Singularities for One-Parameter Developable Surfaces of Curves by Qiming Zhao, Donghe Pei, Yongqiao Wang

“…In this paper, we study the geometric properties of one-parameter developable surfaces associated with regular curves. According to singularity theory, the generic singularities of these developable surfaces are classified—they are swallowtails and cuspidal edges. …”
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Singularity Properties of Timelike Sweeping Surface in Minkowski 3-Space by Yanlin Li, Sahar H. Nazra, Rashad A. Abdel-Baky

“…Afterwards, we take advantage of singularity theory to give the classification of singularities of this timelike developable surface. …”
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Evolutoids and pedaloids of frontals on timelike surfaces by Wang Yongqiao, Yang Lin, Chang Yuan, Liu Haiming

“…As an application of the singularity theory, we classify the singularities of evolutoids and reveal the relationships between the singularities and geometric invariants of frontals. …”
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The Bifurcations of Completely Integrable Holonomic Systems of First-Order Differential Equations by Jingbo Xu, Kangping Liu, Xiaoliang Cheng

“…As an application of the Legendrian singularity theory, we classify the bifurcations of a holonomic first-order differential equation with a complete integral. …”
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Dynamics of a Cosmological Model in <i>f</i>(<i>R</i>,<i>T</i>) Gravity: I. On Invariant Planes by Jianwen Liu, Ruifang Wang, Fabao Gao

“…Under the background of perfect fluid and flat Friedmann–Lemaître–Robertson–Walker (FLRW) space-time, this paper mainly describes the dynamics of the cosmological model constructed in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity on three invariant planes, by using the singularity theory and Poincaré compactification in differential equations.…”
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Tubular surface generated by a curve lying on a regular surface and its characterizations by A. A. Abdel-Salam, M. I. Elashiry, M. Khalifa Saad

“…Additionally, taking advantage of the singularity theory, we have given the classification of generic singularities of these surfaces. …”
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Algorithms in Singular by Hans Schonemann

“…Some algorithms for singularity theory and algebraic geometry The use of Grobner basis computations for treating systems of polynomial equations has become an important tool in many areas. …”
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Fractional stochastic vibration system under recycling noise by Jian-Gang Zhang, Fang Wang, Hui-Nan Wang

“…Second, the Itô differential equations and One-dimensional Markov process are obtained according to the stochastic averaging method, using Oseledec multiplicative ergodic theorem and maximal Lyapunov exponent to judge local stability, and judging global stability is done by using the singularity theory. Lastly, the stochastic D-bifurcation behavior of the model is analyzed by using the Lyapunov exponent of the dynamical system invariant measure, and the stationary probability density function of the system is solved according to the FPK equation. …”
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Bifurcation Analysis of a Micro-Machined Gyroscope with Nonlinear Stiffness and Electrostatic Forces by Huabiao Zhang, Xinye Li, Lijuan Zhang

“…Transition sets on the driving/detecting voltage plane that divide the parameter plane into 12 persistent regions and the corresponding bifurcation diagrams are obtained via the singularity theory. The results show that multiple solutions of the resonance curves appear with a large driving voltage and a small detecting voltage, which may lead to an uncertain output of the gyroscope. …”
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The Nonlinear Dynamics of a MEMS Resonator with a Triangular Tuning Comb by Lijuan Zhang, Huabiao Zhang, Xinye Li, Ningguo Qiao, Xianping Gao, Yunxiao Ji

“…The analytical solution of the periodic response is obtained using the harmonic balance method and section integral method. The singularity theory is then applied to investigate the bifurcation of the periodic response of the untuned system. …”
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Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory by Qichang Zhang, Yucheng Yan, Jianxin Han, Shuying Hao, Wei Wang

“…By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. …”
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Vertical–Horizontal Coupling Vibration of Hot Rolling Mill Rolls under Multi-Piecewise Nonlinear Constraints by Rongrong Peng, Xingzhong Zhang, Peiming Shi

“…Furthermore, using the singularity theory to study the static bifurcation characteristics of the coupled vibration system, we establish a relationship between the vibration parameters and the topological bifurcation solution of the coupled system. …”
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Slovak MPs’ response to the 2022 Russian invasion of Ukraine in light of conspiracy theories and the polarization of political discourse by Tomáš Lintner, Tomáš Diviák, Barbora Nekardová, Lukáš Lehotský, Michal Vašečka

“…A cluster of opposition MPs consistently spread conspiracy theories both before and after the invasion began, supporting a “conspiracy singularity” theory—the tendency of actors to spread multiple different conspiracy theories and interconnect various conspiracy theories into one overarching narrative. …”
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Consistent Quantization of Nearly Singular Superconducting Circuits by Martin Rymarz, David P. DiVincenzo

“…In this work, we demonstrate the failure of such singular theories for the quantization of realistic, nearly singular superconducting circuits. …”
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Misinformation by Jing Zeng, Scott Babwah Brennen

“…This article delves into the diverse and complex nature of conceptualising misinformation as an object of research, highlighting the interdisciplinary scholarship in this field that results in varied and sometimes conflicting definitions. While a singular theory of misinformation is neither feasible nor desirable, the article argues for the importance of greater conceptual comprehensiveness in empirical research. …”
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Misinformation by Jing Zeng, Scott Babwah Brennen

“…This article delves into the diverse and complex nature of conceptualising misinformation as an object of research, highlighting the interdisciplinary scholarship in this field that results in varied and sometimes conflicting definitions. While a singular theory of misinformation is neither feasible nor desirable, the article argues for the importance of greater conceptual comprehensiveness in empirical research. …”
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Pierre Bayle and his reception in early eighteenth-century England: toleration in the Pensées Diverses and the Commentaire Philosophique by Hooks, J

“…Scholars usually speak of Bayle’s conception of toleration as if it were a singular theory. This thesis, however, contends that Bayle’s two most famous treatises on toleration, his Pensées diverses (1682) and his Commentaire philosophique (1686), introduced two notably different justifications for religious toleration. …”