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

Belozyorov Vasiliy

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

机译：通过将其简化为特殊的2D二次系统来研究3D自治二次系统的混沌动力学

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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.

机译：得出有关二次3D系统中混沌动力学存在的新结果。这些结果基于以下方法：该方法允许研究3D自治二次微分方程系统的动力学，并将该系统简化为特殊的2D二次微分方程系统。

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《Mathematical Problems in Engineering》 |2015年第6期|271637.1-271637.15|共15页
作者
Belozyorov Vasiliy;
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Dnepropetrovsk Natl Univ, Dept Appl Math, UA-49050 Dnepropetrovsk, Ukraine.;

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1. Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems [J] . VasiliyBelozyorov Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第4期

机译：通过将其简化为特殊的2D二次系统来研究3D自治二次系统的混沌动力学
2. Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems [J] . Belozyorov Vasiliy Ye International journal of bifurcation and chaos in applied sciences and engineering . 2017,第3期

机译：用于搜索通用自主二次动力系统混沌吸引子的减少方法
3. A novel search method of chaotic autonomous quadratic dynamical systems without equilibrium points [J] . Belozyorov Vasiliy Ye. Nonlinear dynamics . 2016,第2期

机译：无平衡点的混沌自治二次动力系统的一种新型搜索方法
4. Converting a General 2D Quadratic Autonomous System to a 2D Lorenz-Type System [C] . Hua Cuncai, Chen Guanrong Chaos-Fractals Theories and Applications, 2009. IWCFTA '09 . 2009

机译：将普通的2D二次自治系统转换为2L Lorenz型系统
5. Quadratic stability and block diagonal quadratic stability analysis for a special class of nonlinear systems. [D] . Chow, Yin-Lam. 2011

机译：一类特殊非线性系统的二次稳定性和块对角线二次稳定性分析。
6. Observer and descriptor satisfying incremental quadratic constraint for class of chaotic systems and its applications in a quadrotor chaotic system [O] . Muhammad Sabir, Muhammad Marwan, Salman Ahmad, -1

机译：满足一类混沌系统增量二次约束的观测器和描述符及其在四旋翼混沌系统中的应用
7. Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems [O] . Vasiliy Belozyorov 2015

机译：三维自主二次系统混沌动力学对特殊2D二次系统的混沌动力学研究
8. MPC for Large-Scale Systems via Model Reduction and Multiparametric Quadratic Programming [R] . Hovland, S. , Willcox, K. , Gravdahl, J. T. 2006

机译：通过模型简化和多参数二次规划实现大规模系统的mpC

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

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