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一类对称约束碰振系统的余维二擦边分岔的存在条件 被引量:1
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作者 徐洁琼 陈慧莹 +1 位作者 伍帅 袁泉 《振动与冲击》 EI CSCD 北大核心 2022年第5期273-279,共7页
类似光滑系统的余维二分岔的分类方法,余维二擦边分岔被划分为三种类型,分别是擦边点退化、退化环擦边(非双曲)以及两个擦边事件同时发生。分析了一个二自由度对称约束的碰撞振动系统,得到了该系统第二类余维二擦边分岔的存在条件。考... 类似光滑系统的余维二分岔的分类方法,余维二擦边分岔被划分为三种类型,分别是擦边点退化、退化环擦边(非双曲)以及两个擦边事件同时发生。分析了一个二自由度对称约束的碰撞振动系统,得到了该系统第二类余维二擦边分岔的存在条件。考虑双侧擦边周期运动,理论推导出双侧擦边周期运动的存在性条件;利用不连续映射方法,得出1/1/n碰撞周期运动发生鞍结分岔和倍周期分岔的解析表达式;结合双擦边周期运动的存在性条件和1/1/n碰撞周期运动的分岔条件,推导出发生余维二擦边分岔时满足的解析表达式,并以周期1运动为例,给出了余维二擦边分岔点的分布。 展开更多
关键词 对称约束碰振系统 不连续映射方法 余维二擦边分岔
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一类余维二向量场3-D解的存在性分析
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作者 邹勇 路淼 毕勤胜 《江苏大学学报(自然科学版)》 EI CAS 2003年第5期88-90,共3页
分析了一类余维二向量场的分岔过程 首先基于系统的规范型,得到了不同的定常解,然后针对不同的分岔解运用稳定性判据,分别确定其稳定性条件,在参数平面上定义了临界曲线 于是就将参数空间划分为不同的区域,不同的区域和不同的分岔解相对... 分析了一类余维二向量场的分岔过程 首先基于系统的规范型,得到了不同的定常解,然后针对不同的分岔解运用稳定性判据,分别确定其稳定性条件,在参数平面上定义了临界曲线 于是就将参数空间划分为不同的区域,不同的区域和不同的分岔解相对应,由此给出了该系统3 D解存在的必要条件及证明 继而根据不同的情形。 展开更多
关键词 3-D环面解 余维二 分岔 转迁集
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一类二自由度碰撞振动系统的余维二擦边分岔研究 被引量:4
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作者 伍帅 徐洁琼 +1 位作者 王子汉 袁泉 《振动与冲击》 EI CSCD 北大核心 2020年第20期113-120,共8页
当擦边分岔和光滑分岔同时发生时,非光滑系统会发生一类余维二擦边分岔。一类二自由度碰撞振动系统的此类余维二擦边分岔及余维二擦边点附近的动力学行为得到研究。讨论了擦边周期运动的存在性条件。利用不连续映射方法构造了1/n碰撞周... 当擦边分岔和光滑分岔同时发生时,非光滑系统会发生一类余维二擦边分岔。一类二自由度碰撞振动系统的此类余维二擦边分岔及余维二擦边点附近的动力学行为得到研究。讨论了擦边周期运动的存在性条件。利用不连续映射方法构造了1/n碰撞周期运动的全局庞加莱映射,并得出1/n碰撞周期运动的分岔条件。结合擦边周期运动条件和碰撞周期运动分岔条件推导出擦边分岔和光滑分岔同时发生时满足的解析表达式,并数值分析了不同周期下系统余维二擦边分岔点的分布情况。通过对比分别由全局庞加莱映射和原系统得到的余维二擦边点附近的分岔图,验证了理论分析的有效性。 展开更多
关键词 碰撞振动系统 不连续映射方法 余维二擦边分岔
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一类三维混沌系统的Bautin分岔分析 被引量:4
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作者 李群宏 谭洁燕 +1 位作者 席洁珍 丁学利 《动力学与控制学报》 2010年第1期39-42,共4页
研究一类具有三维自治常微分方程组形式的新的类Chen系统的余维二分岔.首先通过坐标变换,把原系统的平衡点平移到新系统的原点.通过对平移后所得新系统的Jacobi矩阵的分析,推导系统发生余维二Bautin分岔的参数条件.借助计算机对类Chen... 研究一类具有三维自治常微分方程组形式的新的类Chen系统的余维二分岔.首先通过坐标变换,把原系统的平衡点平移到新系统的原点.通过对平移后所得新系统的Jacobi矩阵的分析,推导系统发生余维二Bautin分岔的参数条件.借助计算机对类Chen系统进行数值仿真,得到该系统发生Bautin分岔的分岔图,与理论推导结果相符合,从而验证了理论推导的正确性. 展开更多
关键词 类chen系统 余维二 Bautin分岔 数值仿真
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Rossler系统的fold-Hopf分岔分析 被引量:3
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作者 李群宏 席洁珍 +1 位作者 丁学利 谭洁燕 《动力学与控制学报》 2009年第4期318-323,共6页
通过理论分析和数值仿真对混沌Rossler系统的余维二fold-Hopf分岔进行研究.先求得系统的平衡点,通过坐标变换,把系统的平衡点平移到原点.对经过坐标平移后所得新系统的Jacobi矩阵进行分析,给出系统发生余维二fold-Hopf分岔的参数条件.... 通过理论分析和数值仿真对混沌Rossler系统的余维二fold-Hopf分岔进行研究.先求得系统的平衡点,通过坐标变换,把系统的平衡点平移到原点.对经过坐标平移后所得新系统的Jacobi矩阵进行分析,给出系统发生余维二fold-Hopf分岔的参数条件.经验证,在所选取的参数条件下Rossler系统满足发生余维二fold-Hopf分岔的非退化条件和横截条件.因此,借助一个复变量,即可将原系统化到规范型形式,并得到相应的分岔图.选取符合理论推导的参数条件,数值仿真证实Rossler系统的确发生fold-Hopf分岔,从而验证了理论推导的正确性. 展开更多
关键词 ROSSLER系统 余维二 fold—Hopf分岔 数值仿真
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一类平面多项式系统的全局结构与分岔 被引量:4
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作者 脱秋菊 李学敏 《工程数学学报》 CSCD 北大核心 2007年第6期1056-1064,共9页
本文讨论一类余维2的高次退化的平面多项式系统的奇点分岔、闭轨分岔、奇闭轨分岔等局部分岔问题,利用Picard-Fuchs方程得到系统的全局分岔曲线,解决了一类比较复杂的多项式系统的全局结构与分岔问题。
关键词 余维二系统 局部分岔 全局分岔 全局结构
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一类余维2系统的分支
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作者 脱秋菊 《山东师范大学学报(自然科学版)》 CAS 2003年第4期13-15,共3页
讨论了一类 4次多项式系统的分支问题 .采用简化分支问题的典型方法 ,用正规形理论和中心流形定理将系统简化 ,讨论系统的奇点分支、闭轨分支 ,给出了系统的所有局部分支曲线 ,得到参数平面上向量场的轨线分布图 .
关键词 4次多项式系统 余维二 局部分支 正规形 中心流形定理 向量场 不动点 矩阵
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Ground-roll separation of seismic data based on morphological component analysis in twodimensional domain 被引量:2
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作者 徐小红 屈光中 +2 位作者 张洋 毕云云 汪金菊 《Applied Geophysics》 SCIE CSCD 2016年第1期116-126,220,共12页
