Period-doubling bifurcations and routes to chaos of the vibratory systems contacting stops

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

Volumn 323, Issue 3-4, 2004, Pages 210-217

  Luo, G W ^a  

^a LANZHOU JIAOTONG UNIVERSITY   (China)

Author keywords

Bifurcation; Chaos; Impacting vibration; Map; Periodic motion; Singularity

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DEGREES OF FREEDOM (MECHANICS); MAPS; VIBRATORS;

IMPACTING VIBRATION; PERIOD DOUBLING BIFURCATION; PERIOD DOUBLING CASCADE; PERIOD DOUBLING ROUTE TO CHAOS; PERIODIC MOTION; PITCH-FORK BIFURCATIONS; SINGULARITY; TWO-DEGREE-OF-FREEDOM SYSTEM;

HOPF BIFURCATION;

ARTICLE; CHAOTIC DYNAMICS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; VIBRATION;

EID: 1542345659     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.01.071     Document Type: Article

References (25)

1. Holmes P.J. J. Sound Vib. 84:1982;173.
2. Shaw S.W., Holmes P.J. J. Sound Vib. 90:1983;129.
3. Shaw S.W. J. Appl. Mech. 52:1985;453.
4. Whiston G.S. J. Sound Vib. 118:1987;395.
5. Cone K.M., Zadoks R.I. J. Sound Vib. 188:1995;659.
6. Yim C.S., Lin H. J. Eng. Mech. 117:1991;2079.
7. Peterka F. J. Sound Vib. 165:1993;369.
8. Aidanpää J.O., Gupta R.B. J. Sound Vib. 165:1993;305.
9. Peterka F. Chaos Solitons Fractals. 7:1996;1635.
10. Peterka F. J. Sound Vib. 154:1992;95.
11. Peterka F., Kotera T. Machines Vibration. vol. 5:1996;71.
12. Peterka F. IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. 1999;283 Kluwer Academic, Dordrecht.
13. Peterka F. Encyclopedia of Vibration. vol. 3:1991;1531 Academic Press, London.
14. Nordmark A.B. J. Sound Vib. 145:1991;279.
15. Whiston G.S. J. Sound Vib. 152:1992;427.
16. Foale S., Bishop S.R. Philos. Trans. R. Soc. London. 338:1992;547.
17. Ivanov A.P. J. Sound Vib. 162:1994;562.
18. Ivanov A.P. Chaos Solitons Fractals. 7:1996;1615.
19. Budd C., Dux F., Cliffe A. J. Sound Vib. 184:1995;475.
20. Feigin M.I. J. Appl. Math. Mech. 59:1995;853.
21. Bernardo D., Feigen M.I., Hogan S.J., Homer M.E. Chaos Solitons Fractals. 10:1999;1881.
22. Natsiavas S. J. Sound Vib. 165:1993;439.
23. Chatterjee S., Mallik A.K. J. Sound Vib. 191:1996;539.
24. Luo G.W., Xie J.H. Int. J. Non-Linear Mech. 37:2002;19.
25. G.W. Luo, Doctor's degree dissertation, Southwest Jiaotong University, 1998.