A novel 4D chaotic system coupling with dual-memristors and application in image encryption

Area of Science:

• Nonlinear Dynamics and Chaos Theory
• Memristor-based Circuit Design
• Information Security

Background:

• Jerk chaotic systems are fundamental in nonlinear dynamics.
• Memristors offer unique nonlinear characteristics for circuit design.
• Existing chaotic systems may lack sufficient complexity for advanced applications like encryption.

Purpose of the Study:

• To introduce a novel four-dimensional dual-memristor chaotic system (4D-DMCS).
• To investigate the enhanced dynamic behaviors and complexity introduced by two distinct memristors.
• To evaluate the system's performance in image encryption.

Main Methods:

• Construction of the 4D-DMCS by integrating two memristors into a jerk chaotic system.
• Analysis of nonlinear properties using Lyapunov exponent spectrum and bifurcation diagrams.
• Hardware implementation using an STM32 microcontroller.

Main Results:

• The 4D-DMCS exhibits enriched dynamics, increased multistability, and higher spectral entropy and C0 complexity.
• The system retains offset boosting characteristics from the original jerk system.
• Successful hardware implementation validates the system's physical realizability.

Conclusions:

• The integration of dual memristors significantly enhances the chaotic system's complexity and dynamic range.
• The 4D-DMCS demonstrates superior performance for image encryption.
• The study highlights the potential of memristor-based chaotic systems in secure communication.