The Painlevé test for nonlinear system of differential equations with complex chaotic behavior

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Tsegel'Nik, V.^1

Belarusian State University of Informatics and Radioelectronics, P. Brovki Str. 6, Minsk

220013, Belarus^1

关键词: Autonomous systems;    Chaotic behaviors;    Constant parameters;    Quadratic nonlinearities;    Right-hand sides;    System of differential equations;    Third order;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012035/pdf
DOI  :  10.1088/1742-6596/788/1/012035

来源: IOP

【 摘 要 】

The Painlevé-analysis was performed for solutions of nonlinear third-order autonomous system of differential equations with quadratic nonlinearities on their right-hand sides. At certain values of two constant parameters incorporated into the system, the latter exhibits complex chaotic behavior. When the parameters attain the values corresponding to complex chaotic behavior, the system was found not to possess the Painlevé property.