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

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  • Vasiliy Belozyorov

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.

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  • Vasiliy Belozyorov, 2015. "Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-15, March.
    • Handle: RePEc:hin:jnlmpe:271637
    DOI: 10.1155/2015/271637
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