A chaotic dynamics of the vehicle on the plane
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The paper presents practically a question statement on the possibility of unpredictable behavior of the car. In the state space of the linearized model an untypical attractor is revealed. It is similar to the Lorenz strange attractor generating an irregular trajectory behavior. An opportunity of getting the complete conformity with the Lorenz system is shown. Thereby the analogous property for the linearized vehicle is proved. With the help of numerical simulations the existence of certain varieties in the state space of nonlinear car is established. Thus, the problem of studying the vehicle behavior, in fact, can be put into the same row with the problems of hydrodynamics, analysis of atmospheric phenomenons, magnetohydrodynamics of the Earth and so on. Some issues concerning control of the vehicle dynamics are outlined.
[1] E. Lorenz. Deterministic nonperiodic flow , 1963 .