Some criteria for presence and absence of limit cycles in dynamical systems of the second order-Reference-Cited by-同舟云学术

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

Published:1966 Issue:6 Volume:7 Page:1114-1118
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Rychkov G. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF00966409.pdf

Reference4 articles.

1. V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations, [in Russian], Fizmatgiz, Moscow-Leningrad (1949).

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).

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).

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).

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