THE DISCRETE HYPERCHAOTIC DOUBLE SCROLL

In this paper we present and analyze a new piecewise linear map of the plane capable of generating chaotic attractors with one and two scrolls. Due to the shape of the attractor and its hyperchaoticity, we call it "the discrete hyperchaotic double scroll." It has the same nonlinearity as used in the well-known Chua circuit. A rigorous proof of the hyperchaoticity of this attractor is given and numerically justified.