Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method

Automatica

Volumn 40, Issue 10, 2004, Pages 1677-1687

  Lü, Jinhu ^a   Han, Fengling ^b   Yu, Xinghuo ^b   Chen, Guanrong ^c  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b RMIT UNIVERSITY   (Australia)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Chaos generation; Hysteresis series; Multi scroll chaotic attractor; Switching control

Indexed keywords

AUTONOMOUS AGENTS; BIFURCATION (MATHEMATICS); CHAOS THEORY; ENGINEERING; HYSTERESIS; LINEAR SYSTEMS; MATHEMATICAL PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; NETWORKS (CIRCUITS); VOLTAGE CONTROL;

CHAOS GENERATION; HYSTERESIS SERIES; MULTI-SCROLL CHAOTIC ATTRACTORS; SWITCHING CONTROL;

SWITCHING;

EID: 3843074173     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2004.06.001     Document Type: Article

References (24)

1. Cafagna D., Grassi G. New 3D-scroll attractors in hyperchaotic Chua's circuit forming a ring. International Journal of Bifurcation and Chaos. 13(10):2003;2889-2903.
2. Chen, G. (Ed.) (1999). Controlling chaos and bifurcations in engineering systems. Boca Raton: CRC Press.
3. Chen G., Dong X. From chaos to order: Methodologies, perspectives and applications. 1998;World Scientific, Singapore.
4. Chen G., Lü J. Dynamics of the Lorenz system family: Analysis, control and synchronization. 2003;Science Press, Beijing. (in Chinese).
5. Elwakil A.S., Kennedy M.P. Systematic realization of a class of hysteresis chaotic oscillators. International Journal of Circuit Theory and Applications. 28(4):2000;319-334.
6. Elwakil A.S., Kennedy M.P. Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices. IEEE Transactions on Circuits and Systems, Part I. 48(3):2001;289-307.
7. Elwakil, A. S., Salama, K. N., & Kennedy, M. P. (2000). A system for chaos generation and its implementation in monolithic form. Proceedings of the IEEE symposium on circuits and systems, Geneva (pp. 217-220).
8. Han, F., Lü, J., Yu, X., Chen, G., & Feng, Y. (2004). A new systematic method for generating multi-scroll chaotic attractors from a linear second-order system with hysteresis. Accepted by Dynamics of Continuous, Discrete and Impulsive Systems, to appear.
9. Kataoka M., Saito T. A two-port VCCS chaotic oscillator and quad screw attractor. IEEE Transactions on Circuits and Systems, Part I. 48(2):2001;221-225.
10. Kennedy A.S., Kennedy M.P. Chaotic oscillators derived from Saito's double-screw hysteresis oscillator. IEICE Transactions on Fundamentals. E82:1999;1769-1775.
11. Lü J., Lu J., Chen S. Chaotic time series analysis and its applications. 2002;Wuhan University Press, China. (in Chinese).
12. Lü J., Zhou T., Chen G., Yang X. Generating chaos with a switching piecewise-linear controller. Chaos. 12(2):2002;344-349.
13. Lü J., Yu X., Chen G. Generating chaotic attractors with multiple merged basins of attraction. A switching piecewise-linear control approach IEEE Transactions on Circuits and Systems, Part I. 50(2):2003;198-207.
14. Nakagawa S., Saito T. An RC OTA hysteresis chaos generator. IEEE Transactions on Circuits and Systems, Part I. 43(12):1996;1019-1021.
15. Newcomb R.W., El-Leithy N. Chaos generation using binary hysteresis. Circuit System, Signal Processing. 5(3):1986;321-341.
16. Ozoguz S., Elwakil A.S., Salama K.N. N -scroll chaos generator using nonlinear transconductor Electronics Letters. 38(14):2002;685-686.
17. Saito T. An approach toward higher dimensional hysteresis chaos generators. IEEE Transactions on Circuits and Systems, Part I. 37(3):1990;399-409.
18. Saito T., Nakagawa S. Chaos from a hysteresis and switched circuit. Philosophical Transactions of The Royal Society of London Series A. 353:1995;47-57.
19. Storace M., Parodi M., Robatto D. A hysteresis-based chaotic circuit. Dynamics and applications International Journal of Circuit Theory and Applications. 27(6):1999;527-542.
20. Suykens J.A.K., Vandewalle J. Generation of. n -double scrolls (n = 1,2,3,4,...) IEEE Transactions on Circuits and Systems, Part I. 40(11):1993;861-867.
21. Tang K.S., Zhong G.Q., Chen G., Man K.F. Generation of. n -scroll attractors via sine function IEEE Transactions on Circuits and Systems, Part I. 48(11):2001;1369-1372.
22. Yalcin M.E., Ozoguz S., Suykens J.A.K., Vandewalle J. N -scroll chaos generators a simple circuit model Electronics Letters. 37(3):2001;147-148.
23. Yalcin M.E., Suykens J.A.K., Vandewalle J., Ozoguz S. Families of scroll grid attractors. International Journal of Bifurcation and Chaos. 12(1):2002;23-41.
24. Zhong G.Q., Man K.F., Chen G. A systematic approach to generating. n -scroll attractors International Journal of Bifurcation and Chaos. 12(12):2002;2907-2915