a general class of continuous homogenous dynamical systems: decomposing an attractor as a convex combination of a set of other existing ...