Dynamic analysis of the fractional order Newton-Leipnik system

Wuli Xuebao/Acta Physica Sinica

Volumn 59, Issue 3, 2010, Pages 1583-1592

  Wang, Ming Jun ^a   Wang, Xing Yuan ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Double attractors; Fractional order; Newton Leipnik system

Indexed keywords

EID: 77951475682     PISSN: 10003290     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Podlubny I 1999 Fractional differential equations (New York: Academic Press).
2. Hilfer R 2001 Applications of fractional calculus in physics (New Jersey: World Scientific).
3. Bagley R L, Calico R A 1991 J. Guid. Control Dynam. 14 304.
4. Koeller R C 1984 J. Appl. Mech. 51 294.
5. Koeller R C 1986 Acta Mechanica 58 251.
6. Heaviside O 1971 Electromagnetic theory (New York: Chelsea).
7. Grigorenko I, Grigorenko E 2003 Phys. Rev. Lett. 91 034101.
8. Gao X, Yu J B 2005 Chaos, Solitons Fract. 24 1097.
9. Li C G, Chen G 2004 Chaos, Solitons Fract. 22 549.
10. Li C P, Peng G J 2004 Chaos, Solitons Fract. 22 443.
11. Gao X, Yu J B 2005 Chin. Phys. 14 908.
12. Wang F Q, Liu C X 2006 Acta Phys. Sin. 55 3922 (in Chinese).
13. Liu C X 2007 Acta Phys. Sin. 56 6865 (in Chinese).
14. Chen X R, Liu C X, Wang F Q, Li Y X 2008 Acta Phys. Sin. 57 1416 (in Chinese).
15. Zhang R X, Yang S P 2009 Acta Phys. Sin. 58 2957 (in Chinese).
16. Leipnik R B, Newton T A 1981 Phys. Lett. A 86 63.
17. Caputo M 1967 Goephys. J. R. Atr. Soc. 13 529.
18. Matignon D 1996 Computational Eng. in Sys. Appl. 12 963.
19. Feigenbaum M J 1978 J. Stat. Phys. 19 25.
20. Alexander J 1988 Dynamical systems (New York: Springer).
21. Kan I, Kocak H, Yorke J 1992 Annals Math. 136 219.
22. Dafilis M P, Bourke P D, Liley D T J, Cadusch P J 2002 Comput. Graph. 26 971.
23. Wang X Y, Luo C 2006 Appl. Math. Comput. 183 30.
24. Wang X Y 2003 Chaos in the Complex Nonlinearity System (Beijing: Electronics Industry Press) (in Chinese).
25. Kuruvilla T, Nandakumaran V M 1999 Phys. Lett. A 254 59.
26. Sheu L J, Chen H K, Chen J H, Tam L M, Chen W C, Lin K T, Kang Y 2008 Chaos, Solitons Fract. 36 98.