Generation of grid multi-scroll Chua’s chaotic attractors with combination of hysteresis and step series

Abstract

In this paper, a new approach to generating two types of grid multi-scroll chaotic attractors from canonical Chua’s circuit is reported. Different from the techniques reported in current literature for generating multi-scroll chaotic attractors by constructing only the same type of non-linear function, the present approach constructs both hysteresis series and step series in the same Chua's circuit, and extends the saddle-focus equilibrium points with index-2 in phase space by combining both series in different ways, which makes it possible to create two kinds of grid multi-scroll chaotic attractors. The effectiveness of this method has been verified by theoretical analysis, numerical simulation and circuit implementation.