In this paper, we introduce the finding of a new double-scroll attractor with a single equilibrium point. The mathematical model that describes the behavior of the double-scroll attractor consists of three first-order differential equations with only one parameter and a nonlinear term. The oscillatory behavior was achieved by imposing the Jacobian matrix has a pair of complex conjugate eigenvalues with positive real part and a negative real value. The nonlinear term is a cubic function that gives a complex trajectory of orbits around of a single equilibrium point located at the origin. A set of propositions is given to establish the different behaviors of the dynamical system. Furthermore, its dynamics are studied through a bifurcation diagram and a pair of propositions explaining the type of bifurcation that the system presents. Finally, the mathematical model was implemented electronically and the experimental results agree with the numerical simulations.