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On global behavior of the system of rational difference equations x_(n+1)=p+y_(n-k)/x_n,y_(n+1)=q+x_(n-k)/y_n 被引量:1
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作者 Xia An1,Tai-xiang Sun2,Yan-fang Zhang11. Department of Basic Courses,Institute of Disaster Prevention Science and Technology,Beijing 065201 2. Department of Mathematics,Guangxi University,Nanning 530004,China. 《Journal of Pharmaceutical Analysis》 SCIE CAS 2009年第3期189-191,共3页
In this paper,we investigate the boundedness character,the global attractivity and the periodic nature of the system of rational difference equations:x=p+y/x,y=q+x/y,n=0,1,2…,where p>0,q>0,k∈{1,2,…} and the i... In this paper,we investigate the boundedness character,the global attractivity and the periodic nature of the system of rational difference equations:x=p+y/x,y=q+x/y,n=0,1,2…,where p>0,q>0,k∈{1,2,…} and the initial values xi,yi∈(0,∞),i=-k,-k+1,…,0. Some new results are obtained. 展开更多
关键词 difference equation global behavior equilibrium solution boundedness
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SOME IMPROVED PROJECTED QUASI-NEWTON ALGORITHMS AND THEIR CONVERGENCE Ⅰ.METHODS AND GLOBAL BEHAVIOR
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作者 张建中 朱德通 侯少频 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第1期33-45,共13页
In this paper we improve the two versions of the two-sided projected quasi-Newton method-onewas proposed by Nocedal & Overton in [1] and the other was discussed in our previous paper, byintroducing three different... In this paper we improve the two versions of the two-sided projected quasi-Newton method-onewas proposed by Nocedal & Overton in [1] and the other was discussed in our previous paper, byintroducing three different merit functions to make inexact one-dimensional searches. It is shown that these improved quasi-Newton algorithms have gained global convergence propertywhich is not possessed by the original two algorithms. 展开更多
关键词 SOME IMPROVED PROJECTED QUASI-NEWTON ALGORITHMS AND THEIR CONVERGENCE METHODS AND global behavior
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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING 被引量:3
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作者 张映辉 吴国春 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期424-434,共11页
We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical s... We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods. 展开更多
关键词 Euler equations with damping global existence asymptotic behavior
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GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTION TO REACTING FLOW MODEL WITH BOUNDARY EFFECT
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作者 李海梁 《Acta Mathematica Scientia》 SCIE CSCD 2000年第1期104-112,共9页
The initial boundary value problem (IBVP) for the 3×3 hyperbolic system of reacting flow with source term proposed by R.J.LeVeque and others (see [8]) is considered.It is shown, in the present paper, that if the ... The initial boundary value problem (IBVP) for the 3×3 hyperbolic system of reacting flow with source term proposed by R.J.LeVeque and others (see [8]) is considered.It is shown, in the present paper, that if the initial data are a suitable perturbation of a shiftcd shock profile which is suitably away from the boundary, then there exists a unique smooth solution in R2+ to the IBVP of the 3×3 hyperbolic system, which tends to another shifted shock profile of this system as t →∞. 展开更多
关键词 Initial boundary value relaxaction reacting flow global existence large time behavior
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Global Existence, Asympotic Behavior and Uniform Attractors for Thermoelastic Systems
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作者 LI Jiao-long QIN Yu-ming 《Chinese Quarterly Journal of Mathematics》 2017年第3期221-237,共17页
In this paper, we first establish the global existence and asymptotic behavior of solutions by multiplicative techniques, then further prove the existence of a uniform attractor for a thermoelastic system by using the... In this paper, we first establish the global existence and asymptotic behavior of solutions by multiplicative techniques, then further prove the existence of a uniform attractor for a thermoelastic system by using the method of uniform contractive functions. We finally investigate an alternative result of solutions for the semilinear thermoelastic systems by virtue of the semigroup method. 展开更多
