A Lorenz-like Chaotic OTA-C Circuit and Memristive Synchronization

Abstract

In this paper, a new set of lorenz-like hyper-chaotic equation set is obtained using the anti-control
 procedure. The chaoticity of the system is verified by MATLAB simulations using mathematical analysis
 methods. A new OTA-C circuit is designed for the new equation set. In the difference term addition technique,
 synchronizing the OTA-C circuit with a memristor rather than a resistor is proposed. Circuit design and
 synchronization are performed in PSpice simulation. The fact that the transresistance of the OTA element can
 be easily adjusted with a bias current provides the parameters that will make the proposed dynamic circuit a
 chaotic oscillator. The advantage of the proposed synchronization method is that the memristor automatically
 reaches to the value that will provide the required weight of the differential term required for synchronization,
 rather than the computational methods used to determine the weight.

CMOS Design of Chaotic Systems Using Biquadratic OTA-C Filters

“…Briefly, the updated topology includes source degeneration using resistors, as detailed in [33] and shown in Figure 13, where R 1 = R 2 , which can be varied to tune the desired g m value. Some authors just vary the current bias, as shown in [34]; however, the transconductance may become nonlinear, so the best solution herein is the use of source degeneration topologies.…”