Nonlinear Dynamics of a Road Vehicle Running into a Curve

  • Gianpiero MastinuEmail author
  • Fabio Della Rossa
  • Carlo Piccardi
Part of the Understanding Complex Systems book series (UCS)


In order to describe the stability of an automobile running either straight or into a curve, a linear mathematical model could be used to take into account the vast majority of actual situations occurring in everyday practice. There are however rare but important cases in which the dynamics of automobiles need to be described by non linear models. An important example is given by accident avoidance manoeuvres, in which a well designed vehicle can make the difference between a dramatic or an even unnoticed event. The aim of this chapter is to focus on the description of the non linear dynamic behavior of automobiles running either straight ahead or into bends on an even surface.


Hopf Bifurcation Stable Equilibrium Stable Manifold Bifurcation Analysis Stable Limit Cycle 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gianpiero Mastinu
    • 1
    Email author
  • Fabio Della Rossa
    • 2
  • Carlo Piccardi
    • 2
  1. 1.Dipartimento di MeccanicaPolitecnico di MilanoMilanoItaly
  2. 2.Dipartimento di Elettronica e InformazionePolitecnico di MilanoMilanoItaly

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