Dynamical behaviors of a chaotic system with no equilibria

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

Volumn 376, Issue 2, 2011, Pages 102-108

  Wei, Zhouchao ^a  

^a SOUTH CENTRAL UNIVERSITY FOR NATIONALITIES   (China)

Author keywords

Bifurcation diagram; Chaotic attractors; No equilibria; Period doubling cascade; Sprott D system

Indexed keywords

EID: 81255151140     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2011.10.040     Document Type: Article

References (17)

1. E.N. Lorenz J. Atmos. Sci. 20 1963 130
2. O.E. Rössler Phys. Lett. A 57 1976 397
3. G.R. Chen, and T. Ueta Int. J. Bifur. Chaos 9 1999 1465
4. J.H. Lü, and G.R. Chen Int. J. Bifur. Chaos 12 2002 659
5. J.C. Sprott Phys. Rev. E 50 1994 647
6. C.P. Silva IEEE Trans. Circ. Syst. I 40 1993 657
7. Q.G. Yang, Z.C. Wei, and G.R. Chen Int. J. Bifur. Chaos 20 2010 1061
8. Q.G. Yang, and G.R. Chen Int. J. Bifur. Chaos 18 2008 1393
9. X. Wang, and G.R. Chen Commun. Nonlinear Sci. Numer. Simulat. 17 2012 1264
10. V.M. Falkner, and S.W. Skan Philosophical Magazine 7 1931 865
11. Y.A. Kuznetsov Elements of Applied Bifurcation Theory second ed. 1998 Springer New York
12. Z.T. Hou, N. Kang, X.X. Kong, G.R. Chen, and G.J. Yan Int. J. Bifur. Chaos 20 2010 557
13. H. Poincaré Acta Mathematica 13 1890 1
14. I. Bendixson Acta Mathematica 24 1901 1
15. S. Barnett Polynomials and Linear Control Systems 1983 Marcel Dekker, Inc. New York
16. M.J. Feigenbaum Physica D 7 1983 16
17. M.P. Haniasa, Z. Avgerinos, and G.S. Tombras Chaos Solitons Fractals 40 2009 1050