Symmetry and Complexity

Symmetry and complexity are the focus of a selection of outstanding papers, ranging from pure Mathematics and Physics to Computer Science and Engineering applications. This collection is based around fundamental problems arising from different fields, but all of them have the same task, i.e. breakin...

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Bibliographic Details
Main Author: Cattani, Carlo
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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653 |a Zagreb polynomials 
653 |a first multiple Zagreb index 
653 |a filtering 
653 |a categorical product 
653 |a finite difference method 
653 |a recursive least squares (RLS) 
653 |a degradation trajectories prognostic 
653 |a harmonic wavelet 
653 |a numerical stability 
653 |a spanning tree 
653 |a asymmetric penalty sparse decomposition (APSD) 
653 |a Laplacian spectra 
653 |a Nanotubes 
653 |a History of engineering & technology / bicssc 
653 |a nonlinear dynamical systems 
653 |a global mean-first passage time 
653 |a second multiple Zagreb index, hyper-Zagreb index 
653 |a Kirchhoff index 
653 |a two bumps or holes 
653 |a fractional differential equations 
653 |a forced Korteweg-de Vries equation 
653 |a wavelet neural network (WNN) 
653 |a fractional oscillations (vibrations) 
653 |a rolling bearings 
653 |a multilevel system 
653 |a fractional dynamical systems 
653 |a health indicators 
653 |a trapped solitary wave solutions 
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520 |a Symmetry and complexity are the focus of a selection of outstanding papers, ranging from pure Mathematics and Physics to Computer Science and Engineering applications. This collection is based around fundamental problems arising from different fields, but all of them have the same task, i.e. breaking the complexity by the symmetry. In particular, in this Issue, there is an interesting paper dealing with circular multilevel systems in the frequency domain, where the analysis in the frequency domain gives a simple view of the system. Searching for symmetry in fractional oscillators or the analysis of symmetrical nanotubes are also some important contributions to this Special Issue. More papers, dealing with intelligent prognostics of degradation trajectories for rotating machinery in engineering applications or the analysis of Laplacian spectra for categorical product networks, show how this subject is interdisciplinary, i.e. ranging from theory to applications. In particular, the papers by Lee, based on the dynamics of trapped solitary waves for special differential equations, demonstrate how theory can help us to handle a practical problem. In this collection of papers, although encompassing various different fields, particular attention has been paid to the common task wherein the complexity is being broken by the search for symmetry.