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Construction of multi-state chaotic systems and applications to image encryption
Xia Wang1, Hongmin Wu2, An Yan2
1College of Engineering, Shandong Xiehe University, Jinan, 250107, China. wangxia202510@163.com.
Scientific Reports
|January 23, 2026
Summary
Researchers developed a new method to construct chaotic systems using state variables and small parameters, enhancing image encryption security. This novel approach, incorporating memristors, creates multi-wing attractors and offers universal applicability for secure data transmission.
Area of Science:
- Nonlinear Dynamics and Chaos Theory
- Cryptography and Information Security
Background:
- Chaotic systems offer complex dynamics suitable for encryption.
- Existing methods for constructing chaotic systems have limitations.
- Memristors provide unique properties for system design.
Purpose of the Study:
- To propose a novel, universal method for constructing chaotic systems.
- To incorporate memristors for creating multi-wing attractor chaotic systems.
- To develop and evaluate a secure image encryption algorithm based on the new chaotic system.
Main Methods:
- Constructing chaotic systems using state variables and small parameters.
- Incorporating memristors to generate multi-wing attractors.
- Extending the method to fractional-order systems and analyzing dynamics with SALI.
- Developing a multi-state chaotic image encryption algorithm.
- Evaluating security through histogram analysis, information entropy, and plaintext sensitivity tests.
Main Results:
- A novel chaotic system construction method with universal applicability was demonstrated.
- Multi-wing attractor chaotic systems were successfully generated and analyzed.
- The proposed method was validated for fractional-order systems.
- A robust multi-state chaotic image encryption algorithm was developed.
- Rigorous security evaluations confirmed the system's effectiveness.
Conclusions:
- The proposed method provides a versatile framework for constructing advanced chaotic systems.
- The developed image encryption algorithm exhibits strong security and robustness.
- This research offers significant potential for enhancing secure image encryption applications.
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