云南高校图书馆联盟文献共享服务平台- HOMOCLINIC

HOMOCLINIC: 作品数：81被引量：79H指数：4; 导出分析报告; 相关作者：韩茂安叶彦谦谢勇王付霞更多>>; 相关机构：西安交通大学上海交通大学南京大学更多>>; 相关期刊：《Journal of Ocean University of China》《Journal of Earth Science and Engineering》《Science China Chemistry》《Communications in Nonlinear Science and Numerical Simulation》更多>>; 相关基金：国家自然科学基金广东省自然科学基金国家高技术研究发展计划上海市教育委员会重点学科基金更多>>

Probability Density Analysis of Nonlinear Random Ship Rolling被引量：1: 《Journal of Ocean University of China》2023年第5期1227-1242,共16页CHEN Jia YANG Jianming SHEN Kunfan CHANG Zongyu ZHENG Zhongqiang; the National Natural Science Foundation of China(Nos.52088102,51875540)。; Ship rolling in random waves is a complicated nonlinear motion that contributes substantially to ship instability and capsizing.The finite element method(FEM)is employed in this paper to solve the Fokker Planck(FP)equ...; 关键词：ship rolling homoclinic rolling heteroclinic rolling finite element method Fokker Planck equation probability density function

Chaotic Dynamics of Monotone Twist Maps: 《Acta Mathematica Sinica,English Series》2022年第1期179-204,共26页Guo Wei YU; Supported by National Key R&D Program of China(Grant No.2020YFA0713303);the Fundamental Research Funds for the Central Universities(Grant No.63213032);Nankai Zhide Foundation。; For a monotone twist map,under certain non-degenerate condition,we showed the existence of infinitely many homoclinic and heteroclinic orbits between two periodic neighboring minimal orbits with the same rotation numb...; 关键词：Monotone twist maps homoclinic and heteroclinic orbits topological entropy

Bi-Lyapunov St able Homoclinic Classes for C^(1)Generic Flows: 《Acta Mathematica Sinica,English Series》2021年第7期1023-1040,共18页Ru Song ZHENG; We study bi-Lyapunov stable homoclinic classes for a C^(1)generic flow on a closed Rieman-nian manifold and prove that such a homoclinic class contains no singularity.This enables a parallel study of bi-Lyapunov stabl...; 关键词：Bi-Lyapunov stable homoclinic class SINGULARITY dominated splitting linear cocycle

On C^(*)-algebras from homoclinic equivalences on subshifts of finite type: 《Science China Mathematics》2021年第4期747-762,共16页Chengjun Hou; supported by National Natural Science Foundation of China(Grant Nos.11771379,11271224 and 11371290)。; Let G be an infinite countable group and A be a finite set.IfΣ?A~G is a strongly irreducible subshift of finite type,we endow a locally compact and Hausdorff topology on the homoclinic equivalence relation■onΣand s...; 关键词：homoclinic equivalence relation groupoid C^(*)-algebra amenable group action entropy

Shadowing Homoclinic Chains to a Symplectic Critical Manifold: 《Analysis in Theory and Applications》2021年第1期1-23,共23页Sergey Bolotin; This work is supported by the Russian Science Foundation under grant No.19-71-30012.; We prove the existence of trajectories shadowing chains of heteroclinic or-bits to a sy mplectic normally hyperbolic critical manifold of a Hamiltonian system.The results are quite different for real and complex eigen...; 关键词：Hamiltonian system homoclinic orbit SHADOWING

Canard explosion,homoclinic and heteroclinic orbits in singularly perturbed generalist predator-prey systems: 《International Journal of Biomathematics》2021年第1期151-174,共24页Ali Atabaigi; This paper studies the dynamics of the generalist predator–prey systems modeled in[E.Alexandra,F.Lutscher and G.Seo,Bistability and limit cycles in generalist predator–prey dynamics,Ecol.Complex.14(2013)48–55].When...; 关键词：Canard cycle relaxation oscillation generalist predator prey singular perturbation HOMOCLINIC HETEROCLINIC

Exact Solutions to the Bidirectional SK-Ramani Equation: 《Communications in Mathematical Research》2019年第4期289-300,共12页Zou Jia-hui Wang Yun-hu Gao Wen-jie; The NSF(11571008,51679132)of China; In this paper,the bidirectional SK-Ramani equation is investigated by means of the extended homoclinic test approach and Riemann theta function method,respectively.Based on the Hirota bilinear method,exact solutions i...; 关键词：HIROTA BILINEAR method BIDIRECTIONAL Sawada-Kotera EQUATION extended HOMOCLINIC test approach RIEMANN theta function

Homoclinic, heteroclinic and periodic orbits of singularly perturbed systems: 《Science China Mathematics》2019年第9期1687-1704,共18页Xiang Zhang; supported by National Natural Science Foundation of China(Grant No.11671254);Innovation Program of Shanghai Municipal Education Commission(Grant No.15ZZ012); The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on normally hyperbolic critical manifolds, and also the limit cycle bifurcations either from the ho...; 关键词：SINGULAR perturbation HOMOCLINIC and HETEROCLINIC ORBITS limit cycle rotating vector fields AVERAGING method

Bursting oscillations as well as the bifurcation mechanism in a non-smooth chaotic geomagnetic field model被引量：1: 《Chinese Physics B》2018年第11期412-418,共7页Ran Zhang Miao Peng Zhengdi Zhang Qinsheng Bi; Project supported by the National Natural Science Foundation of China(Grant No.11472116);the Key Program of the National Natural Science Foundation of China(Grant No.11632008);the Postgraduate Research&Practice Innovation Program of Jiangsu Province,China(Grant No.KYCX17 1784); Based on the chaotic geomagnetic field model, a non-smooth factor is introduced to explore complex dynamical behaviors of a system with multiple time scales. By regarding the whole excitation term as a parameter, bifu...; 关键词：multiple time scales grazing bifurcation across-sliding bifurcation non-smooth homoclinic bi- furcation

Computation of a Point-to-Point Homoclinic Orbit for a Semiconductor Laser Model: 《Applied Mathematics》2018年第11期1258-1269,共12页Panagiotis S. Douris Michail P. Markakis; In this paper, a methodology for the numerical location of a global point-to-point (P2P for short) homoclinic asymptotically connecting orbit is applied to a modified version of Shimizu-Morioka system, which models a ...; 关键词：HOMOCLINIC Connections ORTHOGONAL COLLOCATION on Finite Elements Numerical CONTINUATION Limit Cycles

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