Universal approach to the problem of emergence of chaos in autonomous dynamical systems

被引：2

作者：

Belozyorov, Vasiliy Ye. ^{[1
]}

机构：

[1] Dnipro Natl Univ, Dept Appl Math, Gagarins Ave 72, UA-49050 Dnipro, Ukraine

来源：

NONLINEAR DYNAMICS | 2019年 / 95卷 / 01期

关键词：

Chaotic attractor; 1D exponential discrete map; Degenerate system; Periodic orbits; Jacobian matrix; Saddle point; ATTRACTORS; EXISTENCE;

D O I：

10.1007/s11071-018-4584-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A new method for studying the problem of emergence of chaos in dynamical systems, the right-hand sides of which are continuously differentiable functions, is proposed. The application of obtained results to the investigation of chaotic dynamical systems without homoclinic or heteroclinic orbits and also without use of the concept of equilibrium points (for example, it can be memristive systems) is shown. In addition, the offered method can be used as a tool for search of hidden chaotic attractors.

引用

页码：579 / 595

页数：17

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