Integrated Circuit of a Chua's System Based on the Integral-Differential Nonlinear Resistance with Multi-Path...

Area of Science:

• Microelectronic Engineering
• Nonlinear Dynamics
• Chaos Theory

Background:

• Chua's chaotic system is a fundamental model in nonlinear dynamics.
• Implementing chaotic systems in integrated circuits presents challenges in component integration and performance.

Purpose of the Study:

• To present a fully integrated, inductance-free circuit design for Chua's chaotic system.
• To demonstrate the generation of chaotic behavior in a microelectronic circuit.
• To analyze the performance characteristics including frequency, power consumption, and Lyapunov exponents.

Main Methods:

• Utilized SMIC 180 nm CMOS process for circuit fabrication.
• Incorporated a multi-path voltage-controlled oscillator (VCO) for oscillation frequency control.
• Employed integral-differential nonlinear resistance as a variable impedance component.

Main Results:

• Achieved tunable oscillation frequency from 198 MHz to 320 MHz by varying voltage (0 V to 1.8 V).
• Demonstrated low power consumption of 1.0782 mW and a compact area of 0.0165 mm².
• Obtained a high gain-bandwidth product (GBW) of 4.43 GHz and Lyapunov exponents between 0.6435 and 1.0012.

Conclusions:

• The presented integrated circuit successfully implements Chua's chaotic system without inductance.
• The design offers benefits of low power consumption, high operating frequency, and a compact form factor.
• This work contributes to the advancement of chaotic systems in microelectronic applications.