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...

תיאור מלא

שמור ב:
מידע ביבליוגרפי
פורמט: Online
שפה:אנגלית
יצא לאור: MDPI - Multidisciplinary Digital Publishing Institute 2021
נושאים:
גישה מקוונת:ONIX_20210501_9783039368464_937
תגים: הוספת תג
אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!
_version_ 1869521626648805376
collection Directory of Open Access Books
description 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.
format Online
id doab-20.500.12854ir-69191
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-691912024-04-11T15:10:17Z Symmetry and Complexity Cattani, Carlo fractional differential equations fractional oscillations (vibrations) fractional dynamical systems nonlinear dynamical systems harmonic wavelet filtering multilevel system forced Korteweg-de Vries equation trapped solitary wave solutions numerical stability two bumps or holes finite difference method Laplacian spectra categorical product Kirchhoff index global mean-first passage time spanning tree degradation trajectories prognostic asymmetric penalty sparse decomposition (APSD) rolling bearings wavelet neural network (WNN) recursive least squares (RLS) health indicators first multiple Zagreb index second multiple Zagreb index, hyper-Zagreb index Zagreb polynomials Nanotubes thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology 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. 2021-05-01T15:43:25Z 2021-05-01T15:43:25Z 2020 book ONIX_20210501_9783039368464_937 9783039368464 9783039368471 https://directory.doabooks.org/handle/20.500.12854/69191 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2963 https://mdpi.com/books/pdfview/book/2963 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-847-1 10.3390/books978-3-03936-847-1 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039368464 9783039368471 188 Basel, Switzerland open access
spellingShingle fractional differential equations
fractional oscillations (vibrations)
fractional dynamical systems
nonlinear dynamical systems
harmonic wavelet
filtering
multilevel system
forced Korteweg-de Vries equation
trapped solitary wave solutions
numerical stability
two bumps or holes
finite difference method
Laplacian spectra
categorical product
Kirchhoff index
global mean-first passage time
spanning tree
degradation trajectories prognostic
asymmetric penalty sparse decomposition (APSD)
rolling bearings
wavelet neural network (WNN)
recursive least squares (RLS)
health indicators
first multiple Zagreb index
second multiple Zagreb index, hyper-Zagreb index
Zagreb polynomials
Nanotubes
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
Symmetry and Complexity
title Symmetry and Complexity
title_full Symmetry and Complexity
title_fullStr Symmetry and Complexity
title_full_unstemmed Symmetry and Complexity
title_short Symmetry and Complexity
title_sort symmetry and complexity
topic fractional differential equations
fractional oscillations (vibrations)
fractional dynamical systems
nonlinear dynamical systems
harmonic wavelet
filtering
multilevel system
forced Korteweg-de Vries equation
trapped solitary wave solutions
numerical stability
two bumps or holes
finite difference method
Laplacian spectra
categorical product
Kirchhoff index
global mean-first passage time
spanning tree
degradation trajectories prognostic
asymmetric penalty sparse decomposition (APSD)
rolling bearings
wavelet neural network (WNN)
recursive least squares (RLS)
health indicators
first multiple Zagreb index
second multiple Zagreb index, hyper-Zagreb index
Zagreb polynomials
Nanotubes
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
topic_facet fractional differential equations
fractional oscillations (vibrations)
fractional dynamical systems
nonlinear dynamical systems
harmonic wavelet
filtering
multilevel system
forced Korteweg-de Vries equation
trapped solitary wave solutions
numerical stability
two bumps or holes
finite difference method
Laplacian spectra
categorical product
Kirchhoff index
global mean-first passage time
spanning tree
degradation trajectories prognostic
asymmetric penalty sparse decomposition (APSD)
rolling bearings
wavelet neural network (WNN)
recursive least squares (RLS)
health indicators
first multiple Zagreb index
second multiple Zagreb index, hyper-Zagreb index
Zagreb polynomials
Nanotubes
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology
url ONIX_20210501_9783039368464_937