Studies on a Operational-Amplifier Based Circuit for Simple and Hyper Chaotic Signal Emulation

The paper presents a simple operational amplifier based circuit that can emulate different types of behaviour including hyper chaotic attractor. The circuit implements the governing jerk equations using few integrators and a non-linear Opamp acting as a comparator. The mathematical foundation behind the working of this circuit is established in the paper. Further, the performance of the circuit is studied using simulation studies in LTspice software. A hardware model of the circuit is developed and tested. Results from these studies show the ability of the emulator circuit to generate various waveforms such as hyper chaotic waveforms, chaotic waveforms and periodic attractors. The developed circuit can be used for random number generation which in turn can be used in encryption studies, design of secure communication system, etc.