Generation of a novel spherical chaotic attractor from a new three-dimensional system
Changchun Sun, Enliang Zhao, Qicheng Xu
Abstract
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Changchun Sun, Enliang Zhao, Qicheng Xu
Abstract
Open-access reader
A new three-dimensional (3D) system is constructed and a novel spherical chaotic attractor is generated from the system. Basic dynamical behaviors of the chaotic system are investigated respectively. Novel spherical chaotic attractors can be generated from the system within a wide range of parameter values. The shapes of spherical chaotic attractors can be impacted by the variation of parameters. Finally, a simpler 3D system and a more complex 3D system with the same capability of generating spherical chaotic attractors are put forward respectively.
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A new three-dimensional (3D) system is constructed and a novel spherical chaotic attractor is generated from the system. Basic dynamical behaviors of the chaotic system are investigated respectively. Novel spherical chaotic attractors can be generated from the system within a wide range of parameter values. The shapes of spherical chaotic attractors can be impacted by the variation of parameters. Finally, a simpler 3D system and a more complex 3D system with the same capability of generating spherical chaotic attractors are put forward respectively.
Key concepts: Attractor, Chaotic, Range (aeronautics), Physics, Computer science, Statistical physics, Mathematical analysis, Mathematics