关键词 thermoelastic systems global existence asymptotic behavior uniform attractors semigroup methods
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Asymptotic Behavior of Global Solution for Nonlinear Generalized Euler-Possion-Darboux Equation
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作者 LIANGBao-song CHENZhen 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期247-252,共6页
J. L Lions and W. A. Stranss [1] have proved the existence of a global solution of the initial boundary value problem for nonlinear generalized Euler-Possion-Darboux equation. In this paper we are going to investigate... J. L Lions and W. A. Stranss [1] have proved the existence of a global solution of the initial boundary value problem for nonlinear generalized Euler-Possion-Darboux equation. In this paper we are going to investigate the asymptotic behavior of the global solution by a difference inequality. 展开更多
关键词 非线性偏微分方程 孤波解 多重解 渐近性
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Asymptotic Behavior of Global Smooth Solution of 1-D Quasineutral Drift Diffusion Model for Semiconductors
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作者 CHEN Shou-xin HAN Xiao-sen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第3期385-396,共12页
在这份报纸,我们学习半导体的 1-d quasineutral 飘移散开模型的起始的边界价值问题的全球性光滑的答案的 asymptotic 行为。我们证明这个问题的光滑的答案(到平衡的结束) 收敛到唯一的静止答案。
关键词 准中性漂移扩散模型 整体存在性 唯一性 渐近行为
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Flocking behavior with multiple leaders and global trajectory
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作者 李猛 梁加红 李石磊 《Journal of Central South University》 SCIE EI CAS 2014年第6期2324-2333,共10页
Aiming at the group of autonomous agents consisting of multiple leader agents and multiple follower ones,a flocking behavior method with multiple leaders and a global trajectory was proposed.In this flocking method,th... Aiming at the group of autonomous agents consisting of multiple leader agents and multiple follower ones,a flocking behavior method with multiple leaders and a global trajectory was proposed.In this flocking method,the group leaders can attain the information of the global trajectory,while each follower can communicate with its neighbors and corresponding leader but does not have global knowledge.Being to a distributed control method,the proposed method firstly sets a movable imaginary point on the global trajectory to ensure that the center and average velocity of the leader agents satisfy the constraints of the global trajectory.Secondly,a two-stage strategy was proposed to make the whole group satisfy the constraints of the global trajectory.Moreover,the distance between the center of the group and the desired trajectory was analyzed in detail according to the number ratio of the followers to the leaders.In this way,on one hand,the agents of the group emerge a basic flocking behavior; on the other hand,the center of the group satisfies the constraints of global trajectory.Simulation results demonstrate the effectiveness of the proposed method. 展开更多
关键词 行为方式 轨道 领导人 群聚 群体行为 分布式控制 领导者 轨迹信息
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Global Existence and Large Time Asymptotic Behavior of Strong Solution to the Cauchy Problem of 2D Density-Dependent Boussinesq Equations of Korteweg Type
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作者 Qi Zhang 《Advances in Pure Mathematics》 2021年第4期346-368,共23页
