Symmetry in Complex System and Network Science

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Computer".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 638

Special Issue Editor


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Guest Editor
School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China
Interests: complex network; graph theory; modeling; network dynamics; network neuroscience

Special Issue Information

Dear Colleagues,

Symmetry is an important concept in complex systems and network science, which widely exists in crystal structures, biological systems, physical systems, and social systems, etc. Symmetry refers to a pattern of balance and harmony within a system or a network. It plays a crucial role in explaining the behavior and structure of networks, as well as the dynamics of complex systems. In network science, symmetry can be observed in the structure of networks, where nodes and edges may have symmetrical relationships with each other. Symmetry can also be observed in the dynamics of complex systems, where patterns of behavior may repeat over time, reflecting a symmetrical underlying structure. Understanding the role of symmetry in these systems is important in order to predict their behavior and optimize their performance.

This Special Issue aims to offer a platform for researchers to discuss and share their own ideas in investigating the symmetry phenomena in complex systems and network science. We also would like for this Special Issue to reinforce symmetry as a fundamental property of many complex systems and networks. Discovering this property can help us better understand how these systems or coupled networks work and evolve over time.

Prof. Dr. Weigang Sun
Guest Editor

Manuscript Submission Information

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Keywords

  • network science
  • symmetry and asymmetry metrics
  • spectral graph theory
  • laplacian eigenvalues of graphs
  • synchronization and consensus of coupled systems
  • optimization algorithms
  • kirchhoff index
  • spanning trees

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Published Papers (1 paper)

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Research

18 pages, 25119 KiB  
Article
Dynamics, Circuit Simulation and Fixed-Time Projection Synchronization in a Memristor-Based Hyperchaotic System
by Yan Zhou, Ruimei Li and Zhuang Cui
Symmetry 2025, 17(5), 685; https://doi.org/10.3390/sym17050685 (registering DOI) - 29 Apr 2025
Abstract
Introducing a memristor into chaotic systems facilitates the construction of high-dimensional hyperchaotic systems. The hyperchaotic signals generated by these systems have important applications in the field of information security. A five-dimensional hyperchaotic system is constructed by introducing a memristor. Its hyperchaotic nature is [...] Read more.
Introducing a memristor into chaotic systems facilitates the construction of high-dimensional hyperchaotic systems. The hyperchaotic signals generated by these systems have important applications in the field of information security. A five-dimensional hyperchaotic system is constructed by introducing a memristor. Its hyperchaotic nature is discussed using phase diagrams and Lyapunov exponential diagrams. The effects of the parameters on the dynamical behavior are examined by bifurcation diagrams and Lyapunov exponential diagrams. To validate the theoretical model, an electronic circuit was designed for circuit simulation. The electronic simulation of the circuit was carried out using the Multisim simulation platform. Finally, the fixed-time projection synchronization of the system was taken into consideration. Three sets of synchronization schemes were considered and simulated. The synchronization scheme has the features of fast synchronization speed and robustness. It is potentially valuable for applications in the fields of chaotic communication and chaotic encryption. Full article
(This article belongs to the Special Issue Symmetry in Complex System and Network Science)
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