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某些分段李纳系统的Hopf分支环性数
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作者 徐伟骄 《沈阳航空航天大学学报》 2021年第5期93-96,共4页
希尔伯特第16问题是著名数学家希尔伯特提出的涉及平面多项式系统极限环存在和分布问题的重要数学难题,此问题至今仍未彻底解决。基于此研究了某些平面分段李纳系统在原点附近的极限环分支问题。通过扰动,得到在原点附近由Hopf分支产生... 希尔伯特第16问题是著名数学家希尔伯特提出的涉及平面多项式系统极限环存在和分布问题的重要数学难题,此问题至今仍未彻底解决。基于此研究了某些平面分段李纳系统在原点附近的极限环分支问题。通过扰动,得到在原点附近由Hopf分支产生的环性数为N(m,n,1,2)=m-1,m,n∈{1,2,3}。 展开更多
关键词 HOPF分支 分段光滑 李纳系统 环性数 希尔伯特第16问题
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Limit Cycles in the Stability Analysis of a Chemical System
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作者 葛渭高 《Journal of Beijing Institute of Technology》 EI CAS 1994年第1期7+1-6,共7页
Aris and Amundson studied a chemical reactor and obtained the two equationsDaoud showed that at most one limit cycle may exist in the region of interest. Itis showed in this paper that other singular points exist and ... Aris and Amundson studied a chemical reactor and obtained the two equationsDaoud showed that at most one limit cycle may exist in the region of interest. Itis showed in this paper that other singular points exist and that a stable limitt cycle existsaround the singularity (1/2, 2) when K∈(9-δ, 9). 展开更多
关键词 chemical reaction limit cycle stability(mathematics) differential equation/singularity
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Analysis of a Class of Logical Functions over Galois and Z_m Rings 被引量:1
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作者 陈卫红 曾洪杰 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期105-110,共6页
In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the characte... In this paper, the author analyzed some cryptographic properties of a class of logical functions, f(x,y)=(q(x),...,q(x))·y+h(x),over Galois rings and residue rings, presented the relationship between the character spectrum of f(x,y) and the character speetrum of q(x),h(x) and the relationship between the cryptographic properties of f(x,y) and the cryptographic properties of h(x). 展开更多
关键词 logical function character spectrum cryptographic properties
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Special Properties of Formal Triangular Matrix Rings 被引量:4
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作者 FAN Wei-li WANG Hui 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第4期625-632,共8页
We consider the sufficient and necessary conditions for the formal triangular matrix ring being right minsymmetric, right DS, semicommutative, respectively.
关键词 formal triangular matrix ring right minsymmetric ring DS ring semicommutative ring
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Cavitation Passive Control on Immersed Bodies 被引量:4
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作者 Khodayar Javadi Mohammad Mortezazadeh Dorostkar Ali Katal 《Journal of Marine Science and Application》 CSCD 2017年第1期33-41,共9页
This paper introduces a new idea of controlling cavitation around a hydrofoil through a passive cavitation controller called artificial cavitation bubble generator (ACG). Cyclic processes, namely, growth and implosi... This paper introduces a new idea of controlling cavitation around a hydrofoil through a passive cavitation controller called artificial cavitation bubble generator (ACG). Cyclic processes, namely, growth and implosion of bubbles around an immersed body, are the main reasons for the destruction and erosion of the said body. This paper aims to create a condition in which the cavitation bubbles reach a steady-state situation and prevent the occurrence of the cyclic processes. For this purpose, the ACG is placed on the surface of an immersed body, in particular, the suction surface of a 2D hydrofoil. A simulation was performed with an implicit finite volume scheme based on a SIMPLE algorithm associated with the multiphase and cavitation model. The modified k-ε RNG turbulence model equipped with a modification of the turbulent viscosity was applied to overcome the turbulence closure problem. Numerical simulation of water flow over the hydrofoil equipped with the ACG shows that a low-pressure recirculation area is produced behind the ACG and artificially generates stationary cavitation bubbles. The location, shape, and size of this ACG are the crucial parameters in creating a proper control. Results show that the cavitation bubble is controlled well with a well-designed ACG. 展开更多
关键词 flow control artificial cavitation bubble generator cavitation bubble hydrofoil passive controller Re-entrant jet immersed bodies
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Experimental study on visco-elastic constitutive relationship and its parameters for geogrids
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作者 肖成志 《Journal of Chongqing University》 CAS 2005年第3期139-143,共5页
Geogrids are used as reinforcement materials widely in geotechnical and civil engineering fields. In this paper, a series of comparative tests on creep behavior of specific geoOgrids are conducted in the laboratory un... Geogrids are used as reinforcement materials widely in geotechnical and civil engineering fields. In this paper, a series of comparative tests on creep behavior of specific geoOgrids are conducted in the laboratory under different combinations of loading levels and environmental temperature. Based on the test results,comparative analyses are made to study long-term behaviors of isochronous load-strain curves, creep curves and relaxation curves for the specified geogrids. Furthermore, a constitutive model based on theory of visco-elasticity and tests results is proposed for geogrids and a rational procedure is presented in detail for determining the relevant parameters of the proposed model. Finally, the effect of tests temperature on model parameter values is investigated. 展开更多
关键词 GEOGRIDS reep tests VISCO-ELASTICITY constitutive model
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On the Group of Units for the Ring of Linear Transformations
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作者 张光辉 孙应德 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第4期355-359,共5页
In this paper, we introduce a practical method for obtaining the structure of thegroup of units for the ring of linear transformations of a vector space over an arbitrary field,and we give a further generalization of ... In this paper, we introduce a practical method for obtaining the structure of thegroup of units for the ring of linear transformations of a vector space over an arbitrary field,and we give a further generalization of the result in [3]. 展开更多
关键词 semidirect product linear transformation normal group BASIS
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