Project supported by the National Natural Science Foundation of China(No.12372028);the Guangdong Basic and Applied Basic Research Foundation(No.2022A1515011809)。
A vibro-impact system is a hot topic in the study on nonlinear dynamics due to its generality and importance in engineering.In general,the alternating frequency-time harmonic balance(AFT-HB)method can be used to solve...
Financial support by the German Research Foundation(DFG)through the Collaborative Research Center 1294"Data assimnilation"is gratefully acknowledged.
Hanson-Wright inequality provides a powerful tool for bounding the norm ||ζ|| of a centered stochastic vector ζ with independent entries and sub-gaussian behavior.This paper extends the bounds to the case when ζ on...
supported by the National Natural Science Founda-tion of China(Grant No.12372028);the National Key Research andDevelopment Program of China(Grant No.2020YFC2201101);theGuangdong Basic and Applied Basic Research Foundation(Grant No.2022A1515011809)are gratefully acknowledged.
The harmonic balance method(HBM)has been widely applied to get the periodic solution of nonlinear systems,however,its convergence rate as well as computation efficiency is dramatically degraded when the system is high...
Supported by the National Natural Science Foundation of China(12001395);the special fund for Science and Technology Innovation Teams of Shanxi Province(202204051002018);Research Project Supported by Shanxi Scholarship Council of China(2022-169);Graduate Education Innovation Project of Taiyuan Normal University(SYYJSYC-2314)。
Quadratic matrix equations arise in many elds of scienti c computing and engineering applications.In this paper,we consider a class of quadratic matrix equations.Under a certain condition,we rst prove the existence of...