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融合差分进化和Sine混沌的改进粒子群算法 被引量:1
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作者 马乐杰 邹德旋 +2 位作者 李灿 邵莹莹 杨志龙 《计算机工程与应用》 CSCD 北大核心 2024年第19期80-96,共17页
将差分进化与Sine混沌相结合,提出一种改进的粒子群算法。利用Sine混沌映射对初始种群进行优化,提高了收敛速度;该算法通过引入非同步变化的学习因子的速度更新公式,引入随机惯性权重,使算法能够更好地兼顾全局搜索与局部优化;借鉴差分... 将差分进化与Sine混沌相结合,提出一种改进的粒子群算法。利用Sine混沌映射对初始种群进行优化,提高了收敛速度;该算法通过引入非同步变化的学习因子的速度更新公式,引入随机惯性权重,使算法能够更好地兼顾全局搜索与局部优化;借鉴差分进化算法中的交叉操作,采用淘汰机制随机搜索策略,提高算法的全局搜索能力,提高算法收敛速度。为了验证融合差分进化和Sine混沌的改进粒子群算法(improved particle swarm optimization algorithm,IPSO)的性能,与基于压缩学习因子的粒子群算法(yield-based particle swarm optimization,YPSO)、自适应加权粒子群算法(self-adaptive particle swarm optimization,SPSO)等PSO相关算法以及蜘蛛蜂优化算法(spider wasp optimization,SWO)、能量谷算法(energy valley algorithm,EVA)等2023年最新算法相比较,验证融合差分进化和Sine混沌的改进粒子群算法(IPSO)的有效性。在不同维度下解决12个常用基准函数,对12个测试函数进行实验,并与其他的几种算法进行比较,实验结果表明,改进后的PSO算法收敛速度快,收敛精度高。 展开更多
关键词 粒子群优化算法 sine映射 差分进化算法 交叉操作 随机搜索策略
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基于耦合的Henon和Sine映射及彩色图像加密
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作者 牛士铭 薛茹 《科学技术与工程》 北大核心 2024年第16期6809-6820,共12页
针对现有混沌映射模型的混沌空间小及混沌能力弱的问题,通过耦合二维Henon混沌映射模型和Sine混沌映射模型,设计一种新的二维混沌映射模型,通过耦合Sine混沌映射模型和Logistic混沌映射模型,设计一种新的一维混沌映射模型。针对使用单... 针对现有混沌映射模型的混沌空间小及混沌能力弱的问题,通过耦合二维Henon混沌映射模型和Sine混沌映射模型,设计一种新的二维混沌映射模型,通过耦合Sine混沌映射模型和Logistic混沌映射模型,设计一种新的一维混沌映射模型。针对使用单一置乱方法进行图像加密时安全性能不高的问题,通过使用Lorenz映射设计一种随机选择置乱算法的方法。使用设计的两种混沌映射及置乱选择方法,提出一种彩色图像加密方案。仿真实验结果表明:所提方法具有较大的置乱范围、较高的安全性和良好的图像加密效果,对常见的攻击有较强的抵抗力,且易于实现。 展开更多
关键词 改进型Henon映射 改进型sine映射 图像加密 置乱 混沌
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无界区域上耦合sine-Gordon方程组的分裂局部人工边界条件
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作者 谢冰 台怡农 李宏伟 《齐鲁工业大学学报》 CAS 2024年第4期72-80,共9页
研究了在等离子体物理学中有广泛应用的无界区域上耦合sine-Gordon方程组的数值解法,由于物理区域的无界性和方程组的非线性,使得常用的数值方法不能直接用于求解此问题。利用人工边界方法和算子分裂方法设计了合理的分裂局部人工边界条... 研究了在等离子体物理学中有广泛应用的无界区域上耦合sine-Gordon方程组的数值解法,由于物理区域的无界性和方程组的非线性,使得常用的数值方法不能直接用于求解此问题。利用人工边界方法和算子分裂方法设计了合理的分裂局部人工边界条件,解决了物理区域的无界性和方程组的非线性给数值计算带来的困难。无界区域上的Cauchy问题简化为有界区域上的初边值问题,从而可以利用有限差分方法进行数值求解。最后,通过数值算例验证了所设计边界条件的精确性和有效性,并模拟了多孤立波的传播。 展开更多
关键词 耦合sine-Gordon方程组 人工边界方法 算子分裂方法 无界区域 有限差分法
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STARLIKENESS ASSOCIATED WITH THE SINE HYPERBOLIC FUNCTION
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作者 Mohsan RAZA Hadiqa ZAHID Jinlin LIU 《Acta Mathematica Scientia》 SCIE CSCD 2024年第4期1244-1270,共27页
Let q_(λ)(z)=1+λsinh(ζ),0<λ<1/sinh(1)be a non-vanishing analytic function in the open unit disk.We introduce a subclass S^(*)(q_(λ))of starlike functions which contains the functions f such that zf'/f i... Let q_(λ)(z)=1+λsinh(ζ),0<λ<1/sinh(1)be a non-vanishing analytic function in the open unit disk.We introduce a subclass S^(*)(q_(λ))of starlike functions which contains the functions f such that zf'/f is subordinated by q_(λ).We establish inclusion and radii results for the class S^(*)(q_(λ))for several known classes of starlike functions.Furthermore,we obtain sharp coefficient bounds and sharp Hankel determinants of order two for the class S^(*)(q_(λ)).We also find a sharp bound for the third Hankel determinant for the caseλ=1/2. 展开更多
关键词 starlike functions sine hyperbolic functions radii problems coefficient bounds Hankel determinants
