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Bifurcations at a cusp singularity with applications

Acta Applicandae Mathematicae, 1984
The authors investigate the nature of bifurcations that occur in a finite dimensional smooth dynamical system depending on more than one parameter. In addition to the saddle point node which is analogous to the Hopf bifurcation, a cusp node can occur. This cusp singularity occurs only in the presence of more than one parameter.
Arrowsmith, D. K., Place, C. M.
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The appearance of apparent horizons and `cusp' singularity

Classical and Quantum Gravity, 1994
Summary: Some one-parameter families of time-symmetric Cauchy hypersurfaces were investigated. All of them have such a property that for some `critical' value of the parameter an apparent horizon appears. It turns out that for parameter values sufficiently close to the critical one, numerous properties of the horizon are `universa' (i.e. independent of
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Resolution of the Cusp Singularities

1988
In January 1971 Hirzebruch received a letter from Serre in which he was asked whether he knew how to resolve the cusp singularities of Hilbert modular surfaces. Hirzebruch’s answer consisted in a long letter (dated 18 January 1971) in which he explained the resolution process discovered by him just a few days before Serre’s letter arrived.
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Cusp solitons and cusp-like singular solutions for nonlinear equations

Chaos, Solitons & Fractals, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Zhijun, Qiao, Xin Brian
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DETECTION AND CHARACTERIZATION OF CUSP SINGULARITIES

Fractals
Studies on nonlinear analysis of system dynamics have increased in recent years. Since most systems that exist in nature have complex dynamics and therefore exhibit nonlinear behavior; there are various methods and theories developed in this context. Self-similar functions are mathematical functions exhibiting self-similar and scale-invariant behaviors
SELİN BÜYÜKTAŞ, DENİZ KARAÇOR
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CUSP SINGULARITIES GIVEN BY REFLECTIONS OF STELLABLE CONES

International Journal of Mathematics, 1991
The author builds ``Tsuchihashi cusps'' [\textit{H. Tsuchihashi}, Tôhoku Math. J., II. Ser. 35, 607-639 (1983; Zbl 0585.14004)] (this is a generalization of Hilbert modular cusp singularities). Such a singularity is defined by a pair \((C,\Gamma)\) of an open convex cone \(C\subset\mathbb{R}^ n\) and a discrete group \(\Gamma\subset GL(n,\mathbb{Z ...
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