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MANIFOLD: 作品数：522被引量：677H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘泉声刘学伟蒋占四徐增敏赵汝文更多>>; 相关机构：北京师范大学江苏德是和通信科技有限公司西华大学南开大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家教育部博士点基金更多>>

Relationship between manifold smoothness and adversarial vulnerability in deep learning with local errors: 《Chinese Physics B》2021年第4期25-32,共8页Zijian Jiang Jianwen Zhou Haiping Huang; Project supported by the National Key R&D Program of China (Grant No. 2019YFA0706302);the start-up budget 74130-18831109 of the 100-talent-program of Sun Yat-sen University;the National Natural Science Foundation of China (Grant No. 11805284); Artificial neural networks can achieve impressive performances,and even outperform humans in some specific tasks.Nevertheless,unlike biological brains,the artificial neural networks suffer from tiny perturbations in s...; 关键词：neural networks learning

New results for exponential synchronization of linearly coupled ordinary differential systems: 《Chinese Physics B》2017年第5期82-89,共8页童评陈士华; Project supported by the National Natural Science Foundation of China(Grant No.61273215); This paper investigates the exponential synchronization of linearly coupled ordinary differential systems. The intrinsic nonlinear dynamics may not satisfy the QUAD condition or weak-QUAD condition. First, it gives a ...; 关键词：ordinary exponential linearly synchronized intrinsic satisfy symmetric infinitely manifold proof

Generalized Birkhofflan representation of nonholonomic systems and its discrete variational algorithm被引量：3: 《Chinese Physics B》2016年第11期346-352,共7页刘世兴刘畅花巍郭永新; Project supported by the National Natural Science Foundation of China(Grant Nos.11472124,11572145,11202090,and 11301350);the Doctor Research Start-up Fund of Liaoning Province,China(Grant No.20141050);the China Postdoctoral Science Foundation(Grant No.2014M560203);the General Science and Technology Research Plans of Liaoning Educational Bureau,China(Grant No.L2013005); By using the discrete variational method,we study the numerical method of the general nonholonomic system in the generalized Birkhoffian framework,and construct a numerical method of generalized Birkhoffian equations ...; 关键词：variational preserving coordinates constraints adjoint satisfy manifold transformed preserve symplectic

Generalized spatiotemporal chaos synchronization of the Ginzburg-Landau equation: 《Chinese Physics B》2011年第12期130-142,共13页金英花徐振源; Project supported by the Fundamental Research Funds for the Central Universities (Grant No. JUSRP211A21);the National Natural Science Foundation of China (Grant No. 11002061); In this paper, the generalized synchronization of two unidirectionally coupled Ginzburg Landau equations is studied theoretically. It is demonstrated that the drive-response system has bounded attraction domain and co...; 关键词：generalized synchronization manifold Ginzburg Landau equation spatiotemporalchaos ATTRACTOR

Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems: 《Chinese Physics B》2011年第7期107-116,共10页袁志玲徐振源过榴晓; Project supported by the National Natural Science Foundation of China (Grant No.11002061); The existence of two kinds of generalized synchronization manifold in two unidirectionally coupled discrete stochastic dynamical systems is studied in this paper. When the drive system is chaotic and the modified resp...; 关键词：generalized synchronization manifold discrete stochastic dynamical system Lipschitzsmoothness HSlder continuity

A fast computing method to distinguish the hyperbolic trajectory of an non-autonomous system: 《Chinese Physics B》2011年第3期295-299,共5页贾蒙樊养余田维坚; supported by the National Natural Science Foundation of China (Grant No. 60872159); Attempting to find a fast computing method to DHT （distinguished hyperbolic trajectory）, this study first proves that the errors of the stable DHT can be ignored in normal direction when they are computed as the tra...; 关键词：Distinguished hyperbolic trajectory non-autonomous system fast computing method manifold

Hlder continuity of two types of bidirectionally coupled generalised synchronisation manifold被引量：1: 《Chinese Physics B》2011年第1期215-223,共9页过榴晓徐振源胡爱花; Project supported by the National Natural Science Foundation of China(Grants Nos.11002061 and 10901073);the Fundamental Research Funds for the Central Universities,China(Grant No.JUSRP10912); This paper studies the existence of HSlder continuity of bidireetionally coupled generalised synchronisation （GS）. Based on the slaving principle of synergetics and the modified system approach, it classifies the GS...; 关键词：bidirectionally coupled generalised synchronisation manifold Schauder fixed point theorem HSlder continuity

Stability for manifolds of equilibrium states of generalized Birkhoff system被引量：9: 《Chinese Physics B》2010年第8期85-87,共3页李彦敏梅凤翔; Project supported by the National Natural Science Foundation of China(Grant Nos.10772025,10932002 and 10972127);the Natural Science Foundation of Henan Province,China(Grant No.102300410144);the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics,China; Stability for the manifolds of equilibrium states of a generalized Birkhoff system is studied. A theorem for the stability of the manifolds of equilibrium states of the general autonomous system is used to the general...; 关键词：generalized Birkhoff system manifold of equilibrium states STABILITY

Shilnikov sense chaos in a simple three-dimensional system: 《Chinese Physics B》2010年第3期207-216,共10页王炜张琪昌田瑞兰; Project supported by the National Natural Science Foundation of China (Grant No. 10872141); The Shilnikov sense Smale horseshoe chaos in a simple 3D nonlinear system is studied. The proportional integral derivative （PID） controller is improved by introducing the quadratic and cubic nonlinearities into the ...; 关键词：CHAOS Shilnikov theorem homoclinic orbit MANIFOLD

The existence of generalized synchronisation of three bidirectionally coupled chaotic systems: 《Chinese Physics B》2010年第2期164-172,共9页胡爱花徐振源过榴晓; supported by the National Natural Science Foundation of China (Grant No. 60575038);the Youth Foundation of Jiangnan University (Grant No. 314000-52210756);the Program for Innovative Research Team of Jiangnan University; The existence of two types of generalized synchronisation is studied. The model considered here includes three bidirectionally coupled chaotic systems, and two of them denote the driving systems, while the rest stands...; 关键词：generalised synchronisation manifold compression fixed point exponential attractive property

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