On the separation of motions in systems with a large fast excitation of general form

  title={On the separation of motions in systems with a large fast excitation of general form},
  author={A. Fidlin},
  • A. Fidlin
  • Published 1999
In this study dynamic systems are considered, in which motion can be described through a system of second-order ordinary differential equations with the right sides depending both on the slow time and on the fast timeτ = ωt (ω 1 is a big dimensionsless parameter). It is assumed that the right sides are large (they have the magnitude order ω) and depend both on generalised coordinates and on the generalised velocities of the system. A motion separating procedure is developed for the systems… CONTINUE READING
1 Citations
6 References
Similar Papers


Publications citing this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

Synchronisation in Science and Technology

  • I. I. Blekhman
  • Bogoliubov N.N., Mitropolskii Y.A.,
  • 1988
Highly Influential
5 Excerpts

The response of nonlinear systems to modulated high frequency input

  • A. NayfehS., H. NayfehA.
  • Nonlinear Dyn .
  • 1995

Applied Methods in Oscillation Theory. Nauka, Moscow (in Russian)

  • V. F. Zhuravlev, D. M. Klimov
  • 1988
2 Excerpts

Introduction to Non-linear Mechanics

  • N. M. Krylov, N. N. Bogoliubov
  • Perturbation Methods. Wiley Interscience,
  • 1957
1 Excerpt

Pendulum with vibrating suspension

  • L. KapitsaP.
  • Achieve . Phys . Sci .
  • 1954

Dynamic stability of a pendulum with oscillating suspension point

  • L. KapitsaP.
  • J . Exp . Theor . Phys .
  • 1951

Similar Papers

Loading similar papers…