Siberian Mathematical Journal

, Volume 7, Issue 6, pp 1114–1118 | Cite as

Some criteria for presence and absence of limit cycles in dynamical systems of the second order

  • G. S. Rychkov
Brief Communications

Keywords

Dynamical System 

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Literature Cited

  1. 1.
    V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations, [in Russian], Fizmatgiz, Moscow-Leningrad (1949).Google Scholar
  2. 2.
    S. A. Markosyan, Qualitative Analysis of a System of Two Differential Equations by the Method of “Two Isoclines”, Izv. Vyssh. Uch. Zavedenii, No. 1, 16–22 (1959).Google Scholar
  3. 3.
    M. N. Voilokov, Sufficient Conditions for the Existence of Exactly n Limit Cycles in the System xt′=y, yt′=F(y)−x, Matem. Sb.,44, No. 2, 235–244 (1958).Google Scholar
  4. 4.
    A. F. Filippov, Sufficient Conditions for the Existence of a Stable Limit Cycle for Second-Order Equations, Matem. Sb.,30, No. 1, 171–180 (1952).Google Scholar

Copyright information

© Consultants Bureau 1966

Authors and Affiliations

  • G. S. Rychkov

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