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Title: A novel chaotic system in the spherical coordinates
Authors: Lianyu, Chen
Esteban Tlelo-Cuautle
Ibrahim Ismael Hamarash
Viet-Thanh Pham
Hamid Reza Abdolmohammadi
Issue Date: 2020
Publisher: Springer Link
Abstract: Investigating new chaotic flows has been a hot topic for many years. Studying the chaotic attractors of systems with various properties illuminates a lamp to reveal the vague of the generation of chaotic attractors. A new chaotic system in the spherical coordinates is proposed in this paper. The system’s solution is inside a predefined sphere, and its attractor cannot cross the sphere. Investigation of equilibrium points of the system shows that the system has eight equilibria, and all of them are saddle. Bifurcation analysis of the system depicts the period-doubling route to chaos with changing the bifurcation parameter. Also, Lyapunov exponents in the studied interval of the bifurcation parameter are discussed. The basin of attraction of the system is investigated to show the sensitivity of the system to initial conditions.
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