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Bayesian and Non-Bayesian Analysis for the Sine Generalized Linear Exponential Model under Progressively Censored Data
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作者 Naif Alotaibi A.S.Al-Moisheer +2 位作者 Ibrahim Elbatal Mohammed Elgarhy Ehab M.Almetwally 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第9期2795-2823,共29页
This article introduces a novel variant of the generalized linear exponential(GLE)distribution,known as the sine generalized linear exponential(SGLE)distribution.The SGLE distribution utilizes the sine transformation ... This article introduces a novel variant of the generalized linear exponential(GLE)distribution,known as the sine generalized linear exponential(SGLE)distribution.The SGLE distribution utilizes the sine transformation to enhance its capabilities.The updated distribution is very adaptable and may be efficiently used in the modeling of survival data and dependability issues.The suggested model incorporates a hazard rate function(HRF)that may display a rising,J-shaped,or bathtub form,depending on its unique characteristics.This model includes many well-known lifespan distributions as separate sub-models.The suggested model is accompanied with a range of statistical features.The model parameters are examined using the techniques of maximum likelihood and Bayesian estimation using progressively censored data.In order to evaluate the effectiveness of these techniques,we provide a set of simulated data for testing purposes.The relevance of the newly presented model is shown via two real-world dataset applications,highlighting its superiority over other respected similar models. 展开更多
关键词 sine G family generalized linear failure rate progressively censored data MOMENTS maximum likelihood estimation Bayesian estimation simulation
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Sine oculis homeobox homolog family function in gastrointestinal cancer:Progression and comprehensive analysis
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作者 Yang-Zheng Lan Zheng Wu +3 位作者 Wen-Jia Chen Xin-Ning Yu Hua-Tao Wu Jing Liu 《World Journal of Clinical Oncology》 2025年第1期10-24,共15页
The sine oculis homeobox homolog(SIX)family,a group of transcription factors characterized by a conserved DNA-binding homology domain,plays a critical role in orchestrating embryonic development and organogenesis acro... The sine oculis homeobox homolog(SIX)family,a group of transcription factors characterized by a conserved DNA-binding homology domain,plays a critical role in orchestrating embryonic development and organogenesis across various organisms,including humans.Comprising six distinct members,from SIX1 to SIX6,each member contributes uniquely to the development and differentiation of diverse tissues and organs,underscoring the versatility of the SIX family.Dysregulation or mutations in SIX genes have been implicated in a spectrum of developmental disorders,as well as in tumor initiation and progression,highlighting their pivotal role in maintaining normal developmental trajectories and cellular functions.Efforts to target the transcriptional complex of the SIX gene family have emerged as a promising strategy to inhibit tumor development.While the development