The Painlevé test for nonlinear system of differential equations with complex chaotic behavior
[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.
[发布日期] [发布机构] Belarusian State University of Informatics and Radioelectronics, P. Brovki Str. 6, Minsk; 220013, Belarus^1
[效力级别] 数学 [学科分类]
[关键词] Autonomous systems;Chaotic behaviors;Constant parameters;Quadratic nonlinearities;Right-hand sides;System of differential equations;Third order [时效性]
