A negative capacitor emulator circuit and its application in chaotic circuits.

Area of Science:

• Electrical Engineering and Applied Physics
• Nonlinear Dynamics and Chaos Theory
• Materials Science and Ferroelectrics

Background:

• Negative capacitance, a phenomenon typically observed in ferroelectric materials, presents unique nonlinear characteristics with significant application potential.
• The practical unavailability of single negative capacitance devices hinders in-depth investigation and application development.
• A hardware solution is crucial for exploring the electrical properties and functionalities of negative capacitance.

Purpose of the Study:

• To design and implement a hardware emulator for negative capacitance based on a mathematical model.
• To investigate the S-shaped voltage-charge characteristics of the proposed negative capacitor emulator.
• To explore the application of the negative capacitor emulator in designing novel chaotic circuits.

Main Methods:

• Development of a negative capacitor emulator circuit using readily available components like operational amplifiers, resistors, and capacitors.
• Mathematical modeling to define the S-shaped voltage-charge behavior of the negative capacitor.
• Design of a chaotic circuit incorporating the negative capacitor emulator.
• Theoretical calculations, circuit simulations, and hardware experiments for verification.

Main Results:

• Successful implementation of a hardware negative capacitor emulator mimicking the characteristic S-shaped voltage-charge curve.
• Demonstration of the emulator's functionality using standard electronic components.
• The proposed emulator, when integrated into a circuit, can generate various chaotic behaviors, including single-period, double-period, and single/double-scroll chaos.

Conclusions:

• The developed hardware emulator effectively replicates negative capacitance behavior.
• The negative capacitor emulator is a viable tool for studying negative capacitance and its applications.
• The emulator's successful integration into a chaotic circuit opens avenues for generating complex nonlinear dynamics.