of inhibitors targeting this gene family is still in its early stages,the significant potential of such interventions holds promise for future therapeutic advances.Therefore,this review aimed to comprehensively explore the advancements in understanding the SIX family within gastrointestinal cancers,focusing on its critical role in normal organ development and its implications in gastrointestinal cancers,including gastric,pancreatic,colorectal cancer,and hepatocellular carcinomas.In conclusion,this review deepened the understanding of the functional roles of the SIX family and explored the potential of utilizing this gene family for the diagnosis,prognosis,and treatment of gastrointestinal cancers. 展开更多
关键词 sine oculis homeobox homolog Gastrointestinal cancer Transcription factor Development Regulation Diagnosis THERAPEUTICS
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非线性sine-Gordon方程的连续时空混合有限元方法
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作者 王媋瑗 李宏 何斯日古楞 《应用数学和力学》 CSCD 北大核心 2024年第4期490-501,共12页
该文将混合有限元方法和连续时空有限元方法相结合,构造了sine-Gordon方程的连续时空混合有限元离散格式,引入独立变量p=u_(t)来求解,并将时间变量和空间变量都用有限元方法处理.此格式可以将方程降阶,降低有限元空间的光滑性要求,同时... 该文将混合有限元方法和连续时空有限元方法相结合,构造了sine-Gordon方程的连续时空混合有限元离散格式,引入独立变量p=u_(t)来求解,并将时间变量和空间变量都用有限元方法处理.此格式可以将方程降阶,降低有限元空间的光滑性要求,同时在时间和空间两个方向都能发挥有限元方法的优势,获得时空高精度的数值解.理论分析中严格证明了数值解的稳定性,给出了u和p的误差估计.最后通过数值算例的结果展示了格式的有效性和可行性. 展开更多
关键词 sine-GORDON方程 连续时空混合有限元 稳定性 误差估计
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Utilization of Logistical Regression to the Modified Sine-Gordon Model in the MST Experiment
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作者 Nizar J. Alkhateeb Hameed K. Ebraheem Eman M. Al-Otaibi 《Open Journal of Modelling and Simulation》 2024年第2期43-58,共16页
In this paper, a logistical regression statistical analysis (LR) is presented for a set of variables used in experimental measurements in reversed field pinch (RFP) machines, commonly known as “slinky mode” (SM), ob... In this paper, a logistical regression statistical analysis (LR) is presented for a set of variables used in experimental measurements in reversed field pinch (RFP) machines, commonly known as “slinky mode” (SM), observed to travel around the torus in Madison Symmetric Torus (MST). The LR analysis is used to utilize the modified Sine-Gordon dynamic equation model to predict with high confidence whether the slinky mode will lock or not lock when compared to the experimentally measured motion of the slinky mode. It is observed that under certain conditions, the slinky mode “locks” at or near the intersection of poloidal and/or toroidal gaps in MST. However, locked mode cease to travel around the torus;while unlocked mode keeps traveling without a change in the energy, making it hard to determine an exact set of conditions to predict locking/unlocking behaviour. The significant key model parameters determined by LR analysis are shown to improve the Sine-Gordon model’s ability to determine the locking/unlocking of magnetohydrodyamic (MHD) modes. The LR analysis of measured variables provides high confidence in anticipating locking versus unlocking of slinky mode proven by relational comparisons between simulations and the experimentally measured motion of the slinky mode in MST. 展开更多
