云南高校图书馆联盟文献共享服务平台- BIRKHOFFIAN

BIRKHOFFIAN: 作品数：15被引量：50H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：姜文安张毅更多>>; 相关机构：北京信息科技大学江苏科技大学中国矿业大学（北京）苏州科技学院更多>>; 相关期刊：《Theoretical & Applied Mechanics Letters》《Science China Mathematics》《Communications in Theoretical Physics》《Journal of Beijing Institute of Technology》更多>>; 相关基金：国家自然科学基金江苏省自然科学基金更多>>

Structure-Preserving Recurrent Neural Networks for a Class of Birkhoffian Systems被引量：1: 《Journal of Systems Science & Complexity》2024年第2期441-462,共22页XIAO Shanshan CHEN Mengyi ZHANG Ruili TANG Yifa; supported by the National Natural Science Foundation of China under Grant Nos.12171466 and 12271025.; In this paper,the authors propose a neural network architecture designed specifically for a class of Birkhoffian systems—The Newtonian system.The proposed model utilizes recurrent neural networks(RNNs)and is based on...; 关键词：BIRKHOFFIAN system k(z t)-symplectic NEURAL NETWORKS RECURRENT NEURAL network

Least-squares reverse time migration in visco-acoustic media based on symplectic stereo-modeling method: 《Global Geology》2023年第4期237-250,共14页LI Jingshuang ZHANG Xiangjia HE Xijun ZHOU Yanjie; Supported by projects of National Natural Science Foundation of China(Nos.41604105,41974114);Fundamental Research Funds for Central Universities(No.2020YQLX01).; The authors proposed a symplectic stereo-modeling method(SSM)in the Birkhoffian dynam-ics and apply it to the visco-acoustic least-squares reverse time migration(LSRTM).The SSM adopts ste-reo-modeling operator in spac...; 关键词：least-squares reverse time migration visco-acoustic equation Birkhoffian dynamic symplectic stereo-modeling dynamic source encoding

Conserved quantities and adiabatic invariants of fractional Birkhoffian system of Herglotz type被引量：4: 《Chinese Physics B》2020年第4期303-311,共9页Juan-Juan Ding Yi Zhang; Project supported by the National Natural Science Foundation of China(Grant Nos.11972241,11572212,and 11272227);the Natural Science Foundation of Jiangsu Province,China(Grant No.BK20191454);the Innovation Program for Postgraduade in Higher Education Institutions of Jiangsu Province,China(Grant No.KYCX192013)。; In order to further study the dynamical behavior of nonconservative systems,we study the conserved quantities and the adiabatic invariants of fractional Brikhoffian systems with four kinds of different fractional deri...; 关键词：FRACTIONAL BIRKHOFFIAN system Pfaff-Birkhoff-d’Alembert PRINCIPLE ADIABATIC invariant Herglotz generalized VARIATIONAL PRINCIPLE

Recent Advances on Herglotz’s Generalized Variational Principle of Nonconservative Dynamics被引量：6: 《Transactions of Nanjing University of Aeronautics and Astronautics》2020年第1期13-26,共14页ZHANG Yi; supported by the National Natural Science Foundations of China (Nos. 11972241,11572212,11272227);the Natural Science Foundation of Jiangsu Province(No. BK20191454).; This paper summarized the recent development on Herglotz’s generalized variational principle and its symmetries and conserved quantities for nonconservative dynamical systems.Taking Lagrangian mechanics,Hamiltonian m...; 关键词：nonconservative dynamics Herglotz’s generalized variational principle Lagrangian mechanics Hamil-tonian mechanics Birkhoffian mechanics

Generalized canonical transformation for second-order Birkhoffian systems on time scales被引量：5: 《Theoretical & Applied Mechanics Letters》2019年第6期353-357,共5页Y.Zhang X.H.Zhai; supported by the National Natural Science Foundation of China(Grants 11972241 and 11572212); The theory of time scales,which unifies continuous and discrete analysis,provides a powerful mathematical tool for the study of complex dynamic systems.It enables us to understand more clearly the essential problems o...; 关键词：BIRKHOFFIAN systems GENERALIZED CANONICAL transformation Time scales CALCULUS Generating function

Birkhoffian Formulations of Bessel Equation被引量：1: 《Journal of Beijing Institute of Technology》2019年第2期234-237,共4页Wen'an Jiang Lili Xia Yanli Xu; Supported by the National Natural Science Foundation of China(11702119,11502071);the Natural Science Foundation of Jiangsu Province(BK20170565); The Birkhoffian mechanics is more general than the Hamilton mechanics,but only some dynamical systems can be realized as a Birkhoffian formulation.This paper proposes a novel Birkhoffian formulation for the classical ...; 关键词：BIRKHOFFIAN formulations BESSEL EQUATION FIRST METHOD of Santilli

非线性非保守系统的近似Birkhoffian化: 《江苏科技大学学报（自然科学版）》2019年第1期121-123,130,共4页姜文安夏丽莉; 国家自然科学基金资助项目(11702119;11502071);江苏省自然科学基金资助项目(BK20170565); 研究了非线性非保守动力学系统的近似Birkhoffian化.基于等效线性化方法,通过平方误差累积最优原理,给出了非线性非保守系统的等效线性化系统.运用Santilli第一方法,得到Birkhoff函数为系统总能量的近似Birkhoff系统.最后,应用文中提出...; 关键词：非保守系统 Birkhoffian化等效线性化方法

Bessel方程的Noether对称性和守恒量: 《云南大学学报（自然科学版）》2018年第4期697-704,共8页姜文安孙鹏谷家杨夏丽莉; 国家自然科学基金(11702119;51779109;11502071);江苏省自然科学基金(BK20170565); Birkhoff力学比Hamilton力学更普遍,但只有一些动力系统能够实现Birkhoff化.文章基于Santilli的第一方法,给出经典贝塞尔方程的一种新型Birkhoff化.通过引入Lie群无穷小变换下的不变性,建立Bessel方程的Noether对称性变换与准对称性变换...; 关键词：Birkhoffian化 NOETHER对称性守恒量 BESSEL方程

Birkhoffian symplectic algorithms derived from Hamiltonian symplectic algorithms: 《Chinese Physics B》2016年第1期407-411,共5页孔新雷吴惠彬梅凤翔; supported by the National Natural Science Foundation of China(Grant No.11272050);the Excellent Young Teachers Program of North China University of Technology(Grant No.XN132);the Construction Plan for Innovative Research Team of North China University of Technology(Grant No.XN129); In this paper, we focus on the construction of structure preserving algorithms for Birkhoffian systems, based on existing symplectic schemes for the Hamiltonian equations. The key of the method is to seek an invertibl...; 关键词：Birkhoffian equations Hamiltonian equations symplectic algorithm

Method of variation of parameters for solving a constrained Birkhoffian system: 《Journal of Southeast University(English Edition)》2013年第3期342-345,共4页张毅; The National Natural Science Foundation of China(No.10972151,11272227); For an in-depth study on the integration problem of the constrained mechanical systems the method of integration for the Birkhoffian system with constraints is discussed and the method of variation of parameters for s...; 关键词：Birkhoffian mechanics method of integration method of variation of parameter constrained Birkhoffian system

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