Chaos in Essentially Singular 3D Dynamical Systems with Two Quadratic Nonlinearities. (20th September 2016)

• Record Type: Journal Article
• Authors: Belozyorov, Vasiliy
• Other Names: Lu Zhao Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2016(2016)
• Publication Date: 2016-09-20
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2016/2410806
• Languages: English
• ISSNs: 2356-7503

Abstract

Abstract : A new class of 3D autonomous quadratic systems, the dynamics of which demonstrate a chaotic behavior, is found. This class is a generalization of the well-known class of Lorenz-like systems. The existence conditions of limit cycles in systems of the mentioned class are found. In addition, it is shown that, with the change of the appropriate parameters of systems of the indicated class, chaotic attractors different from the Lorenz attractor can be generated (these attractors are the result of the cascade of limit cycles bifurcations). Examples are given.