In this paper, we study the Cauchy problem of the density-dependent Boussinesq equations of Korteweg type on the whole space with a vacuum. It is proved that there exists a unique strong solution for the two-dimension... In this paper, we study the Cauchy problem of the density-dependent Boussinesq equations of Korteweg type on the whole space with a vacuum. It is proved that there exists a unique strong solution for the two-dimensional Cauchy problem established that the initial density and the initial temperature decay not extremely slow. Particularly, it is allowed to be arbitrarily large for the initial data and vacuum states for the initial density, even including the compact support. Moreover, when the density depends on the Korteweg term with the viscosity coefficient and capillary coefficient, we obtain a consistent priority estimate by the energy method, and extend the local strong solutions to the global strong solutions. Finally, when the pressure and external force are not affected, we deform the fluid models of Korteweg type, we can obtain the large time decay rates of the gradients of velocity, temperature and pressure. 展开更多
关键词 Incompressible Boussinesq Equation Korteweg Type global Strong Solutions Large Time behavior Vacuum
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ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS
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作者 冯跃红 王术 李新 《Acta Mathematica Scientia》 SCIE CSCD 2015年第5期955-969,共15页
This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under ... This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ||·||H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ||·||H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. 展开更多
关键词 bipolar compressible Navier-Stokes-Maxwell system PLASMAS global smooth solutions energy estimates large-time behavior
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Parametric Study on the Behavior of An Innovative Subsurface Tension Leg Platform in Ultra-Deep Water 被引量:4
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作者 ZHEN Xing-wei HUANG Yi 《China Ocean Engineering》 SCIE EI CSCD 2017年第5期589-597,共9页
This study focuses on a new technology of Subsurface Tension Leg Platform (STLP), which utilizes the shallow- water rated well completion equipment and technology for the development of large oil and gas fields in u... This study focuses on a new technology of Subsurface Tension Leg Platform (STLP), which utilizes the shallow- water rated well completion equipment and technology for the development of large oil and gas fields in ultra-deep water (UDW). Thus, the STLP concept offers attractive advantages over conventional field development concepts. STLP is basically a pre-installed Subsurface Sea-star Platform (SSP), which supports rigid risers and shallow-water rated well completion equipment. The paper details the results of the parametric study on the behavior of STLP at a water depth of 3000 m. At first, a general description of the STLP configuration and working principle is introduced. Then, the numerical models for the global analysis of the STLP in waves and current are presented. After that, extensive parametric studies are carried out with regarding to SSP/tethers system analysis, global dynamic analysis and riser interference analysis. Critical points are addressed on the mooring pattern and riser arrangement under the influence of ocean current, to ensure that the requirements on SSP stability and riser interference are well satisfied. Finally, conclusions and discussions are made. The results indicate that STLP is a competitive well and riser solution in up to 3000 m water depth for offshore petroleum production. 展开更多
关键词 subsurface tension leg platform parametric study global behavior ultra-deep water
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SPEN基因变异致Radio-Tartaglia综合征一例报告并文献复习
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作者 华玉 陈先睿 黄建琪 《罕少疾病杂志》 2024年第4期8-9,11,共3页
目的分析Radio-Tartaglia综合征(OMIM#619312)的临床表现及遗传学特征。方法回顾分析1例确诊为Radio-Tartaglia综合征患儿(OMIM#619312)的临床和分子遗传学检测资料。并以“Radio-Tartaglia syndrome”或“Radio-Tartaglia综合征”或“S... 目的分析Radio-Tartaglia综合征(OMIM#619312)的临床表现及遗传学特征。方法回顾分析1例确诊为Radio-Tartaglia综合征患儿(OMIM#619312)的临床和分子遗传学检测资料。并以“Radio-Tartaglia syndrome”或“Radio-Tartaglia综合征”或“SPEN gene”或“SPEN基因”为关键词在PUBMED、万方数据库、维普检索平台进行文献复习。结果患儿,男,4岁,主要表现为全面发育迟缓,语言延迟。头围较小,窄额头,高低眉,睑裂倾斜,高弓腭。全外显子基因测序显示患儿SPEN基因(Chr1:15932638)新发(De novo)可解释患者表型的致病性变异NM_015001.3:exon11:c.6398T>A(p.Leu2133*),结合临床表现和基因检测结果,确诊为Radio-Tartaglia综合征。检索到相关文献16篇,SPEN变异88例,涉及错位变异、缺失变异、重复变异和插入变异。结论本例研究发现了Radio-Tartaglia综合征的新的SPEN基因变异点c.6398T>A(p.Leu2133*)。临床诊疗中,全身发育迟缓伴有智力障碍、言语迟缓和各种行为异常伴颅面部畸形的情况,可考虑此病,应建议家属早日进行基因检测以明确诊断,以便及时进行多学科综合干预,以促进患儿全面发育。 展开更多
关键词 Radio-Tartaglia综合征 SPEN基因 颅面部畸形 全面发育迟缓 语言延迟 综合康复训练
