TY - BOOK ID - 145447626 TI - Symmetry and Complexity PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - History of engineering & technology KW - fractional differential equations KW - fractional oscillations (vibrations) KW - fractional dynamical systems KW - nonlinear dynamical systems KW - harmonic wavelet KW - filtering KW - multilevel system KW - forced Korteweg-de Vries equation KW - trapped solitary wave solutions KW - numerical stability KW - two bumps or holes KW - finite difference method KW - Laplacian spectra KW - categorical product KW - Kirchhoff index KW - global mean-first passage time KW - spanning tree KW - degradation trajectories prognostic KW - asymmetric penalty sparse decomposition (APSD) KW - rolling bearings KW - wavelet neural network (WNN) KW - recursive least squares (RLS) KW - health indicators KW - first multiple Zagreb index KW - second multiple Zagreb index, hyper-Zagreb index KW - Zagreb polynomials KW - Nanotubes KW - fractional differential equations KW - fractional oscillations (vibrations) KW - fractional dynamical systems KW - nonlinear dynamical systems KW - harmonic wavelet KW - filtering KW - multilevel system KW - forced Korteweg-de Vries equation KW - trapped solitary wave solutions KW - numerical stability KW - two bumps or holes KW - finite difference method KW - Laplacian spectra KW - categorical product KW - Kirchhoff index KW - global mean-first passage time KW - spanning tree KW - degradation trajectories prognostic KW - asymmetric penalty sparse decomposition (APSD) KW - rolling bearings KW - wavelet neural network (WNN) KW - recursive least squares (RLS) KW - health indicators KW - first multiple Zagreb index KW - second multiple Zagreb index, hyper-Zagreb index KW - Zagreb polynomials KW - Nanotubes UR - https://www.unicat.be/uniCat?func=search&query=sysid:145447626 AB - 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. ER -