A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation

• A new 4-D fractional-order chaotic system without equilibrium point is proposed.
• The system with integer-order is non-chaos, but it has a quasi-periodic orbit.
• The lowest order for exhibiting a chaotic attractor in this system is 3.2.

A new 4-D fractional-order chaotic system without equilibrium point is proposed in this paper. There is no chaotic behavior for its corresponding integer-order system. By computer simulations, we find complex dynamical behaviors in this system, and obtain that the lowest order for exhibiting a chaotic attractor is 3.2. We also design an electronic circuit to realize this 4-D fractional-order chaotic system and present some experiment results.