Singularity theory and gravitational lensing / by Petters, Arlie O., 1964-, Levine, Harold, 1928-, Wambsganss, Joachim, 1961-

Singularity theory and an introduction to catastrophe theory/ by 185131 Lu, Yung Chen

Extended Legendrian Dualities Theorem in Singularity Theory by Haiming Liu, Jiajing Miao

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Singularity theory, rod theory and symmetry breaking loads / by Pierce, John F.

Curves and singularities : a geometrical introduction to singularity theory/ by 222016 Bruce, J. W., Giblin, P. J.

Resonances in a spring-pendulum: algorithms for equivariant singularity theory by Broer, H, Hoveijn, I, Lunter, G, Vegter, G

“…The reduction is handled by equivariant singularity theory with a distinguished parameter, yielding an integrable approximation of the Poincaré map. …”

A generalization of Grobner bases helps to compute singularity theory transformations by Lunter, G

Application of Singularity Theory to the Distribution of Heavy Metals in Surface Sediments of the Zhongsha Islands by Yan Zhang, Shiqiao Liu, Li Zhang, Yongzhang Zhou, Jinqiang Liang, Jing’an Lu, Xiaoqiang Hu, Liang Liu, Liang Chen, Jingwei Zhang, Cheng Xu, Xinzhu Dong

“…The goal of this study is to explore the spatial distribution characteristics of heavy metals in the surface sediments of the Zhongsha Islands. The singularity theory and method were used to delineate heavy metal geochemical anomalies and the generalized self-similarity analysis method was used to decompose heavy metal geochemical anomalies and background concentrations. …”
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RESEARCH ON THE STRENGTH OF METAL ADHESIVELY BONDED OF SINGLE LAP JOINTS BASED ON SINGULARITY THEORY by WANG YuQi, HE XiaoCong, DING YanFang

“…In order to study the influence of different metal materials on the strength of adhesively-bonded single lap joints（ SLJ）,The adhesive bonding of SLJs whose adherends were aluminum alloy,titanium alloy,copper alloy and cold rolled steel were separately tested under tension-shear loading in ANSYS software based on singularity theory. The results show that the singularity order and stress intensity factor of adhesive joints decreased with the elasticity modulus increasing,the strength of adhesive joints increased with the elasticity modulus increasing.…”
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SINGULAR A Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra by G.-M. Greuel, G. Pfister, H. Schonemann

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Equivariant singularity theory with distinguished parameters: Two case studies of resonant Hamiltonian systems by Broer, H, Lunter, G, Vegter, G

“…The planar reduction is studied by equivariant singularity theory with distinguished parameters. The method is illustrated on the conservative spring-pendulum system near resonance, where it leads to integrable approximations of the iso-energetic Poincaré map. …”

Geometry of Developable Surfaces of Frenet Type Framed Base Curves from the Singularity Theory Viewpoint by Qiming Zhao, Lin Yang, Yongqiao Wang

“…In this paper, we consider Frenet type framed base curves that may have singular points and define one-parameter developable surfaces associated with such curves. By using the singularity theory, we classify the generic singularities of the developable surfaces, which are cuspidal edges and swallowtails. …”
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Singularity theories and methods for characterizing mineralization processes and mapping geo-anomalies for mineral deposit prediction by Qiuming Cheng, Pengda Zhao

“…In this paper, we show that geo-anomalies can be delineated for mineral deposit prediction according to singularity theories developed to characterize nonlinear mineralization processes. …”
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Inclination Effect on the Periodic Response of a Symmetrical MEMS Gyroscope by Lijuan Zhang, Huabiao Zhang, Xinye Li, Yunxiao Ji

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Investigation of ruled surfaces and their singularities according to Blaschke frame in Euclidean 3-space by Yanlin Li, Ali. H. Alkhaldi, Akram Ali, R. A. Abdel-Baky, M. Khalifa Saad

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Bifurcation Analysis on the Periodic Response of a Comb Drive MEMS Resonator by Huabiao Zhang, Lijuan Zhang, Xinye Li, Dongai Wang, Tingting Liu

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Singularities for Focal Sets of Timelike Sabban Curves in de Sitter 3-Space by Yongqiao Wang, Lin Yang, Yuxin Liu, Yuan Chang

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Singularities of Non-Developable Ruled Surface with Space-like Ruling by Rashad Abdel-Satar Abdel-Baky, Mohamed Khalifa Saad

“…Singularity theory is a significant field of modern mathematical research. …”
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Singularities for Timelike Developable Surfaces in Minkowski 3-Space by Yanlin Li, Zhizhi Chen, Sahar H. Nazra, Rashad A. Abdel-Baky

“…Taking advantage of the singularity theory, we give the classification of generic singularities of these developable surfaces. …”
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Characterizations of Framed Curves in Four-Dimensional Euclidean Space by Bahar Doğan Yazıcı, Murat Tosun, Sıddıka Özkaldı Karakuş

“…Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. …”
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