A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil’nikov theorem and undetermined coefficient method.
"Analysis of a New Quadratic 3D Chaotic Attractor." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/540769