Long-Range and Symmetry Behaviours and Interactions—Theory and Applications

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

Deadline for manuscript submissions: 31 March 2025 | Viewed by 2370

Special Issue Editors


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Faculdade de Zootecnia e Engenharia de Alimentos da USP, University of São Paulo, Av. Duque de Caxias-Norte, 225, Jardim Elite, Pirassununga 13635-900, SP, Brazil
Interests: fractional order systems; fractional behaviour; fractional modelling for time series; fractional modelling in econophysics; fractional modelling in biological systems; nonlinear phenomena; fractals and chaos
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Special Issue Information

Dear Colleagues,

Several problems in different branches of knowledge such as in physics, biology, engineering, finance, economy, and socioeconomic networks (among others) may involve systems with long-range behaviours and interactions.

This ubiquity in different fields alone would itself justify the need for a better general and interdisciplinary understanding of the real phenomena and mathematical problems raised by long-range interacting systems. The relationship between symmetries and the effective theories of long-range behaviours and models is also relevant.

Indeed, there is a great richness related to the dynamics of long-range and fractional behaviours, and their description may be related (but is not limited) to fractional mathematical models that can capture fractional behaviours.

In this context, at present, there are still many unsolved problems, and new theoretical developments and applications are needed in order to describe more accurately systems with long-range behaviours and interactions.

The goal of this Special Issue is to bring together contributions from researchers in different topics of engineering, mathematics, physics, biology, economy, finance, and other sciences involving long-range and symmetry behaviours and interactions. Papers describing original theoretical research, applications, as well as new experimental results are welcome.

Dr. Sergio Adriani David
Prof. Dr. Liping Chen
Guest Editors

Manuscript Submission Information

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Keywords

  • long-range correlations
  • statistical physics of long-range interacting systems
  • fractional processes
  • fractional dynamics
  • mathematical invariances
  • long-memory time series
  • fractional calculus

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Published Papers (1 paper)

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Research

9 pages, 567 KiB  
Article
Variable Fractional-Order Equivalent Circuit Model for Lithium-Ion Battery via Chaotic Adaptive Fractional Particle Swarm Optimization Method
by Deshun Wang, Haikun Wei, Jinhua Xue, Fubao Wu and António M. Lopes
Symmetry 2022, 14(11), 2407; https://doi.org/10.3390/sym14112407 - 14 Nov 2022
Cited by 1 | Viewed by 1629
Abstract
A variable fractional-order equivalent circuit model is proposed to accurately describe the dynamic characteristics of lithium-ion batteries (LIBs). Firstly, a fractional impedance model (FIM) is established, such that the fractional-order (FO) is a polynomial function of the LIB state of charge (SOC [...] Read more.
A variable fractional-order equivalent circuit model is proposed to accurately describe the dynamic characteristics of lithium-ion batteries (LIBs). Firstly, a fractional impedance model (FIM) is established, such that the fractional-order (FO) is a polynomial function of the LIB state of charge (SOC). Then, a chaotic adaptive fractional particle swarm optimization (CAFPSO) method is derived to identify the parameters of the FIM. Experiments reveal the reliability of the novel approach through the root-mean-squared error (RMSE) and the mean absolute error (MAE) of the LIB terminals voltage, yielding the values 8.99 mV and 4.56 mV, respectively. This translates into accuracy improvements of 22.5% and 34.4% for the particle swarm optimization (PSO) algorithm and 57.9% and 72.8% for the adaptive fractional particle swarm optimization (AFPSO) algorithm, respectively. Full article
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