Analysis of a New Quadratic 3D Chaotic Attractor

الملخص EN

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.