Computation of Lyapunov quantities and limit cycles

@inproceedings{Kuznetsova2010ComputationOL,
  title={Computation of Lyapunov quantities and limit cycles},
  author={Olga A. Kuznetsova and Gennady A. Leonov},
  booktitle={PSYCO},
  year={2010}
}
The present work is devoted to the qualitative methods of study of periodic solutions of Lienard equation. This equation is often used in automatic control theory to describe the behavior of controllable generators (Cesari (1959); Lefschetz (1957)), where important tasks are to study the excitation of oscillations and analysis of limit cycles (Andronov et al. (1966); Bautin (1949)). Here, one of the most effective investigation methods is a method of computation and analysis of Lyapunov… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 28 references

Limit cycles of Lienard system with discontinuous coefficients

  • G. A. Leonov
  • Doklady Mathematics,
  • 2009
Highly Influential
5 Excerpts

A concrete example of the existence of four limit cycles for plane quadratic systems

  • S. L. Shi
  • Sci. Sinica,
  • 1980
Highly Influential
11 Excerpts

Number of limit cycles of an autonomous second-order system

  • L A.Cherkas
  • Diff. Eq.,
  • 1976
Highly Influential
5 Excerpts

Theory of Oscillators

  • A. A. Andronov, E. A. Witt, E KhaikinS.
  • 1966
Highly Influential
4 Excerpts

Behavior of Dynamical Systems Near the Boundaries of the Stability Region

  • N. Bautin
  • Gostekhizdat, Moscow-Leningrad,
  • 1949
Highly Influential
12 Excerpts

A Direct Method for Calculating Lyapunov Quantities of Two-Dimensional Dynamical Systems

  • G. A. Leonov, N. V. Kuznetsov, E. V. Kudryashova
  • Proceedings of the Steklov Institute of…
  • 2010
1 Excerpt

Lyapunov quantities and limit cycles of two - dimensional dynamical systems

  • A. LeonovG., A. KuznetsovaO.
  • Analytical methods and symbolic computation…
  • 2010

Lyapunov quantities and limit cycles of two-dimensional dynamical systems. Analytical methods and symbolic computation

  • G. A. Leonov, O. A. Kuznetsova
  • Regular and Chaotic Dynamics,
  • 2010
3 Excerpts

Similar Papers

Loading similar papers…