Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Hopf-Friedrichs bifurcation and the hunting of a railway axle


Author: R. R. Huilgol
Journal: Quart. Appl. Math. 36 (1978), 85-94
MSC: Primary 70.34; Secondary 34CXX
DOI: https://doi.org/10.1090/qam/478858
MathSciNet review: 478858
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Abstract: After deriving the equations of motion which govern the lateral and yaw motions of a railway axle, these are cast in the form of a system of first-order nonlinear differential equations. To this system the Hopf-Friedrichs bifurcation theory is applied to determine when a periodic orbit will bifurcate from the equilibrium position. Sufficient conditions to guarantee the stability of the orbit are investigated.


References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/478858
Article copyright: © Copyright 1978 American Mathematical Society

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