RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive
Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 8, Pages 1449–1456 (Mi zvmmf9525)
This article is cited in 3 papers

Existence of a complex closed trajectory in a three-dimensional dynamical system

A. A. Azamov, O. S. Akhmedov

Institute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, ul. Durmon iuli 29, Tashkent, 100125 Uzbekistan

Abstract: The DN-tracking method is used to prove the existence of a closed trajectory in a quadratic system of ordinary differential equations in three dimensions.

Key words: dynamical system, closed trajectory, Poincaré map, numerical methods.

UDC: 519.624.2

Received: 10.08.2009
Revised: 29.10.2010


 English version: Computational Mathematics and Mathematical Physics, 2011, 51:8, 1353–1359

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025