The Nonlinear Behavior of Heavy-Duty Truck Combinations With Respect to Straightline Stability

1989 ◽  
Vol 111 (4) ◽  
pp. 577-582 ◽  
Author(s):  
A. Stribersky ◽  
P. S. Fancher

A comparison of the nonlinear stability behavior of the steady state straight line motion of truck combinations with and without a second trailer is shown. These investigations have been done by applying bifurcation theory. Stability boundaries in the parameter space and the corresponding bifurcation solutions are given. Depending on the loading conditions, unstable and also stable limit cycles have been found. Particular emphasis is given to the influence of the frictional coupling between tire and road on the nonlinear stability behavior of these vehicles.

2021 ◽  
Author(s):  
Yanggeng Fu ◽  
Jibin Li

Abstract In this paper, we study the bifurcations of invariant torus and knotted periodic orbits for generalized Hopf-Langford type equations. By using bifurcation theory of dynamical systems, we obtain the exact explicit form of the heteroclinic orbits and knot periodic orbits. Moreover, under small perturbation, we prove that the perturbed planar system has two symmetric stable limit cycles created by Poincare bifurcations. Therefore, the corresponding three-dimensional perturbed system has an attractive invariant rotation torus.


2008 ◽  
Vol 18 (05) ◽  
pp. 1477-1501 ◽  
Author(s):  
MINGSHU PENG ◽  
YUAN YUAN

In this paper, we use the standard bifurcation theory to study rich dynamics of time-delayed coupling discrete oscillators. Equivariant bifurcations including equivariant Neimark–Sacker bifurcation, equivariant pitchfork bifurcation and equivariant periodic doubling bifurcation are analyzed in detail. In the application, we consider a ring of identical discrete delayed Ikeda oscillators. Multiple oscillation patterns, such as multiple stable equilibria, stable limit cycles, stable invariant tori and multiple chaotic attractors, are shown.


2021 ◽  
Vol 41 ◽  
pp. 102985
Author(s):  
Beichen Ding ◽  
Benfei Wang ◽  
Ronghui Zhang

Author(s):  
Hao Sun ◽  
Jianlin Wei ◽  
Qingbo Liu ◽  
Dechun Liu ◽  
Yuanze Lin

2020 ◽  
Vol 2020 (0) ◽  
pp. J18107
Author(s):  
Tomoya ICHIHARA ◽  
Taichi SOENO ◽  
Toshiyuki SUGIMACHI ◽  
Toshiaki SAKURAI ◽  
Tetsuo MAKI

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