Hidden attractor in the Rabinovich system, Chua circuits and PLL

作者: N. V. Kuznetsov , G. A. Leonov , T. N. Mokaev , S. M. Seledzhi

DOI: 10.1063/1.4951991

关键词:

摘要: In this report the existence of hidden attractors in Rabinovich system, phase-locked loop and coupled Chua circuits is considered. It shown that may complicate analysis systems significantly affect synchronization.

参考文章(28)
G.A. Leonov, N.V. Kuznetsov, T.N. Mokaev, Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity Communications in Nonlinear Science and Numerical Simulation. ,vol. 28, pp. 166- 174 ,(2015) , 10.1016/J.CNSNS.2015.04.007
Vladimir A. Boichenko, Gennadij A. Leonov, Volker Reitmann, Dimension theory for ordinary differential equations Teubner. ,(2005) , 10.1007/978-3-322-80055-8
Tomasz Kapitaniak, Chaotic Oscillators cota. ,(1992) , 10.1142/1402
P. Saha, D. C. Saha, A. Ray, A. R. Chowdhury, Memristive non-linear system and hidden attractor European Physical Journal-special Topics. ,vol. 224, pp. 1563- 1574 ,(2015) , 10.1140/EPJST/E2015-02480-1
V. Semenov, I. Korneev, P. Arinushkin, G. Strelkova, T. Vadivasova, V. Anishchenko, Numerical and experimental studies of attractors in memristor-based Chua’s oscillator with a line of equilibria. Noise-induced effects European Physical Journal-special Topics. ,vol. 224, pp. 1553- 1561 ,(2015) , 10.1140/EPJST/E2015-02479-6
S. Vaidyanathan, V.-T. Pham, C. K. Volos, A 5-D hyperchaotic Rikitake dynamo system with hidden attractors European Physical Journal-special Topics. ,vol. 224, pp. 1575- 1592 ,(2015) , 10.1140/EPJST/E2015-02481-0
S. Brezetskyi, D. Dudkowski, T. Kapitaniak, Rare and hidden attractors in Van der Pol-Duffing oscillators European Physical Journal-special Topics. ,vol. 224, pp. 1459- 1467 ,(2015) , 10.1140/EPJST/E2015-02471-2
J. C. Sprott, Strange attractors with various equilibrium types European Physical Journal-special Topics. ,vol. 224, pp. 1409- 1419 ,(2015) , 10.1140/EPJST/E2015-02469-8
S. Jafari, J. C. Sprott, F. Nazarimehr, Recent new examples of hidden attractors European Physical Journal-special Topics. ,vol. 224, pp. 1469- 1476 ,(2015) , 10.1140/EPJST/E2015-02472-1
C. Li, W. Hu, J. C. Sprott, X. Wang, Multistability in symmetric chaotic systems European Physical Journal-special Topics. ,vol. 224, pp. 1493- 1506 ,(2015) , 10.1140/EPJST/E2015-02475-X