Finally, the conservation laws and the Weierstrass elliptic function solutions of the equation are constructed.doi:10.1007/s11071-023-09024-2Huo, JiangyingBao, TaogetusangNonlinear Dynamics
Complex systems derive sophisticated behavioral dynamics by connecting individual component dynamics via a complex network. The resilience of complex systems is a critical ability to regain desirable behavior after perturbations. In the past years, our u
View PDF Download full issue Search ScienceDirect Outline Highlights Abstract Keywords 1. Introduction 2. Problem statement 3. Proposed reconfigurable equalizers 4. Design procedures 5. Filter order estimation 6. Complexity 7. Design examples 8. Conclusion Declaration of Competing Interest Data availabili...
polynomial chaos Expansion的本质就是正交多项式展开，里面的chaos跟混沌并没有直接的关系（汤涛院士和周涛...
POLYNOMIAL chaosRANDOM variablesSurface response models, such as polynomial chaos Expansion, are commonly used to deal with the case of uncertain input parameters. Such models are only surrogates, so it is necessary to develop tools to assess the level of error between the referenc...
NONLINEAR equationsCHEBYSHEV polynomialsThis paper generates a novel approach called the clique polynomial method (CPM) using the clique polynomials raised in graph theory and used for solving the fractional order PDE. The fractional derivative is defined in terms of the Caputo fractiona...
Bell polynomial methodBilinear Bell polynomial Ba¨documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$ddot{a}$$end{document}ck...
Hierarchical clusteringPolynomial weightConsensus clusteringSparse biomedical dataClustering analysis is widely used to interpret biomedical data and uncover new knowledge and patterns. However, conventional clustering methods are not effective when dealing with sparse biomedical data. To overcome this limitation...
Learning Optimal Feedback Operators and their Sparse Polynomial ApproximationsKunisch, KarlVásquez-Varas, DonatoWalter, DanielJournal of Machine Learning Research
TEXT messagesSTATISTICSCRYPTOGRAPHYCryptography is the process of transforming data so that only the recipient of the message can read it. It uses an algorithm and a key to convert an input into an encrypted output. In this study, we introduce a novel method for protecting readable ...