Ground roll is an interference wave that severely degrades the signal-to-noise ratio of seismic data and affects its subsequent processing and interpretation.In this study,according to differences in morphological cha... Ground roll is an interference wave that severely degrades the signal-to-noise ratio of seismic data and affects its subsequent processing and interpretation.In this study,according to differences in morphological characteristics between ground roll and reflected waves,we use morphological component analysis based on two-dimensional dictionaries to separate ground roll and reflected waves.Because ground roll is characterized by lowfrequency,low-velocity,and dispersion,we select two-dimensional undecimated discrete wavelet transform as a sparse representation dictionary of ground roll.Because of a strong local correlation of the reflected wave,we select two-dimensional local discrete cosine transform as the sparse representation dictionary of reflected waves.A sparse representation model of seismic data is constructed based on a two-dimensional joint dictionary then a block coordinate relaxation algorithm is used to solve the model and decompose seismic record into reflected wave part and ground roll part.The good effects for the synthetic seismic data and application of real seismic data indicate that when using the model,strong-energy ground roll is considerably suppressed and the waveform of the reflected wave is effectively protected. 展开更多
关键词 Ground-roll suppression morphological component analysis sparse representation two-dimensional undecimated discrete wavelet transform two-dimensional local discrete cosine transform
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Competition of Spatial and Temporal Instabilities under Time Delay near Codimension-Two Turing-Hopf Bifurcations 被引量:2
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作者 王慧娟 任芝 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第8期339-344,共6页
Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequen... Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequency,theintrinsic wave vector,and the intensities of both Turing and Hopf modes.The application of appropriate time delaycan control the competition between the Turing and Hopf modes.Analysis shows that individual or both feedbacks canrealize the control of the transformation between the Turing and Hopf patterns.Two-dimensional numerical simulationsvalidate the analytical results. 展开更多
关键词 pattern formation reaction-diffusion system time delay
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CODIMENSION-TWO BIFURCATIONS ANALYSIS AND TRACKING CONTROL ON A DISCRETE EPIDEMIC MODEL 被引量:1
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作者 Na YI Qingling ZHANG Peng LIU Yanping LIN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1033-1056,共24页
In this paper, the dynamic behaviors of a discrete epidemic model with a nonlinear incidence rate obtained by Euler method are discussed, which can exhibit the periodic motions and chaotic behaviors under the suitable... In this paper, the dynamic behaviors of a discrete epidemic model with a nonlinear incidence rate obtained by Euler method are discussed, which can exhibit the periodic motions and chaotic behaviors under the suitable system parameter conditions. Codimension-two bifurcations of the discrete epidemic model, associated with 1:1 strong resonance, 1:2 strong resonance, 1:3 strong resonance and 1:4 strong resonance, are analyzed by using the bifurcation theorem and the normal form method of maps. Moreover, in order to eliminate the chaotic behavior of the discrete epidemic model, a tracking controller is designed such that the disease disappears gradually. Finally, numerical simulations are obtained by the phase portraits, the maximum Lyapunov exponents diagrams for two different varying parameters in 3-dimension space, the bifurcation diagrams, the computations of Lyapunov exponents and the dynamic response. They not only illustrate the validity of the proposed results, but also display the interesting and complex dynamical behaviors. 展开更多
关键词 CHAOS codimension-two bifurcations discrete epidemic model tracking control.
