A New Imprisoned Strange Attractor

Authors

Nazarimehr F., Pham V.-T., Rajagopal K., Alsaadi F.E., Hayat T., Jafari S.

Source title

International Journal of Bifurcation and Chaos

Publication year
2019
Abstract

This paper proposes a new chaotic system with a specific attractor which is bounded in a sphere. The system is offered in the spherical coordinate. Dynamical properties of the system are investigated in this paper. The system shows multistability, and all of its attractors are inside or on the surface of the specific sphere. Bifurcation diagram of the system displays an inverse period-doubling route to chaos. Lyapunov exponents of the system are studied to show its chaotic attractors and predict its bifurcation points.