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作品数：83被引量：57H指数：3
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相关领域：理学更多>>
相关作者：李率杰丁效华李明珠李学敏高俊斌更多>>
相关机构：哈尔滨工业大学山东师范大学大连理工大学河南科技大学更多>>
相关期刊：《Computer Modeling in Engineering & Sciences》《Chinese Journal of Chemical Engineering》《Applied Mathematics》《Communications in Mathematical Research》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高技术研究发展计划福建省自然科学基金更多>>
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A note on Pythagorean hodograph quartic spiral
《Applied Mathematics(A Journal of Chinese Universities)》2018年第2期234-252,共19页ZHENG Zhi-hao WANG Guo-zhao 
Supported by the National Natural Science Foundation of China(61272300)
By using the geometric constraints on the control polygon of a Pythagorean hodo- graph （PH） quartic curve, we propose a sufficient condition for this curve to have monotone curvature and provide the detailed proof. ...
关键词：Pythagorean hodograph quartic curve SPIRAL CURVATURE transition curve 
Approximation of conic section by quartic Bzier curve with endpoints continuity condition被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2017年第1期1-13,共13页LIU Yu XU Chen-dong 
Supported by the NSF of China(11101230 and 11371209)
A new method for approximation of conic section by quartic B′ezier curve is presented, based on the quartic B′ezier approximation of circular arcs. Here we give an upper bound of the Hausdorff distance between the c...
关键词：conic continuity Hausdorff approximate Approximation circular interpolation coordinates graphics symmetric 
Best bounds on the distance between 3-direction quartic box spline surface and its control net被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2013年第2期147-157,共11页ZENG Xiao-ming ZHOU Guo-rong YANG Lian-qiang 
Supported by the National Natural Science Foundation of China (61170324 and 61100105)
We present the best bounds on the distance between 3-direction quartic box spline surface patch and its control net by means of analysis and computing for the basis functions of 3-direction quartic box spline surface....
关键词：Box spline BOUND parametric surface basis function differences of control point. 
Rational cubic/quartic Said-Ball conics被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2011年第2期198-212,共15页HU Qian-qian WANG Guo-jin 
Supported by the National Natural Science Foundations of China(61070065, 60933007);the Zhejiang Provincial Natural Science Foundation of China(Y6090211)
In CAGD, the Said-Ball representation for a polynomial curve has two advantagesover the B′ezier representation, since the degrees of Said-Ball basis are distributed in a step type.One advantage is that the recursive ...
关键词：Rational Said-Ball curve Rational B′ezier curve conics. 
HOPF BIFURCATION AND UNIQUENESS OF LIMIT CYCLE FOR A CLASS OF QUARTIC SYSTEM被引量：2
《Applied Mathematics(A Journal of Chinese Universities)》2007年第4期388-392,共5页Zhan Qingyi Xie Xiangdong Wu Chengqiang Qiu Shulin 
Supported by the Natural Science Foundation of Fujian Province(Z0511052,2006J0209);the Foundation of Fujian Education Department(JA04158,JA04274)and the Foundation of Developing ScienceTechnology of Fuzhou University(2005-QX-20)
This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system.x＇=-y＋ex＋lx^2＋mxy＋ny^2,y＇=x（1-Ay）（1＋Cy^2）,（＊）where C 〉 0. Sufficient conditions are ...
关键词：accompanying system  bifurcation limit cycle uniqueness. 
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