scholarly journals Quadratic Differential Equations in Three Variables without Multivalued Solutions: Part I

2018 ◽  
Author(s):  
Adolfo Guillot ◽  
Keyword(s):  
Differential Equations ◽  
Quadratic Differential ◽  
Multivalued Solutions

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

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Vasiliy Belozyorov
Keyword(s):  
Differential Equations ◽  
Quadratic Differential ◽  
Chaotic Dynamics ◽  
Quadratic System ◽  
System Of Differential Equations ◽  
Quadratic Systems

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.

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