Abstract
Based on Sprott N system, a new three-dimensional autonomous system is reported. It is demonstrated to be chaotic in the sense of having positive largest Lyapunov exponent and fractional dimension. To further understand the complex dynamics of the system, some basic properties such as Lyapunov exponents, bifurcation diagram, Poincaré mapping, and period-doubling route to chaos are analyzed with careful numerical simulations. The obtained results also show that the period-doubling sequence of bifurcations leads to a Feigenbaum-like strange attractor.
Highlights
A chaotic system is a nonlinear deterministic system that displays a complex and unpredictable behavior
Since Lorenz found the first chaotic attractor in a smooth threedimensional autonomous system, considerable research interests have been made in searching for the new chaotic attractors [1–14]
Stimulated by the above works, in this paper, we propose a new chaotic system based on Sprott N system [5]
Summary
A chaotic system is a nonlinear deterministic system that displays a complex and unpredictable behavior. The classic Lorenz system [1] has motivated a great deal of interest and investigation of 3D autonomous chaotic systems with simple nonlinearities, such as Rosser system [2], Chen system [3], and Lusystem [4]. These cases are characterized by seven terms and either two quadratic nonlinearities or one quadratic nonlinearity. Stimulated by the above works, in this paper, we propose a new chaotic system based on Sprott N system [5]. This new system is a three-dimensional autonomous system characterized by six terms but equipped with only one nonlinear term.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
