Dual Chua’s Circuit

As a classic paradigm of chaos generation, Chua’s circuit has been widely studied and applied in different fields. Various Chua’s circuits employing voltage-controlled Chua’s diodes have been designed and implemented, but rare such circuits employing current-controlled Chua’s diodes have been reported to date. Following the technical steps which Chua used to design the famous Chua’s circuit, this paper presents a systematic design procedure of the chaotic circuits employing current-controlled nonlinear resistors. Two simple circuit topologies are presented as paradigms, which respectively are dual to the classical Chua’s circuit and the canonical Chua’s circuit. In specific, we obtain two simple implementations of the dual Chua’s circuits consisting of two inductors, one capacitor, one passive/active linear resistor, and one piecewise-linear current-controlled Chua’s diode. The numerical simulations and the previously unreported physical implementations confirmed the feasibility of the design. Consequently, it enriches the genealogy of the Chua’s circuit family.