Symmetry/Asymmetry in Chaos Theory and Application
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 30 June 2025 | Viewed by 1193
Special Issue Editors
2. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, China
3. Collaborative Innovation Center of Memristive Computing Application (CICMCA), Qilu Institute of Technology, Jinan 250200, China
Interests: nonlinear circuits and systems; information and communication engineering
Special Issues, Collections and Topics in MDPI journals
Interests: nonlinear and chaotic dynamics and their applications in science and engineering
Special Issues, Collections and Topics in MDPI journals
Interests: memristive systems and circuits; chaotic systems; fractional-order chaotic systems and circuits; design and implementation of brain-like intelligent computing circuits based on memristors
Interests: chaotic circuits and systems
Special Issue Information
Dear Colleagues,
Chaos theory, which studies the unpredictable yet deterministic behaviors of dynamic systems, often implies that slight changes in initial conditions generate vastly different outcomes. In recent years, chaos theory has made significant progress, including chaos regulation, the coexistence of chaos, chaotic multi-scroll attractors, chaos generated by special devices, neuromorphic chaos, and so on. Correspondingly, the application of chaos in different fields such as chaotic communication, encryption, chaotic stirring, and artificial intelligence is also developing in a promising direction.
However, the chaotic properties of a dynamic system are closely related to the structure of the system. Symmetric systems often output symmetric strange attractors, where broken symmetry is common, leading to coexisting pairs of attractors. Asymmetric systems often give asymmetric phase trajectories, which have great potential in terms of symmetry or conditional symmetry through the adjustment of feedback or based on offset boosting. Based on the observation of symmetry in a chaotic system, it is possible to establish an inherent connection between the topology and chaotic phase orbits, thus enabling a suitable selection of chaotic models with symmetry or asymmetry for practical applications.
By collecting research on the theoretical advancements of chaos, computational methods, and chaos-based practical applications, this Special Issue delves into the intricate balance between symmetry and asymmetry within all kinds of chaotic systems. The topics of this Special Issue comprise symmetric or asymmetric chaotic systems, including the corresponding applications such as secure communications, optimization algorithms, neural networks, brain-like computing, and artificial intelligence. By highlighting recent emerging trends of chaos, we aim to deepen our understanding and foster innovation by leveraging chaos theory for real-world applications.
Prof. Dr. Chunbiao Li
Guest Editor
Dr. Eric Campos Cantón
Dr. Sen Zhang
Dr. Tengfei Lei
Dr. Xudong Gao
Co-Guest Editors
Manuscript Submission Information
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Keywords
- symmetric/asymmetric memristive systems
- symmetric/asymmetric neural network
- symmetric/asymmetric neurons
- symmetric/asymmetric/conditional symmetric attractor
- chaotic oscillation
- symmetry broken
- coexisting attractors
- offset boosting
- chaotic optimization algorithm
- chaos application
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