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Experimental study on hysteretic behavior of prestressed truss concrete composite beams 被引量:5
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作者 Zheng Wenzhong,Wang Kun~(++) and Zhang Geming~§School of Civil Engineering,Harbin Institute of Technology,Harbin 150090,China ~+Changjiang Scholars Professor ++ PhD Student 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2010年第1期65-74,共10页
This paper describes an experimental study of the hysteretic behavior of prestressed truss concrete composite beams (PTCCBs) under cyclic loading. Five beam models were designed and tested, in which the testing para... This paper describes an experimental study of the hysteretic behavior of prestressed truss concrete composite beams (PTCCBs) under cyclic loading. Five beam models were designed and tested, in which the testing parameters include the global reinforcement index β0, the prestress level 2 and the ratio of stirrup ρsv in the potential plastic hinge zones. Based on the test results, the failure mode and hysteretic behavior of the tested models are obtained. In addition, the P-△ and sectional M-φ hysteretic models for the PTCCBs at the midspan are established. The P-△ hysteretic model shows good agreement with the test results. 展开更多
关键词 PRESTRESS TRUSS composite beam hysteretic behavior global reinforcement index prestress level
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Seeker optimization algorithm:a novel stochastic search algorithm for global numerical optimization 被引量:14
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作者 Chaohua Dai Weirong Chen +1 位作者 Yonghua Song Yunfang Zhu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期300-311,共12页
A novel heuristic search algorithm called seeker op- timization algorithm (SOA) is proposed for the real-parameter optimization. The proposed SOA is based on simulating the act of human searching. In the SOA, search... A novel heuristic search algorithm called seeker op- timization algorithm (SOA) is proposed for the real-parameter optimization. The proposed SOA is based on simulating the act of human searching. In the SOA, search direction is based on empir- ical gradients by evaluating the response to the position changes, while step length is based on uncertainty reasoning by using a simple fuzzy rule. The effectiveness of the SOA is evaluated by using a challenging set of typically complex functions in compari- son to differential evolution (DE) and three modified particle swarm optimization (PSO) algorithms. The simulation results show that the performance of the SOA is superior or comparable to that of the other algorithms. 展开更多
关键词 swarm intelligence global optimization human searching behaviors seeker optimization algorithm.
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Global existence and decay of solutions for the generalized bad Boussinesq equation 被引量:3
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作者 Hatice Taskesen Necat Polat Abdulkadir Ertas 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2013年第3期253-268,共16页
In this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically... In this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically to zero as (1 + t)-(1/7) when t approaches to infinity, provided the initial data are sufficiently small and regular. 展开更多
关键词 bad Boussinesq equation global existence asymptotic behavior oscillatory integral.
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GLOBAL BLOW-UP FOR A HEAT SYSTEM WITH LOCALIZED SOURCES AND ABSORPTIONS 被引量:1
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作者 Chen Youpeng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第2期213-225,共13页
In this paper there are established the global existence and finite time blow-up results of nonnegative solution for the following parabolic system ut = △u + v^P(x0, t) - au^τ, x ∈ Ω, t 〉 0, △u + v^P(x0, t... In this paper there are established the global existence and finite time blow-up results of nonnegative solution for the following parabolic system ut = △u + v^P(x0, t) - au^τ, x ∈ Ω, t 〉 0, △u + v^P(x0, t) - bu^τ, x ∈ Ω, t 〉 0 subject to homogeneous Dirichlet conditions and nonnegative initial data, where x0 ∈ Ω is a fixed point, p, q, r, s ≥ 1 and a, b 〉 0 are constants. In the situation when nonnegative solution (u, v) of the above problem blows up in finite time, it is showed that the blow-up is global and this differs from the local sources case. Moreover, for the special case r = s = 1, lim t→T*(T*-t)^p+1/pq-1u(x,t)=(p+1)^1/pq-1(q+1)^p/pq-1(pq-1)^-p+1/pq-1, lim t→T*(T*-t)^q+1/pq-1u(x,t)=(p+1)^1/pq-1(q+1)^p/pq-1(pq-1)^-p+1/pq-1 are obtained uniformly on compact subsets of/2, where T* is the blow-up time. 展开更多
