云南高校图书馆联盟文献共享服务平台- HYPERBOLICITY

HYPERBOLICITY: 作品数：36被引量：15H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》《Journal of Physical Science and Application》《Communications in Computational Physics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划俄罗斯基础研究基金北京市自然科学基金更多>>

On the Centralizers of Rescaling Separating Differentiable Vector Fields: 《Acta Mathematica Sinica,English Series》2024年第11期2671-2683,共13页Bo HAN Xiao WEN; Supported by National Key R&D Program of China(Grant No.2022YFA1005801);National Natural Science Foundation of China(Grant No.12071018);the Fundamental Research Funds for the Central Universities。; In this paper,we introduce a new concept of expansiveness,similar to the separating property.Specifically,we consider a compact Riemannian manifold M without boundary and a C^(1)vector field X on M,which generates a f...; 关键词：CENTRALIZER EXPANSIVENESS HYPERBOLICITY

A GENERALIZED LIPSCHITZ SHADOWING PROPERTY FOR FLOWS: 《Acta Mathematica Scientia》2023年第1期259-288,共30页韩波 Manseob LEE; supported by National Natural Science Foundation of China(12071018);Fundamental Research Funds for the Central Universities;supported by the National Research Foundation of Korea(NRF)funded by the Korea government(MIST)(2020R1F1A1A01051370)。; In this paper,we define a generalized Lipschitz shadowing property for flows and prove that a flowΦgenerated by a C1vector field X on a closed Riemannian manifold M has this generalized Lipschitz shadowing property i...; 关键词：FLOW Perron property HYPERBOLICITY generalized Lipschitz shadowing property structural stability

On Energy Stable Runge-Kutta Methods for the Water Wave Equation and its Simplified Non-Local Hyperbolic Model: 《Communications in Computational Physics》2022年第6期222-258,共37页Lei Li Jian-Guo Liu Zibu Liu Yi Yang Zhennan Zhou; L.Li was supported by National Natural Science Foundation of China(Grant No.31571071);Shanghai Sailing Program 19YF1421300;J.-G.Liu was supported in part by DMS-2106988;Z.Zhou was supported by the National Key R&D Program of China,Project Number 2021YFA001200;the NSFC,grant number 12171013.; Although interest in numerical approximations of the water wave equationgrows in recent years, the lack of rigorous analysis of its time discretization inhibits thedesign of more efficient algorithms. In practice of w...; 关键词：Runge-Kutta methods NON-LOCALITY HYPERBOLICITY

A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position被引量：1: 《Chinese Annals of Mathematics,Series B》2022年第4期567-584,共18页Guangsheng YU; supported by the National Natural Science Foundation of China(No.11801366)。; In this paper,by using Seshadri constants for subschemes,the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in(weak)subgeneral position.As an applic...; 关键词：Second main theorem In general position Closed subscheme Seshadri constant Schmidt’s subspace theorem HYPERBOLICITY

Globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision: 《Science China Mathematics》2022年第5期1029-1064,共36页Yangyu Kuang Huazhong Tang; supported by the Special Project on High-performance Computing under the National Key R&D Program (Grant No. 2016YFB0200603);the Science Challenge Project (Grant No. TZ2016002);the Sino-German Research Group Project (Grant No. GZ 1465);National Natural Science Foundation of China (Grant Nos. 91630310 and 11421101); This paper continues to derive the globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision.The method is the model redu...; 关键词：moment method HYPERBOLICITY special relativistic Boltzmann equation model reduction operator projection

On Holder Dependence of the Parameterized Hartman–Grobman Theorem被引量：1: 《Acta Mathematica Sinica,English Series》2022年第1期137-147,共11页Wen Meng ZHANG Peng LIU Xuan LEI; supported by NSFC(Grant No.11671061);NSF-CQ(Grant No.cstc2018kjcxljrc0049);supported by NSF-CQ(Grant No.cstc2018jcyj AX0418)。; The well-known Hartman-Grobman Theorem says that a C~1 hyperbolic diffeomorphism F can be locally linearized by a homeomorphismΦ.For parameterized systems F_(θ),known results show that the corresponding homeomorphi...; 关键词：Holder linearization dependence on parameter HYPERBOLICITY

SRB measures for pointwise hyperbolic systems on open regions: 《Science China Mathematics》2020年第9期1671-1720,共50页Jianyu Chen Huyi Hu Yunhua Zhou; The third author was supported by National Natural Science Foundation of China(Grant Nos.11871120 and 11671093).; A diffeomorphism f:M→M is pointwise partially hyperbolic on an open invariant subset N⊂M if there is an invariant decomposition TNM=Eu⊕Ec⊕Es such that Dxf is strictly expanding on Eu x and contracting on Esx at eac...; 关键词：pointwise hyperbolicity unstable manifold SRB measure almost Anosov di eomorphism Katok's map

On the notions of singular domination and(multi-)singular hyperbolicity被引量：1: 《Science China Mathematics》2020年第9期1721-1744,共24页Sylvain Crovisier Adriana da Luz Dawei Yang Jinhua Zhang; The first author was supported by the European Research Council(Grant No.692925);The third author was supported by National Natural Science Foundation of China(Grant Nos.11671288,11822109 and 11790274);The fourth author was supported by the starting grant from Beihang University and the European Research Council(Grant No.692925).; The properties of uniform hyperbolicity and dominated splitting have been introduced to study the stability of the dynamics of diffeomorphisms.One meets difficulties when trying to extend these definitions to vector f...; 关键词：multi-singular hyperbolicity singular domination star vector field linear Poincar´e flow

Inverse shadowing and related measures被引量：1: 《Science China Mathematics》2020年第9期1825-1836,共12页Sergey G.Kryzhevich Sergei Yu.Pilyugin; This work was supported by the Russian Foundation for Basic Researches(Grant No.18-01-00230-a).; We study various weaker forms of the inverse shadowing property for discrete dynamical systems on a smooth compact manifold.First,we introduce the so-called ergodic inverse shadowing property(Birkhoff averages of cont...; 关键词：inverse shadowing invariant measure HYPERBOLICITY axiom A STABILITY

Lyapunov exponent,Liao perturbation and persistence: 《Science China Mathematics》2020年第9期1913-1928,共16页Wenxiang Sun Todd Young; The rst author was supported by National Natural Science Foundation of China(Grant Nos.11771026 and 11831001).; Consider a C1 vector eld together with an ergodic invariant probability that hasℓnonzero Lya-punov exponents.Using orthonormal moving frames along a generic orbit we construct a linear system ofℓdi erential equations ...; 关键词：Lyapunov exponent Liao perturbation ergodic probability non-uniformly hyperbolicity

HYPERBOLICITY