A fractional order chaotic system with a 3D grid of variable attractors

A novel fractional order dynamical system with a variable double-scroll attractor on a line, lattice and 3D grid is introduced. This system belongs to a class of chaotic systems with adjustable variables but with fractional order. Chaos generation only depends on the value of fractional order. As a result, a chaotic attractor is discovered and propagated in y-line. By introducing two extra control parameters, we also observed that the chaotic attractor varies in x-line, z-line, x−y-lattice, x−z-lattice, y−z-lattice, and 3D-grid. Dynamics of the new system are discovered by using phase portraits, bifurcation diagrams, Lyapunov spectrum, Kaplan-Yorke dimension, dissipative measure. Finally, the proposed fractional order system is designed with analog electronic circuits. Circuit results are in concordance with theoretical findings.