SYMMETRY, GENERIC BIFURCATIONS, AND MODE INTERACTION IN NONLINEAR RAILWAY DYNAMICS-Reference-Cited by-同舟云学术

SYMMETRY, GENERIC BIFURCATIONS, AND MODE INTERACTION IN NONLINEAR RAILWAY DYNAMICS

Published:1999-07 Issue:07 Volume:09 Page:1321-1331
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

JENSEN CARSTEN NORDSTRØM¹,GOLUBITSKY MARTIN²,TRUE HANS³

Affiliation:

1. ES-Consult Ltd, Staktoften 20, DK-2950 Vedbæk, Denmark

2. Department of Mathematics, University of Houston, TX 77204-3476, USA

3. The Technical University of Denmark, Department of Mathematical Modelling, Building 321, DK-2800 Lyngby, Denmark

Abstract

We investigate Cooperrider's complex bogie, a mathematical model of a railway bogie running on an ideal straight track. The speed of the bogie v is the control parameter. Taking symmetry into account, we find that the generic bifurcations from a symmetric periodic solution of the model are Hopf bifurcations for maps (or Neimark bifurcations), saddle-node bifurcations, and pitchfork bifurcations. The last ones are symmetry-breaking bifurcations. By variation of an additional parameter, bifurcations of higher degeneracy are possible. In particular, we consider mode interactions near a degenerate bifurcation. The bifurcation analysis and path-finding are done numerically.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127499000924

Reference7 articles.

1. The Hunting Behavior of Conventional Railway Trucks

2. Classification of Z(2)-Equivariant Imperfect Bifurcations with Corank 2

3. Optimal Axle Distance of a Railway Bogie

4. Suppression of Period Doubling in Symmetric Systems

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