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HAMILTONIAN_SYSTEM: 作品数：181被引量：207H指数：6; 导出分析报告; 相关作者：代海涛冯桂珍张福保郑宇曾开俊更多>>; 相关机构：东南大学北京航空航天大学哈尔滨工业大学浙江师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>

BRAKE ORBITS WITH MINIMAL PERIOD ESTIMATES OF FIRST-ORDER ANISOTROPIC HAMILTONIAN SYSTEMS: 《Acta Mathematica Scientia》2025年第2期347-362,共16页Xiaofei ZHANG Chungen LIU; supported by the NSFC(12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(2018-B-15);The second author’s work was supported by the NSFC(12171108).; In this paper,the problem of brake orbits with minimal period estimates are considered for the first-order Hamiltonian systems with anisotropic growth,i.e.,the Hamiltonian functions may have super-quadratic,sub-quadra...; 关键词：Hamiltonian system anisotropic growth brake orbit Lo-index

Symmetric Brake Orbits with Minimal Period of First-order Anisotropic Hamiltonian Systems: 《Acta Mathematica Sinica,English Series》2024年第12期3079-3092,共14页Xiao Fei ZHANG Fan Jing WANG; supported by the National Natural Science Foundation of China(Grant No.12301138);the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi(Grant No.2021L377);the Doctoral Scientific Research Foundation of Shanxi Datong University(Grant No.2018-B-15)。; Via the homology link theorem and the L0-index theory,symmetric brake orbits with minimal period are ensured for first-order Hamiltonian systems under anisotropic growth assumptions,which are variant forms of sub-quad...; 关键词：Hamiltonian system anisotropic growth brake orbit L 0-index

Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian: 《Wuhan University Journal of Natural Sciences》2024年第6期547-557,共11页WANG Cai SONG Chuanjing; Supported by the National Natural Science Foundation of China (12172241, 12272248);the Qing Lan Project of Colleges and Universities in Jiangsu Province。; Singular systems within combined fractional derivatives are established.Firstly,the fractional Lagrange equation is analyzed.Secondly,the fractional primary constraint is given.Thirdly,the Noether and Lie symmetry met...; 关键词：combined fractional derivative constrained Hamilton equation conserved quantity Noether symmetry Lie symmetry

Solitary,periodic,kink wave solutions of a perturbed high-order nonlinear Schrödinger equation via bifurcation theory: 《Propulsion and Power Research》2024年第3期433-444,共12页Qiancheng Ouyang Zaiyun Zhang Qiong Wang Wenjing Ling Pengcheng Zou Xinping Li; supported by Hunan Provincial Natural Science Foundation of China Grant No.2021JJ30297;Scientific Research Fund of Hunan Provincial Education Department No.22A0478 and No.22C0365;Hunan Province Graduate Research Innovation,China Project No.CX20231208;Research and Innovation team of Hunan Institute of Science and Technology (Grant No.2019-TD-15).; In this paper,by using the bifurcation theory for dynamical system,we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlin-earity.Firstly,based on wave variables,the ...; 关键词：Traveling wave solution High-order nonlinear Schrödinger equation Bifurcation theory Dynamical system Hamiltonian system

Hamiltonian system for the inhomogeneous plane elasticity of dodecagonal quasicrystal plates and its analytical solutions被引量：1: 《Chinese Physics B》2024年第1期581-590,共10页孙志强侯国林乔艳芬刘金存; Project supported by the National Natural Science Foundation of China (Grant Nos.12261064 and 11861048);the Natural Science Foundation of Inner Mongolia,China (Grant Nos.2021MS01004 and 2022QN01008);the High-level Talents Scientific Research Start-up Foundation of Inner Mongolia University (Grant No.10000-21311201/165)。; A Hamiltonian system is derived for the plane elasticity problem of two-dimensional dodecagonal quasicrystals by introducing the simple state function. By using symplectic elasticity approach, the analytic solutions o...; 关键词：Hamiltonian system symplectic elasticity QUASICRYSTALS analytic solution state function

Contact Extension and Symplectification: 《Acta Mathematicae Applicatae Sinica》2023年第4期962-971,共10页Qi-huai LIU An XIE Chao WANG; supported by the National Natural Science Foundation of China (Nos.11771105, 12071410);the Natural Science Foundation of Guangxi Province (Nos.2017GXNSFFA198012);Guangxi Distinguished Expert Project。; This paper mainly studies the contact extension of conservative or dissipative systems, including some old and new results for wholeness. Then extension of contact system is corresponding to the symplectification of c...; 关键词：contact extension contact Hamiltonian system contact transformation

Symmetric Reduction and Hamilton-Jacobi Equations of the Controlled Underwater Vehicle-Rotor System: 《Communications in Mathematical Research》2023年第4期575-644,共70页Hong Wang; .As an application of the theoretical results,in this paper,we study the symmetric reduction and Hamilton-Jacobi theory for the underwater ve-hicle with two internal rotors as a regular point reducible RCH system,in t...; 关键词：Underwater vehicle with internal rotors regular controlled Hamiltonian system coincident and non-coincident centers regular point reduction Hamilton-Jacobi equation

A LINEARLY-IMPLICIT ENERGY-PRESERVING ALGORITHM FOR THE TWO-DIMENSIONAL SPACE-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATION BASED ON THE SAV APPROACH: 《Journal of Computational Mathematics》2023年第5期797-816,共20页Yayun Fu Wenjun Cai Yushun Wang; supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242);the Natural Science Foundation of Henan Province(No.222300420280);the Program for Scientific and Technological Innovation Talents in Universities of Henan Province(No.22HASTIT018).; The main objective of this paper is to present an efficient structure-preserving scheme,which is based on the idea of the scalar auxiliary variable approach,for solving the twodimensional space-fractional nonlinear Sc...; 关键词：Fractional nonlinear Schrodinger equation Hamiltonian system Scalar auxiliary variable approach Structure-preserving algorithm

Neuronal avalanches:Sandpiles of self-organized criticality or critical dynamics of brain waves?: 《Frontiers of physics》2023年第4期337-348,共12页Vitaly L.Galinsky Lawrence R.Frank; supported by NSF grant ACI-1550405;UCOP MRPI grant MRP17454755;NIH grant R01 AG054049.; Analytical expressions for scaling of brain wave spectra derived from the general nonlinear wave Hamiltonian form show excellent agreement with experimental“neuronal avalanche”data.The theory of the weakly evanescen...; 关键词：nonlinear waves critical exponent Hamiltonian system neuronal avalanches critical dynamics

HAMILTON-JACOBI EQUATIONS FOR A REGULAR CONTROLLED HAMILTONIAN SYSTEM AND ITS REDUCED SYSTEMS被引量：1: 《Acta Mathematica Scientia》2023年第2期855-906,共52页王红; partially supported by the Nankai University 985 Project;the Key Laboratory of Pure Mathematics and Combinatorics,Ministry of Education,China;the NSFC(11531011)。; In this paper,we give the geometric constraint conditions of a canonical symplectic form and regular reduced symplectic forms for the dynamical vector fields of a regular controlled Hamiltonian(RCH)system and its regu...; 关键词：regular controlled Hamiltonian system Hamilton-Jacobi equation regular point reduction regular orbit reduction RCH-equivalence

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