Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems-Reference-Cited by-同舟云学术

Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems

Published:2015 Issue: Volume:2015 Page:1-15
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Belozyorov Vasiliy¹

Affiliation:

1. Department of Applied Mathematics, Dnepropetrovsk National University, Gagarin’s Avenue 72, Dnepropetrovsk 49050, Ukraine

Abstract

New results about the existence of chaotic dynamics in the quadratic 3D systems are derived. These results are based on the method allowing studying dynamics of 3D system of autonomous quadratic differential equations with the help of reduction of this system to the special 2D quadratic system of differential equations.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2015/271637.pdf

Reference33 articles.

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4. New types of 3-D systems of quadratic differential equations with chaotic dynamics based on Ricker discrete population model

5. Implicit one-dimensional discrete maps and their connection with existence problem of chaotic dynamics in 3-D systems of differential equations

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