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A Conservative Memristive Chaotic System with Extreme Multistability and Its Application in Image Encryption
Jian Li1, Bo Liang2, Xiefu Zhang1
1College of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China.
Entropy (Basel, Switzerland)
|December 23, 2023
Summary
A new conservative memristive chaotic system was developed, showing controllable amplitude and extreme multistability. This system achieved excellent image encryption performance, offering a reference for future research.
Area of Science:
- Nonlinear dynamics
- Chaos theory
- Memristive systems
Background:
- Memristors are fundamental electronic components with memory properties.
- Chaotic systems exhibit sensitive dependence on initial conditions, making them suitable for secure applications.
- Multistability in chaotic systems, where multiple coexisting attractors are present, enhances complexity.
Purpose of the Study:
- To construct a novel conservative memristive chaotic system.
- To investigate the system's dynamic characteristics, including quasi-periodic trajectories and amplitude control.
- To explore the system's potential for image encryption applications.
Main Methods:
- Construction of a conservative chaotic system using a smooth memristor.
- Analysis of nonlinear dynamics and multistability using numerical simulations.
- Implementation of the system on STMicroelectronics 32 for image encryption.
Main Results:
- The proposed system generates multiple quasi-periodic trajectories within a narrow parameter range.
- System amplitude is controllable via initial values, demonstrating nonlinear dynamic characteristics.
- Extreme multistability with isomorphic and isomeric attractors was observed.
- The system achieved excellent image encryption with an average correlation coefficient of 0.0083 and information entropy of 7.9993.
Conclusions:
- A novel conservative memristive chaotic system with controllable amplitude and extreme multistability was successfully developed.
- The system demonstrated high performance in image encryption, validated by low correlation coefficients and high information entropy.
- This research provides a valuable reference for developing conservative memristive chaotic systems for secure communication and image encryption.
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