关键词 Madison Symmetric Torus (MST) Magnetohydrodyamic (MHD) sine-GORDON TOROIDAL Dynamic Modelling Reversed Field Pinch (RFP) Logistical Regression
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Sine-Gordon方程二重网格方法的高精度分析
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作者 王芬玲 《许昌学院学报》 CAS 2023年第5期8-13,共6页
讨论了Sine-Gordon方程的二重网格有限元方法,建立了EQ_(1)^(rot)非协调元全离散逼近格式.直接利用EQ_(1)^(rot)元的插值算子和该元的性质,并对非线性项进行线性化处理,导出了能量模意义下的超逼近结果.更进一步利用插值后处理技术得到... 讨论了Sine-Gordon方程的二重网格有限元方法,建立了EQ_(1)^(rot)非协调元全离散逼近格式.直接利用EQ_(1)^(rot)元的插值算子和该元的性质,并对非线性项进行线性化处理,导出了能量模意义下的超逼近结果.更进一步利用插值后处理技术得到整体超收敛结果. 展开更多
关键词 sine-GORDON方程 EQ_(1)^(rot)非协调元 二重网格方法 超逼近和超收敛
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基于SINE-RIPs标记的苏姜猪群体结构和遗传多样性分析 被引量:1
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作者 迟诚林 倪黎纲 +4 位作者 陶勇 陈才 周春宝 宋成义 王宵燕 《中国畜牧杂志》 CAS CSCD 北大核心 2023年第2期147-154,共8页
为了探究苏姜猪群体遗传结构与遗传多样性,本研究采用36个SINE-RIPs(SINE Retrotransposon Insertion Polymorphisms)标记检测苏姜猪育种核心群体的基因多态性,并分析群体的遗传参数,构建UPGMA(Unweightedpair Group Method Arithmeticm... 为了探究苏姜猪群体遗传结构与遗传多样性,本研究采用36个SINE-RIPs(SINE Retrotransposon Insertion Polymorphisms)标记检测苏姜猪育种核心群体的基因多态性,并分析群体的遗传参数,构建UPGMA(Unweightedpair Group Method Arithmeticmean)系统发育树。结果发现,苏姜猪群体中存在29个SINE-RIPs多态性,UPGMA系统发育树将苏姜猪群体分为10个家系,家系的PIC范围为0.1883~0.2371,Fst的范围为0.011 7~0.299 1,Fis的范围为-0.902 0~-0.049 3,说明苏姜猪群体存在丰富的遗传多样性,群体近交程度较低。该研究结果为苏姜猪的持续选育和开发利用提供参考依据。 展开更多
关键词 反转录转座子插入多态 苏姜猪 sine 群体结构
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基于Logistic-Sine-Cosine映射的图像加密算法 被引量:3
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作者 黄佳鑫 赵凯悦 +1 位作者 李佳文 李珊珊 《科学技术与工程》 北大核心 2023年第27期11713-11721,共9页
为了提高数字图像加密的速度和算法的安全性,提出了基于Fridrich框架的加密算法。通过Fisher-Yates变换置乱原始图像打破像素间的强相关性,再利用滤波器在RGB平面上进行滤波得到密文。Logistic-Sine-Cosine复合混沌系统具有良好的混沌特... 为了提高数字图像加密的速度和算法的安全性,提出了基于Fridrich框架的加密算法。通过Fisher-Yates变换置乱原始图像打破像素间的强相关性,再利用滤波器在RGB平面上进行滤波得到密文。Logistic-Sine-Cosine复合混沌系统具有良好的混沌特性,且时间复杂度低。密钥由输入参数和明文的SHA-512值共同决定,对明文高度敏感。二维滤波器扩散效果良好,其滤波器模板由明文和密钥决定并引入了伪随机像素值,在提升扩散效果的同时增强了系统抗差分攻击的能力。仿真结果表明,密文图像像素分布近似均匀、像素关联性弱、密钥空间足够大、密钥敏感性高,能够有效抵抗暴力、裁剪、差分等常见攻击,具有较高的安全性,且算法时间复杂度较低。 展开更多
关键词 图像加密 Logistic-sine-Cosine映射 Fisher-Yates置乱 滤波器扩散 SHA-512(secure hash algorithm-512)
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Sine Cosine Optimization with Deep Learning-Based Applied Linguistics for Sentiment Analysis on COVID-19 Tweets 被引量:1
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作者 Abdelwahed Motwakel Hala J.Alshahrani +5 位作者 Abdulkhaleq Q.A.Hassan Khaled Tarmissi Amal S.Mehanna Ishfaq Yaseen Amgad Atta Abdelmageed Mohammad Mahzari 《Computers, Materials & Continua》 SCIE EI 2023年第6期4767-4783,共17页
Applied linguistics is an interdisciplinary domain which identifies,investigates,and offers solutions to language-related real-life problems.The new coronavirus disease,otherwise known as Coronavirus disease(COVID-19)... Applied linguistics is an interdisciplinary domain which identifies,investigates,and offers solutions to language-related real-life problems.The new coronavirus disease,otherwise known as Coronavirus disease(COVID-19),has severely affected the everyday life of people all over the world.Specifically,since there is insufficient access to vaccines and no straight or reliable treatment for coronavirus infection,the country has initiated the appropriate