A topological horseshoe in the hyperchaotic Rössler attractor

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 17, 2008, Pages 2989-2994

  Li, Qingdu ^a  

^a CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Chaos; Hyperchaos; Hyperchaotic R ssler attractor; Topological horseshoe

Indexed keywords

CHAOS THEORY;

COMPUTER-ASSISTED VERIFICATION; HYPERCHAOS; HYPERCHAOTIC; HYPERCHAOTIC MAPS; TOPOLOGICAL HORSESHOES; TWO-DIRECTIONAL;

TOPOLOGY;

EID: 41349088390     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.11.071     Document Type: Article

References (28)

1. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos (1990), Springer-Verlag, New York
2. Szymczak A. Topology 35 2 (1996) 287
3. Kennedy J., and Yorke J.A. Trans. Am. Math. Soc. 353 6 (2001) 2513
4. Zgliczyński P., and Gidea M. J. Differential Equations 202 1 (2004) 33
5. Yang X.-S., and Tang Y. Chaos Solitons Fractals 19 4 (2004) 841
6. Yang X.-S. Chaos Solitons Fractals 20 (2004) 1149
7. Yang X.-S. Chaos Solitons Fractals 33 1 (2007) 225
8. Yang X.-S., Li H., and Huang Y. J. Phys. A: Math. Gen. 38 (2005) 4175
9. Rössler O.E. Phys. Lett. A 60 5 (1977) 392
10. Zgliczyński P. Nonlinearity 10 (1997) 243
11. Yang X.-S., Yu Y., and Zhang S. Chaos Solitons Fractals 18 (2003) 223
12. Yang X.-S., and Li Q. Int. J. Bifur. Chaos 15 5 (2005) 1823
13. Yang X.-S., and Yang F. Chaos Solitons Fractals 20 2 (2004) 587
14. Yang X.-S., Tang Y., and Li Q. Chaos Solitons Fractals 21 5 (2004) 1087
15. Huang Y., and Yang X.-S. J. Math. Chem. 38 1 (2005) 1823
16. Yang X.-S., and Li Q. Int. J. Bifur. Chaos 14 5 (2004) 1847
17. Yang X.-S., and Tang Y. Chaos Solitons Fractals 23 (2005) 87
18. Yang X.-S., and Li Q. Chaos Solitons Fractals 27 (2006) 25
19. Yang X.-S., and Li Q. Int. J. Bifur. Chaos 16 1 (2006) 131
20. Matsumoto T., Chua L.O., and Kobayashi K. IEEE Trans. Circuits Syst. 33 11 (1986) 1143
21. Udaltsov V.S., Goedgbuer J.-P., Larger L., and Rhodes W.T. Phys. Rev. Lett. 86 9 (2001) 1892
22. Li Q., Yang X.-S., and Yang F. Neurocomputing 67 (2005) 275
23. Yang L., Liu Z., and Mao J.-m. Phys. Rev. Lett. 84 1-3 (2000) 67
24. Grassi G., and Mascolo S. Electron. Lett. 34 5 (1998) 424
25. Miller D.A., and Grassi G. IEEE Trans. Circuits Syst. Fund. Theor. Appl. 48 3 (2001) 366
26. Rössler O.E. Phys. Lett. A 71 2-3 (1979) 155
27. Heath M.T. Scientific Computing, an Introductory Survey. second ed. (2002), McGraw-Hill, New York
28. Guckenheimer J., and Oliva R.A. Siam J. Appl. Dyn. Syst. 1 1 (2002) 105