References
N. N. Bautin, Behavior of Dynamic Systems near the Boundary of the Stability Region [in Russian], Nauka, Moscow (1984).
V. G. Verbitskii and L. G. Lobas, “Bifurcations of stationary states in systems with rolling in the case of constant force disturbances”, Prikl. Matem. Mekh.,58, No. 5, 165–170 (1994).
L. G. Lobas and V. G. Verbitskii, Qualitative and Analytic Methods in the Dynamics of Wheeled Vehicles [in Russian], Nauk. Dumka, Kiev (1990).
A. M. Lyapunov, Collected Works, 3 vols. [in Russian], Izd-vo Akad. Nauk SSSR, Moscow (1956), Vol. 2.
Ya. M. Pevsner, Theory of Stability of Automobiles [in Russian], Mashgiz, Moscow (1947).
I. Rokar, Instability in Mechanics. Automobiles. Aircraft. Suspension Bridges [Russian translation], Izd-vo Inostr. Lit., Moscow (1959).
T. R. Kane and G. K. Man, “The importance of slip law nonlinearity in the theory of steady turning of automobiles”, Mech. Res. Communs.,4, No. 5, 315–320 (1977).
H. B. Pacejka, Tyre Factors and Vehicle Handling, Delft University of Technology, No. 108 (1978).
Y. Shirohara, “A geometric method for the numerical solution of non-linear equations and its application to non-linear oscillations”, Publ. RJMS,8, No. 1, 13–42 (Kyoto University, 1972).
H. Troger and H. Steindl, Nonlinear Stability and Bifurcation Theory, Springer-Verlag, Wien-New York (1991).
Additional information
S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 30, No. 12, pp. 86–93, December, 1994.
Rights and permissions
About this article
Cite this article
Lobas, L.G., Zav'yalova, V.V. On divergent bifurcations in dynamic systems with rolling. Int Appl Mech 30, 995–1002 (1994). https://doi.org/10.1007/BF00846831
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00846831