Hopf-friedrichs bifurcation and the hunting of a railway axle

R. R. Huilgol

doi:10.1090/qam/478858

Hopf-friedrichs bifurcation and the hunting of a railway axle

R. R. Huilgol

Research output: Contribution to journal › Article › peer-review

54 Citations (Scopus)

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.

Original language	English
Pages (from-to)	85-94
Number of pages	10
Journal	Quarterly of Applied Mathematics
Volume	36
Issue number	1
DOIs	https://doi.org/10.1090/qam/478858
Publication status	Published - Apr 1978

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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.",

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AB - 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.

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Hopf-friedrichs bifurcation and the hunting of a railway axle

Abstract

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