Generation of n-double scrolls (n=1, 2, 3, 4,…)

Chua´s double scroll is probably the best known and most extensively studied example of chaotic behaviour generated by electrical circuits. It is illustrated in this paper that by modifying the characteristic of the nonlinear resistor with additional break points even more “complicated” attractors can be obtained, called n-double scrolls (n=1, 2, 3, 4,…). The new circuit can be seen as a generalization of Chua´s circuit such that the 1-double scroll corresponds to the classical double scroll. The construction of the attractors was partially based on a combination of linearization around equilibrium points and an alternative method for studying nonlinear systems that we called a quasilinear approach. This method is heuristic and qualitative but may give additional global insight into the state space behaviour and may open new views towards the construction of attractors