Analytical-numerical method for attractor localization of generalized Chua's system

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 43, Issue 11 PART 1, 2010, Pages 29-33

  Kuznetsov, N V ^a   Leonov, G A ^a   Vagaitsev, V I ^a  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Chaotic attractor; Chua's circuits; Chua's system; Describing function method; Harmonic balance; Harmonic linearization; Hidden attractor localization; Hidden oscillations

Indexed keywords

BIFURCATION (MATHEMATICS); CONTROL SYSTEM ANALYSIS; HARMONIC ANALYSIS; LINEARIZATION;

CHAOTIC ATTRACTORS; CHUA'S CIRCUIT; CHUA'S SYSTEM; DESCRIBING FUNCTION METHODS; HARMONIC BALANCE; HARMONIC LINEARIZATION; HIDDEN ATTRACTOR LOCALIZATION; HIDDEN OSCILLATIONS;

NUMERICAL METHODS;

EID: 84864290705     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20100826-3-tr-4016.00009     Document Type: Conference Paper

References (14)

1. R. Barboza, L.O. Chua. The Four-Element Chuas Circuit. International Journal of Bifurcation and Chaos, Vol. 18, No. 4, 943-955, 2008.
2. E. Bilotta, P. Pantano. A gallery of Chua attractors World scientific series on nonlinearscience. Series A. Vol. 61, 2008.
3. G. Chen, T. Ueta. Chaos in Circuits and Systems World scientific series on nonlinear science. Series B. Vol. 11, 2002.
4. L.O. Chua, G.-N. Lin. Canonical Realization of Chua's Circuit Family IEEE Transactions on Circuits and Systems, Vol. 37, No.4, 885-902, 1990.
5. L. O. Chua. The Genesis of Chua's Circuit. Archiv fur Elektronik und Ubertragungstechnik, 46, 250-257, 1992a.
6. L.O. Chua. A Zoo of Strange Attractors from the Canonical Chua's Circuits Proceedings of the 35th Midwest Symposium on Circuits and Systems, IEEE, Vol.2, 916- 926, 1992b.
7. H.K. Khalil. Nonlinear Systems. Prentice Hall, New Jersey, 2002.
8. G.A. Leonov, V.O. Bragin, N.V. Kuznetsov. Algorithm for Constructing Counterexamples to the Kalman Problem. Doklady Mathematics, Vol. 82, No. 1, 2010.
9. G.A. Leonov, V.I. Vagaitsev, N.V. Kuznetsov. Algorithm for localizing Chua attractors based on the harmonic linearization method. Doklady Mathematics, Vol. 82, No. 1, 2010.
10. G.A. Leonov. On harmonic linearization method. Doklady Akademii Nauk. Physcis, 424(4), 462-464, 2009.
11. G.A. Leonov. Effective methods for periodic oscillations search in dynamical systems. App. math. & mech., Vol. 74, Iss. 1, 37-73, 2010.
12. T. Matsumoto. A Chaotic Attractor from Chuas Circuit IEEE Transactions on Circuits and Systems, Vol. CAS- 31. No.12, 1055-1058, 1984.
13. F.A. Savaci, S. Gunel. Harmonic Balance Analysis of the Generalized Chua's Circuit. International Journal of Bifurcation and Chaos, Vol. 16, No. 8, 2325-2332, 2006.
14. J.A.K. Suykens, A. Huang, L.O. Chua. A Family of n-scroll Attractors from a Generalized Chuas Circuit AEU-International Journal of Electronics & Communications, Vol. 51, No. 3, 131-138, 1997.