关键词 heat system localized source absorption global blow-up asymptotic behavior
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GLOBAL EXISTENCE OF SOLUTIONS FOR QUADRATIC QUASI-LINEAR KLEIN-GORDON SYSTEMS IN ONE SPACE DIMENSION 被引量:2
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作者 薛儒英 方道元 《Acta Mathematica Scientia》 SCIE CSCD 2005年第2期340-358,共19页
Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a conv... Consider quadratic quasi-linear Klein-Gordon systems with eventually different masses for small, smooth, compactly supported Cauchy data in one space dimension. It is proved that the global existence holds when a convenient null condition is satisfied by nonlinearities. 展开更多
关键词 Klein-Gordon equation global existence asymptotic behavior
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ASYMPTOTIC BEHAVIOR TOWARD THE RAREFACTION WAVE FOR SOLUTIONS OF RATE-TYPE VISCOELASTIC SYSTEM WITH BOUNDARY EFFECT
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作者 何成 李海梁 《Acta Mathematica Scientia》 SCIE CSCD 2000年第2期245-255,共11页
The initial boundary value problems for the system of rate-type viscoelasticityis considered in the present paper.It is shown that if the initial data are a small perturbationof a forward smooth rarefaction wave, then... The initial boundary value problems for the system of rate-type viscoelasticityis considered in the present paper.It is shown that if the initial data are a small perturbationof a forward smooth rarefaction wave, then there is a global solutions to the system, whichtends to the rarefaction wave time-asymptotically. 展开更多
关键词 Initial boundary value problems RELAXATION global existence asymptotic behavior
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Asymptotic Behavior of the Solutions to the One-Dimensional Nonisentropic Hydrodynamic Model for Semiconductors
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作者 LI Yeping 《Wuhan University Journal of Natural Sciences》 CAS 2008年第2期141-147,共7页
In this paper, the asymptotic behavior of the global smooth solutions to the Cauchy problem for the one-dimensional nonisentropic Euler-Poisson (or full hydrodynamic) model for semiconductors, where the energy equat... In this paper, the asymptotic behavior of the global smooth solutions to the Cauchy problem for the one-dimensional nonisentropic Euler-Poisson (or full hydrodynamic) model for semiconductors, where the energy equation with non-zero thermal conductivity coefficient are contained, is discussed. The global existence of smooth solutions for the Cauchy problem with small perturbed initial data is proved. In particular, that the solutions converge to the corresponding stationary solutions exponentially fast as t → ∞ is showed. 展开更多
关键词 asymptotic behavior global smooth solutions nonisentropic hydrodynamic model SEMICONDUCTORS
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基于多粒度表征学习的加密恶意流量检测 被引量:1
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作者 谷勇浩 徐昊 张晓青 《计算机学报》 EI CAS CSCD 北大核心 2023年第9期1888-1899,共12页
现有加密恶意流量检测方法中,基于统计特征的方法存在特征提取依赖专家经验和特征之间相互独立的问题,基于原始输入的机器学习和深度学习方法存在信息不全、随机字段、单一粒度的问题,对加密流量交互行为的语义表征不足.为解决上述问题... 现有加密恶意流量检测方法中,基于统计特征的方法存在特征提取依赖专家经验和特征之间相互独立的问题,基于原始输入的机器学习和深度学习方法存在信息不全、随机字段、单一粒度的问题,对加密流量交互行为的语义表征不足.为解决上述问题,本文提出一种基于多粒度表征学习的加密恶意流量检测方法MGREL(MultiGranularity REpresentation Learning).该方法将加密会话分为字段级和包级两个粒度分别处理.在字段级粒度中,基于词向量进行局部行为建模,提取握手报文并选取关键字段,缓解信息不全导致的语义缺失问题,将字段的字节值表示为词向量,同时增加报文类型与握手类型作为位置前缀,解决位置语义缺失的问题,采用Multi-head Attention计算字段间的交互,再通过Bi LSTM得到报文级语义;在包级粒度中,基于时空进行全局行为建模,提取包的时空状态信息并采用LSTM模型得到流级语义.将两个粒度下得到的局部行为语义和全局行为语义融合,得到加密流量的表征,解决单一粒度表征能力不足的问题.最后,通过对比实验验证本文所提方法MGREL在检测加密恶意流量方面表现最好. 展开更多
关键词 加密恶意流量检测 多粒度表征学习 局部行为 全局行为 位置语义
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