preventive measures(like lockdown,physical separation,and masking)for combating this extremely transmittable disease.So,individuals spent more time on online social media platforms(i.e.,Twitter,Facebook,Instagram,LinkedIn,and Reddit)and expressed their thoughts and feelings about coronavirus infection.Twitter has become one of the popular social media platforms and allows anyone to post tweets.This study proposes a sine cosine optimization with bidirectional gated recurrent unit-based senti-ment analysis(SCOBGRU-SA)on COVID-19 tweets.The SCOBGRU-SA technique aimed to detect and classify the various sentiments in Twitter data during the COVID-19 pandemic.The SCOBGRU-SA technique follows data pre-processing and the Fast-Text word embedding process to accomplish this.Moreover,the BGRU model is utilized to recognise and classify sen-timents present in the tweets.Furthermore,the SCO algorithm is exploited for tuning the BGRU method’s hyperparameter,which helps attain improved classification performance.The experimental validation of the SCOBGRU-SA technique takes place using a benchmark dataset,and the results signify its promising performance compared to other DL models. 展开更多
关键词 Applied linguistics deep learning sentiment analysis COVID-19 pandemic sine cosine optimization TWITTER
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A Double Adaptive Random Spare Reinforced Sine Cosine Algorithm
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作者 Abdelazim G.Hussien Guoxi Liang +1 位作者 Huiling Chen Haiping Lin 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第9期2267-2289,共23页
Many complex optimization problems in the real world can easily fall into local optimality and fail to find the optimal solution,so more new techniques and methods are needed to solve such challenges.Metaheuristic alg... Many complex optimization problems in the real world can easily fall into local optimality and fail to find the optimal solution,so more new techniques and methods are needed to solve such challenges.Metaheuristic algorithms have received a lot of attention in recent years because of their efficient performance and simple structure.Sine Cosine Algorithm(SCA)is a recent Metaheuristic algorithm that is based on two trigonometric functions Sine&Cosine.However,like all other metaheuristic algorithms,SCA has a slow convergence and may fail in sub-optimal regions.In this study,an enhanced version of SCA named RDSCA is suggested that depends on two techniques:random spare/replacement and double adaptive weight.The first technique is employed in SCA to speed the convergence whereas the second method is used to enhance exploratory searching capabilities.To evaluate RDSCA,30 functions from CEC 2017 and 4 real-world engineering problems are used.Moreover,a nonparametric test called Wilcoxon signed-rank is carried out at 5%level to evaluate the significance of the obtained results between RDSCA and the other 5 variants of SCA.The results show that RDSCA has competitive results with other metaheuristics algorithms. 展开更多
关键词 sine cosine algorithm global optimization swarm intelligence meta-heuristic algorithms
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Shape and Size Optimization of Truss Structures under Frequency Constraints Based on Hybrid Sine Cosine Firefly Algorithm
