A No‐Equilibrium Hyperchaotic System and Its Fractional‐Order Form

No‐equilibrium system with chaotic behavior has attracted considerable attention recently because of its hidden attractor. We study a new four‐dimensional system without equilibrium in this work. The new no‐equilibrium system exhibits hyperchaos and coexisting attractors. Amplitude control feature of the system is also discovered. The commensurate fractional‐order version of the proposed system is studied using numerical simulations. By tuning the commensurate fractional‐order, the proposed system displays a wide variety of dynamical behaviors ranging from coexistence of quasiperiodic and chaotic attractors and bistable chaotic attractors to point attractor via transient chaos.