Period-Doubling Bifurcation and Non-Typical Route to Chaos of a Two-Degree-Of-Freedom Vibro-Impact System

[+] Author and Article Information
G. L. Wen, J. H. Xie

Department of Applied Mechanics and Engineering, Southwestern Jiaotong University, Chengdu 610031, P. R. China

J. Appl. Mech 68(4), 670-674 (Dec 05, 2000) (5 pages) doi:10.1115/1.1379035 History: Received April 02, 2000; Revised December 05, 2000
Copyright © 2001 by ASME
Topics: Bifurcation , Chaos , Motion
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Iooss, G., 1987, Forms normales d’applications: Caractérisation globale et méthode de calcul, Universite de Nice, Nice, France.
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Grahic Jump Location
v=0.75, stable period 2 fixed points
Grahic Jump Location
v=0.7554, stable period 4 fixed points
Grahic Jump Location
v=0.7563, four stable Hopf circles
Grahic Jump Location
v=0.75685, four stable 2T-torus
Grahic Jump Location
v=0.7515, stable period 2 fixed points
Grahic Jump Location
v=0.754, stable period 4 fixed points
Grahic Jump Location
v=0.7552, four stable Hopf circles
Grahic Jump Location
v=0.755965, phase locking




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