LEADER 03513nam 2200661z- 450 001 9910557108503321 005 20210501 035 $a(CKB)5400000000040962 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/69191 035 $a(oapen)doab69191 035 $a(EXLCZ)995400000000040962 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSymmetry and Complexity 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (188 p.) 311 08$a3-03936-846-X 311 08$a3-03936-847-8 330 $aSymmetry 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. 606 $aHistory of engineering and technology$2bicssc 610 $aasymmetric penalty sparse decomposition (APSD) 610 $acategorical product 610 $adegradation trajectories prognostic 610 $afiltering 610 $afinite difference method 610 $afirst multiple Zagreb index 610 $aforced Korteweg-de Vries equation 610 $afractional differential equations 610 $afractional dynamical systems 610 $afractional oscillations (vibrations) 610 $aglobal mean-first passage time 610 $aharmonic wavelet 610 $ahealth indicators 610 $aKirchhoff index 610 $aLaplacian spectra 610 $amultilevel system 610 $aNanotubes 610 $anonlinear dynamical systems 610 $anumerical stability 610 $arecursive least squares (RLS) 610 $arolling bearings 610 $asecond multiple Zagreb index, hyper-Zagreb index 610 $aspanning tree 610 $atrapped solitary wave solutions 610 $atwo bumps or holes 610 $awavelet neural network (WNN) 610 $aZagreb polynomials 615 7$aHistory of engineering and technology 700 $aCattani$b Carlo$4edt$0512688 702 $aCattani$b Carlo$4oth 906 $aBOOK 912 $a9910557108503321 996 $aSymmetry and Complexity$93038934 997 $aUNINA