[Back]

A. Steindl, J. Edelmann, M. Plöchl:
"Limit cycles at oversteer vehicle";
Nonlinear Dynamics, 99 (2020), 1; 313 - 321.

Handling and stability properties of auto-
mobiles are most often studied from a practical point of
view by applying a reduced set of equations, where the
forward velocity is kept constant. At studying the full
set of equations of a basic nonlinear two-wheel vehicle
model, a supercritical Hopf bifurcation is found for an
oversteer vehicle. All state variables of the vehicle are
involved at small amplitude limit cycles in the vicinity
of the Hopf bifurcation point with the steering angle
(drive torque) as bifurcation parameter. At the tran-
sition to large amplitude relaxation cycles, the cyclic
motion of the vehicle may be separated into `slow´ lon-
gitudinal velocity-related segments, and `fast´ vehicle
yaw and side slip-related segments, indicating a singu-
lar perturbed system. Moreover, Canard phenomenon
is observed for both steering angle and drive torque
bifurcation parameters.

Vehicle dynamics · Oversteer vehicle · Hopf bifurcation · Singularly perturbed system · Canard phenomenon

http://dx.doi.org/10.1007/s11071-019-05081-8

https://link.springer.com/article/10.1007%2Fs11071-019-05081-8