Chaotic Systems and Their Applications, 3rd Edition

A Special Issue of Mathematics (ISSN 2227-7390) belonging to the section "C2: Dynamical Systems".

Deadline for manuscript submissions: 28 February 2027 | Viewed by 545

Editor


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Guest Editor
School of Electronic Information, Central South University, Changsha, China
Interests: memristor; memristive neural networks; chaotic system and circuit; image encryption; neuromorphic engineering
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Special Issue Information

Dear Colleagues,

We invite you to submit your latest theoretical and applied research in the field of chaos to the Special Issue entitled “Chaotic Systems and Their Applications, 3rd Edition”. The aim of the Special Issue is to promote the development and application of chaos theory in the areas of mathematics, physics, computer, information, economics, engineering, artificial intelligence, and so on. Any innovative study of theoretical and applied developments in chaos is highly welcome. In addition, research papers that focus on new chaos phenomena, constructing new chaotic systems, and proposing new chaos applications are also welcome. We are looking forward to receiving research manuscripts on chaos, chaotic systems, memristor, neural networks, bifurcation, nonlinear dynamics, synchronous control, equilibrium points, stability, nonlinear circuits, complex systems, fractional-order systems, and chaos-based applications. Note that applications are not limited to the topics mentioned.

Dr. Hairong Lin
Guest Editor

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Keywords

  • chaos
  • chaotic system
  • neural network
  • memristor
  • nonlinear dynamics
  • synchronous control circuit implementation

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Published Papers (1 paper)

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Research

21 pages, 13943 KB  
Article
Tunable Dynamics of Memristive Chaotic Systems and Its Application in Water Facility Image Encryption
by Xuehui Lu, Tingting Wang, Hongzhi Wang, Shaohua Zhang and Cong Wang
Mathematics 2026, 14(11), 1945; https://doi.org/10.3390/math14111945 - 2 Jun 2026
Viewed by 277
Abstract
Nonlinear memristors frequently contribute to enhancing the dynamical richness of chaotic systems, yet their complexity and flexibility have often been overlooked. In this work, a piecewise non-smooth threshold memristor model is proposed, which is coupled as a nonlinear term into the Sprott C [...] Read more.
Nonlinear memristors frequently contribute to enhancing the dynamical richness of chaotic systems, yet their complexity and flexibility have often been overlooked. In this work, a piecewise non-smooth threshold memristor model is proposed, which is coupled as a nonlinear term into the Sprott C system, yielding a novel four-dimensional memristive chaotic dynamical system. From a theoretical perspective, stability analysis reveals that unstable index-2 saddle-focus equilibrium points are governed by the memristive piecewise parameter, and the topological invariance of the system is verified. In numerical simulations, bifurcation diagrams, Lyapunov exponents, and phase portraits are employed to reveal the mechanism of novel tunable chaotic dynamics. The results demonstrate that memristive coupling strength can induce the system to generate double-scroll, double-wing, and double-butterfly chaotic attractors; the piecewise parameter of the memristor can control the system to produce multi-structure attractors with expanded quantity, and the initial condition of the memristor can regulate the system to generate offset-boosted chaotic attractors. Finally, the novel tunable dynamics is applied to water facility image encryption. Experimental results demonstrate that the proposed algorithm possesses a key space of 2100, a correlation coefficient of only 0.0002, and information entropy close to the ideal value of eight. The NPCR and UACI reach 99.6161% and 33.4669%, respectively, the key sensitivity is up to 1016, and all p-values from the NIST tests are greater than 0.01, confirming that the algorithm achieves excellent security performance. Full article
(This article belongs to the Special Issue Chaotic Systems and Their Applications, 3rd Edition)
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