Phase-Locked Mode Stability for Coupled van der Pol Oscillators

[+] Author and Article Information
Duane W. Storti, Per G. Reinhall

Department of Mechanical Engineering, University of Washington, Seattle, WA 98195-2600 (206)543-2956, FAX (206)685-8047

J. Vib. Acoust 122(3), 318-323 (Nov 01, 1999) (6 pages) doi:10.1115/1.1302314 History: Received November 01, 1999
Copyright © 2000 by ASME
Topics: Stability , Equations , Cycles
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Grahic Jump Location
Numerically determined transition curves above which the in-phase mode is stable for: (a) ε=0.4, (b) ε=0.7, (c) ε=1.0, (d) ε=2.0
Grahic Jump Location
Visualization of the stability boundaries for the in-phase mode in the (A,B,ρ) parameter space, where ρ=ε/(1+ε), including A=−12,B=Bzmd,Dodd=0, and Deven=0. Curves shown represent stability transition curves determined numerically for ε=0.4, 0.7, 1.0, 2.0, and 5.0.




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