HOPF-FRIEDRICHS BIFURCATION AND HUNTING OF A RAILWAY AXLE

被引：44

作者：

HUILGOL, RR

机构：

[1] The Flinders University of South Australia, Bedford Park,SA,5042, Australia

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1978年 / 36卷 / 01期

关键词：

Bifurcation theory - Equilibrium positions - First order nonlinear differential equations - Periodic orbits - Railway axles - Yaw motions;

D O I：

10.1090/qam/478858

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：85 / 94

页数：10

共 10 条

[1] SOME ASPECTS OF HUNTING OF A RAILWAY AXLE [J].

BRANN, RP .

JOURNAL OF SOUND AND VIBRATION, 1966, 4 (01) :18-&

[2] On the action of a locomotive driving wheel. [J].

Carter, FW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1926, 112 (760) :151-157

[3]

CARTER FW, 1922, RAILWAY ELECTRIC TRA

[4]

Cesari L., 1964, MICH MATH J, V11, P385

[5]

Friedrichs K. O., 1965, ADV ORDINARY DIFFERE

[6]

HALE JK, 1971, APPLICATIONS ALTERNA

[7]

Hopf E., 1942, BER SACHS AKAD WI MP, V94, P1

[8]

KALKER JJ, 1977, Z ANGEW MATH MECH, V57, pT3

[9]

Marsden JE, 2012, SPRINGER SCI BUSINES, DOI DOI 10.1137/1020063

[10]

POORE AB, 1976, ARCH RATION MECH AN, V60, P371

← 1 →