Tetrapterous butterfly attractors in modified Lorenz systems

Chaos, Solitons and Fractals

Volumn 41, Issue 4, 2009, Pages 1740-1749

  Yu, Simin ^a   Tang, Wallace K S ^b  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

PIECEWISE LINEAR TECHNIQUES;

BUTTERFLY ATTRACTORS; LORENZ MODEL; LORENZ SYSTEM; PIECE-WISE LINEAR FUNCTIONS;

DYNAMICAL SYSTEMS;

EID: 67349173611     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.07.023     Document Type: Article

References (18)

1. Ahmad W.M. Generation and control of multi-scroll chaotic attractors in fractional order systems. Chaos, Solitons & Fractals 25 3 (2005) 727-735
2. Celikovsky S., and Chen G.R. On the generalized Lorenz canonical form. Chaos, Solitons & Fractals 26 (2005) 1271-1276
3. Chen G.R., and Lü J.H. Dynamics of the Lorenz system family: analysis, control and synchronization (2003), Beijing Science Press
4. Chen G.R., and Ueta T. Yet another chaotic attractor. Int J Bifurcat Chaos 9 7 (1999) 1465-1466
5. Elwakil A.S., Özoguz S., and Kennedy M.P. Creation of a complex butterfly attractor using a novel Lorenz-type system. IEEE Trans Circ Syst I 49 4 (2002) 527-530
6. Lorenz E.N. Deterministic nonperiodic flow. J Atmos Sci 20 (1963) 130-141
7. Lü J.H., and Chen G.R. A new chaotic attractor coined. Int J Bifurcat Chaos 12 3 (2002) 659-661
8. Lü J.H., Yu S.M., Leung H., and Chen G.R. Experimental verification of multidirectional multiscroll Chaotic attractors. IEEE Trans Circ Syst I 53 1 (2006) 149-165
9. Miranda R., and Stone E. The proto-Lorenz system. Phys Lett A 178 (1993) 105-113
10. Özoguz S., Elwakil A.S., and Kennedy M.P. Experimental verification of the butterfly attractor in a modified Lorenz system. Int J Bifurcat Chaos 12 7 (2002) 1627-1632
11. Stewart I. The Lorenz attractor exists. Nature 406 (2002) 948-949
12. Tang K.S., Zhong G.Q., Chen G.R., and Man K.F. Generation of n-scroll attractors via sine function. IEEE Trans Circ Syst I 48 11 (2001) 1369-1372
13. Yalcin M.E. Multi-scroll and hypercube attractors from a general jerk circuit using Josephson junctions. Chaos, Solitons & Fractals 34 5 (2007) 1659-1666
14. Yalcin M.E., Suykens J.A.K., and Vandewalle J. Families of scroll grid attractors. Int J Bifurcat Chaos 12 1 (2002) 23-41
15. Yu S.M., Lü J.H., Leung H., and Chen G.R. Design and implementation of n-scroll chaotic attractors from a general jerk circuit. IEEE Trans Circ Syst I 52 7 (2005) 1459-1477
16. Yu S.M., Lü J.H., Tang K.S., and Chen G.R. A general multi-scroll Lorenz system family and its realization via digital signal processors. Chaos 16 3 (2006) 033126
17. Yu S.M., and Tang W.K.S. Generation of n × m-scroll attractors in a two-port RCL network with hysteresis circuits. Chaos, Solitons & Fractals 39 (2009) 821-830
18. Zhou T.S., Liao H.H., Zheng Z.H., and Tang Y. The complicated trajectory behaviors in the Lorenz system. Chaos, Solitons & Fractals 19 (2004) 863-873