Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A dynamical problem for nonholonomic systems subject to random perturbations

  • 13 Accesses

This is a preview of subscription content, log in to check access.

Literature Cited

  1. 1.

    I. I. Gikhman, and A. V. Skorokhod, Stochastic Differential Equations [in Russian] Naukova Dumka, Kiev (1968).

  2. 2.

    I. V. Nikolenko and I. I. Khil'kevich, “Motion of diesel trolleys as systems with nonholonomic constraints,” in: Structural and Vehicular Machinery in Mining [in Russian], No. 3, Tekhnika, Kiev (1966).

  3. 3.

    Ya. M. Pevzner and A. A. Tikhonov, “Results of a study of microprofiles of the basic types of automobile roads,” Proc. Sem Automotive Suspensions [in Russian], No. 8, Moscow (1963).

  4. 4.

    V. A. Pyatetskii, “Random forced vibrations of nonholonomic systems,” Prikl. Mekhan.,6, No. 8 (1970).

  5. 5.

    A. A. Sveshnikov, Applied Methods of the Theory of Stochastic Functions [in Russian], Nauka, Moscow (1968).

  6. 6.

    R. Z. Khas'minskii, Stability of Systems of Differential Equations under Random Perturbations of Their Parameters [in Russian], Nauka, Moscow (1969).

Download references

Additional information

Kiev State University. Translated from Prikladnaya Mekhanika, Vol. 9, No. 1, pp. 127–129, January, 1973.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Nikolenko, I.V., Pyatetskii, V.A. & Khil'kevich, I.I. A dynamical problem for nonholonomic systems subject to random perturbations. Soviet Applied Mechanics 9, 104–106 (1973). https://doi.org/10.1007/BF00888713

Download citation

Keywords

  • Dynamical Problem
  • Random Perturbation
  • Nonholonomic System