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Research on Variable Parameter Color Image Encryption Based on Five-Dimensional Tri-Valued Memristor Chaotic System.

Pan Wang¹, Lina Ding¹

¹School of Electronics and Information Engineering, Heilongjiang University of Science and Technology, Harbin 150022, China.

Entropy (Basel, Switzerland)

|July 26, 2024

Summary

This summary is machine-generated.

A novel five-dimensional tri-valued memristor chaotic system enhances image security. This complex chaotic system enables a secure image encryption scheme with variable parameters, offering robust protection for sensitive data.

Keywords:

different structures’ synchronous control variable parameter voltage-controlled tri-valued memristor

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Area of Science:

Nonlinear Dynamics and Chaos Theory
Information Security and Cryptography
Memristor-based Systems

Background:

Existing chaotic systems lack sufficient complexity for advanced security applications.
Memristor devices offer unique properties for constructing complex dynamical systems.
Image encryption requires robust chaotic systems capable of generating complex pseudo-random sequences.

Purpose of the Study:

To construct a novel five-dimensional tri-valued memristor chaotic system with high complexity.
To analyze the complex dynamical behaviors of the proposed chaotic system.
To develop and evaluate a secure color image encryption scheme based on the new chaotic system.

Main Methods:

Introduction of a pressure-controlled tri-valued memristor into a pseudo-four-wing chaotic system.
Analysis of system dynamics using Lyapunov exponents, bifurcation maps, and phase portraits.
Implementation of nonlinear feedback control for system synchronization.
Development of a variable parameter image encryption scheme involving sequence generation, diffusion, and DNA encryption.

Main Results:

The new system exhibits rich dynamical behaviors, including periodic limit rings, variable airfoils, and transient chaos.
Successful simulation of the chaotic system using dynamic circuits in Simulink.
The proposed image encryption scheme demonstrates high security against various attacks (differential, noise, geometric).
Analysis of encryption effectiveness using histogram, information entropy, and adjacent pixel correlation.

Conclusions:

The constructed five-dimensional tri-valued memristor chaotic system possesses high complexity and rich dynamics.
The proposed variable parameter image encryption scheme offers a high degree of security.
The encryption method is suitable for applications in medical, military, and financial fields requiring stringent security.