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作者 Ran Tao Xiaomeng Yang +1 位作者 Huanlin Zhou Zeng Meng 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第1期405-428,共24页
Shape and size optimization with frequency constraints is a highly nonlinear problem withmixed design variables,non-convex search space,and multiple local optima.Therefore,a hybrid sine cosine firefly algorithm(HSCFA)... Shape and size optimization with frequency constraints is a highly nonlinear problem withmixed design variables,non-convex search space,and multiple local optima.Therefore,a hybrid sine cosine firefly algorithm(HSCFA)is proposed to acquire more accurate solutions with less finite element analysis.The full attraction model of firefly algorithm(FA)is analyzed,and the factors that affect its computational efficiency and accuracy are revealed.A modified FA with simplified attraction model and adaptive parameter of sine cosine algorithm(SCA)is proposed to reduce the computational complexity and enhance the convergence rate.Then,the population is classified,and different populations are updated by modified FA and SCA respectively.Besides,the random search strategy based on Lévy flight is adopted to update the stagnant or infeasible solutions to enhance the population diversity.Elitist selection technique is applied to save the promising solutions and further improve the convergence rate.Moreover,the adaptive penalty function is employed to deal with the constraints.Finally,the performance of HSCFA is demonstrated through the numerical examples with nonstructural masses and frequency constraints.The results show that HSCFA is an efficient and competitive tool for shape and size optimization problems with frequency constraints. 展开更多
关键词 Firefly algorithm sine cosine algorithm frequency constraints structural optimization
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正余弦函数法结合sine-Gordon方程的解求BBM方程的新行波解
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作者 顾重秀 林府标 《贵州师范大学学报(自然科学版)》 CAS 2023年第3期46-50,共5页
为研究BBM方程的解析解法和行波解。首先用试探函数法获得了sine-Gordon方程及约化方程的精确解,然后采用sine-Gordon方程的约化方程和精确解构造了正余弦函数法,最后利用正余弦函数法找到了BBM方程的许多新显式行波解。
关键词 sine-GORDON方程 BBM方程 正余弦函数法 行波解
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有效积温Sine函数拟合模型及其应用 被引量:14
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作者 吕昭智 田建华 +2 位作者 沈佐锐 田长彦 王涛 《生态学杂志》 CAS CSCD 北大核心 2005年第12期1549-1552,共4页
阐述了昆虫物候分析的SSPM模型(single sine phonological model)计算方程和过程,该模型采用Sine函数拟合每天温度变化,并利用积分,获取每天有效积温和一定时间内日度累积值。SSPM重要的参数有发育起点温度和上限温度,参与模型计算包括... 阐述了昆虫物候分析的SSPM模型(single sine phonological model)计算方程和过程,该模型采用Sine函数拟合每天温度变化,并利用积分,获取每天有效积温和一定时间内日度累积值。SSPM重要的参数有发育起点温度和上限温度,参与模型计算包括日最高气温和日最低气温2个输入值,在输入值和参数值组合条件下,模型有6个不同计算方程。以棉铃虫(Helicoverpa armigera)为例,介绍了SSPM在昆虫发育历期分析过程,简单表述了模型预测功能。随自动化气象站分布密度增加和Internet技术的发展,模型在区域化害虫管理中有着重要的应用前景。 展开更多
关键词 SINGLE sine物候模型 日度 棉铃虫 sine函数
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Etiologies and Associated Factors of Generalised Pruritus Sine Materia in the Dermatology-Venerology Department of CHUD-Borgou/Alibori (Benin)
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作者 Nadège Agbessi Bérénice Degboe +5 位作者 Violette Fingoue Ngabakoua Fabrice Akpadjan Odile Houngbo Hugues Adegbidi Félix Atadokpede Christiane Koudoukpo 《Journal of Cosmetics, Dermatological Sciences and Applications》 2023年第3期209-219,共11页
