
This article is cited in 2 scientific papers (total in 2 papers)
Complex periodic solutions of autonomous ODE systems with analytical right sides near an equilibrium point
V. F. Edneral^{} ^{} Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
Abstract:
The paper contains the proof of a theorem on the relation of frequencies of the periodic complex solutions of a nonlinear ordinary differential equation system resolved with respect to derivatives and having analytical right parts with the frequencies of periodic solutions of the corresponding linearized system in the neighborhood of an equilibrium point.
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Received: 01.01.1995
Citation:
V. F. Edneral, “Complex periodic solutions of autonomous ODE systems with analytical right sides near an equilibrium point”, Fundam. Prikl. Mat., 1:2 (1995), 393–398
Citation in format AMSBIB
\Bibitem{Edn95}
\by V.~F.~Edneral
\paper Complex periodic solutions of autonomous ODE systems with analytical right sides near an equilibrium point
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 2
\pages 393398
\mathnet{http://mi.mathnet.ru/fpm68}
\mathscinet{http://www.ams.org/mathscinetgetitem?mr=1790971}
\zmath{https://zbmath.org/?q=an:0868.34031}
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This publication is cited in the following articles:

Edneral V.F., “A symbolic approximation of periodic solutions of the HenonHeiles system by the normal form method”, Mathematics and Computers in Simulation, 45:5–6 (1998), 445–463

Edneral V.F., “Bifurcation analysis of low resonant case of the generalized HenonHeiles system”, Computer Algebra in Scientific Computing, 2001, 167–175

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