This paper investigates the global stability behavior present near a bifurcation point of a nonlinear road vehicle system. The nonlinear behavior of the system is determined by reducing its dimensions according to the center manifold theory applied to a nongeneric case. A generalized Hopf bifurcation is analyzed by unfolding the limit cycle mean amplitude equation into a two-parameter space. The numerical application of the analytical framework demonstrates the coexistence of two limit cycles for certain ranges of physical and driver parameter values.

Issue Section:
Research Papers
Keywords:
bifurcation, closed loop systems, nonlinear control systems, road vehicles, stability, vehicle dynamics, bifurcation analysis, closed loop system, codimension 2, vehicle dynamics, stability
Topics:
Bifurcation, Motor vehicles, Stability, Manifolds, Vehicles
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