Introduction: The aim was to identify the etiologies of generalised pruritus sine materia and to determine the associated factors in Parakou. Methods: This was a retrospective observational study conducted from Januar... Introduction: The aim was to identify the etiologies of generalised pruritus sine materia and to determine the associated factors in Parakou. Methods: This was a retrospective observational study conducted from January 2011 to June 2022. The patients included were of all ages and both sexes in whom the sine materia nature of the pruritus was noted after clinical examination. These patients had an etiological assessment available or not, complete or partial. For each patient, socio-demographic, socio-cultural, socio-economic and clinical data were collected using a pre-established survey form. They were then processed and analysed using Epi Data 3.1 and SPSS version 21 software respectively. Results: The incidence of generalised pruritus sine materia was 0.89% (73 cases/8214 consultants). The predominant etiologies were aquagenic pruritus (16.4%) and intestinal parasitosis (12.3%). After a bi-variate analysis, two risk factors were identified: frequency of towel change greater than 1 month (OR = 3.02;CI<sub>95%</sub> = 0.98 - 9.31;P = 0.0486) and use of cold water for bath (OR = 3.28;CI<sub>95%</sub> = 1.09 - 9.81;P = 0.0274). Conclusion: The etiologies and associated factors of generalised pruritus sine materia found in Parakou are varied but are linked to lifestyle. There is an urgent need to raise public awareness of the need to improve lifestyle in order to reduce the frequency of pruritus sine materia. . 展开更多
关键词 Generalized Pruritus sine Materia ETIOLOGIES Associated Factors Parakou
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二维阻尼非线性sine-Gordon方程的共形多辛Fourier拟谱格式
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作者 王杰 蒋朝龙 《纯粹数学与应用数学》 2023年第2期214-232,共19页
为二维阻尼非线性sine-Gordon方程构造了一个新的共形多辛Fourier拟谱格式.基于原系统的共形多辛哈密尔顿形式,首先在时间和空间方向上分别用辛中点和Fourier拟谱方法进行离散,得到一个全离散格式.随后证明了构造的格式保持离散的共形... 为二维阻尼非线性sine-Gordon方程构造了一个新的共形多辛Fourier拟谱格式.基于原系统的共形多辛哈密尔顿形式,首先在时间和空间方向上分别用辛中点和Fourier拟谱方法进行离散,得到一个全离散格式.随后证明了构造的格式保持离散的共形多辛守恒律.最后数值实验验证了格式的有效性. 展开更多
关键词 阻尼sine-Gordon方程 共形多辛格式 FOURIER拟谱方法 孤立子
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用Hirota双线性方法构造的高维sine-Gordon方程的新型精确解
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作者 黎倍祯 毛辉 《南宁师范大学学报(自然科学版)》 2023年第4期30-35,共6页
该文运用Hirota双线性方法,通过反正切函数变换导出了二维sine-Gordon方程的双线性形式,然后对待定函数进行假设并选取适当的参数,构造了方程的新型精确解.还证明了一般的n维sine-Gordon方程也具有此类型的精确解.
关键词 HIROTA双线性方法 函数变换 高维sine-Gordon方程 精确解
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基于分数阶Cosine和Sine变换说话人证实特征的提取
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作者 王金芳 杨宝俊 李月 《石家庄铁道学院学报》 2008年第2期66-69,共4页
提出了基于分数阶Cosine变换和分数阶Sine变换用于说话人证实的新颖特征,即广义Bark平均能量差和主、从分数阶域间广义Bark平均能量差。为考核这些特征的实用性能,完成了一系列说话人证实实验。虽然上述特征的单一应用并未体现出极佳的... 提出了基于分数阶Cosine变换和分数阶Sine变换用于说话人证实的新颖特征,即广义Bark平均能量差和主、从分数阶域间广义Bark平均能量差。为考核这些特征的实用性能,完成了一系列说话人证实实验。虽然上述特征的单一应用并未体现出极佳的准确率,但它们经过合理组合后的性能同原单一特征相比更能良好地描述说话人声音个性。 展开更多
关键词 说话人证实 分数阶Cosine变换 分数阶sine变换 特征提取
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