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Subvarieties of small codimension in smooth projective varieties
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作者 LI QiFeng 《Science China Mathematics》 SCIE CSCD 2015年第3期519-524,共6页
Let X C P^NC be an n-dimensional nondegenerate smooth projective variety containing an mdimensional subvariety Y.Assume that either m〉n/2 and X is a complete intersection or that m≥ N2.We show deg(X)|deg(Y)and ... Let X C P^NC be an n-dimensional nondegenerate smooth projective variety containing an mdimensional subvariety Y.Assume that either m〉n/2 and X is a complete intersection or that m≥ N2.We show deg(X)|deg(Y)and codim Y Y ≥codimPN X,where Y is the linear span of Y.These bounds are sharp.As an application,we classify smooth projective n-dimensional quadratic varieties swept out by m≥[n/2]+1 dimensional quadrics passing through one point. 展开更多
关键词 SUBVARIETIES small codimension DEGREE
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Detecting Shifted Double JPEG Compression Tampering Utilizing Both Intra-Block and Inter-Block Correlations 被引量:1
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作者 张玉金 李生红 王士林 《Journal of Shanghai Jiaotong university(Science)》 EI 2013年第1期7-16,共10页
Copy-paste forgery is a very common type of forgery in JPEG images.The tampered patch has always suffered from JPEG compression twice with inconsistent block segmentation.This phenomenon in JPEG image forgeries is cal... Copy-paste forgery is a very common type of forgery in JPEG images.The tampered patch has always suffered from JPEG compression twice with inconsistent block segmentation.This phenomenon in JPEG image forgeries is called the shifted double JPEG(SDJPEG) compression.Detection of SDJPEG compressed image patches can make crucial contribution to detect and locate the tampered region.However,the existing SDJPEG compression tampering detection methods cannot achieve satisfactory results especially when the tampered region is small.In this paper,an effective SDJPEG compression tampering detection method utilizing both intra-block and inter-block correlations is proposed.Statistical artifacts are left by the SDJPEG compression among the magnitudes of JPEG quantized discrete cosine transform(DCT) coefficients.Firstly,difference 2D arrays,which describe the differences between the magnitudes of neighboring JPEG quantized DCT coefficients on the intrablock and inter-block,are used to enhance the SDJPEG compression artifacts.Then,the thresholding technique is used to deal with these difference 2D arrays for reducing computational cost.After that,co-occurrence matrix is used to model these difference 2D arrays so as to take advantage of second-order statistics.All elements of these co-occurrence matrices are served as features for SDJPEG compression tampering detection.Finally,support vector machine(SVM) classifier is employed to distinguish the SDJPEG compressed image patches from the single JPEG compressed image patches using the developed feature set.Experimental results demonstrate the efficiency of the proposed method. 展开更多
关键词 passive image forensics copy-paste forgery shifted double JPEG (SDJPEG) compression co-occurrence matrix support vector machine (SVM)
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Numerical simulation of heat transfer process in cement grate cooler based on dynamic mesh technique 被引量:6
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作者 SHAO Wei CUI Zheng +1 位作者 WANG NaiHua CHENG Lin 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第7期1065-1070,共6页
A grate cooler is key equipment in quenching clinker and recovering heat in cement production. A two-dimensional numerical model based on a 5000 t/d cement plant is proposed to for a study on the gas-solid coupled hea... A grate cooler is key equipment in quenching clinker and recovering heat in cement production. A two-dimensional numerical model based on a 5000 t/d cement plant is proposed to for a study on the gas-solid coupled heat transfer process between the cooling air and clinker in a grate cooler. In this study, we use the Fluent dynamic mesh technique and porous media model through which the transient temperature distribution with the clinker motion process and steady temperature and pressure distribution are obtained. We validate the numerical model with the operating data of the cooling air outlet temperature. Then, we discuss the amount of mid-temperature air outlet and average diameter of clinker particles, which affect the heat effective utilization and cooling air pressure drop in clinker layer. We found that after adding one more mid-temperature air outlet, the average temperature of the air flowing into the heat recovery boiler increases by 29.04℃ and the ratio of heat effective utilization increases by 5.3%. This means heat recovery is more effective on adding one more mid-temperature air outlet. Further, the smaller the clinker particles, the more is the pressure drop in clinker layer; thus more power consumption is needed by the cooling fan. 展开更多
关键词 grate cooler gas-solid heat transfer dynamic mesh numerical simulation
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