Search for Periodic Solutions of Highly Nonlinear Dynamical Systems

被引：0

作者：

L. F. Petrov

机构：

[1] Plekhanov Russian University of Economics,

来源：

Computational Mathematics and Mathematical Physics | 2018年 / 58卷

关键词：

highly nonlinear systems of ordinary differential equations; periodic solutions; stability of periodic solutions; strange attractor; deterministic chaos;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Numerical-analytical methods for finding periodic solutions of highly nonlinear autonomous and nonautonomous systems of ordinary differential equations are considered. Algorithms for finding initial conditions corresponding to a periodic solution are proposed. The stability of the found periodic solutions is analyzed using corresponding variational systems. The possibility of studying the evolution of periodic solutions in a strange attractor zone and on its boundaries is discussed, and interactive software implementations of the proposed algorithms are described. Numerical examples are given.

引用

页码：384 / 393

页数：9

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