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On the stability of the quadratic mapping in Banach modules
Journal of Mathematical Analysis and Applications, 2002 We prove the generalized Hyers–Ulam–Rassias stability of the quadratic mapping in Banach modules over a unital Banach ...
Park, Chun-Gil
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On the Definition of Quadratic Mappings
Advances in Applied Clifford Algebras, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmstetter, Jacques +2 more
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SINGULAR PERTURBATIONS OF QUADRATIC MAPS
International Journal of Bifurcation and Chaos, 2004We give a complete description of the dynamics of the mapping fε(z)=z2+(ε/z) for positive real values of ε. We then consider two generalizations: the case of complex ε and the mapping z→zn+(ε/zm), where ε is positive and real. In both cases we provide a full characterization of the map for a certain set of parameters, and give observations based on ...
Robert L. Devaney +2 more
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Quadratic isoperimetric inequality for mapping tori of polynomially growing automorphisms of free groups [PDF]
Geometric and Functional Analysis, 2000 We prove that the mapping torus of a polynomially growing automorphism of finitely generated free group F n satisfies the quadratic isoperimetric inequality.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41841/1/39-10-4-874_00100874 ...
N. Macura, Macura, N.
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On the generalized Hyers–Ulam stability of multi-quadratic mappings
Computers and Mathematics With Applications, 2011 A mapping f:Vn⟶W, where V is a commutative group, W is a linear space, and n≥2 is an integer, is called multi-quadratic if it is quadratic in each variable.
Krzysztof Cieplinski
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Gradient Property of Quadratic Maps
Lobachevskii Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Mathematical Sciences, 2019
This paper is devoted to the study of the geometry and topology of quadratic mappings. The author study properties such as properness or stability, describing the structure of the singular set or bifurcation diagrams and studying the topology of fibres and Euler characteristics.
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This paper is devoted to the study of the geometry and topology of quadratic mappings. The author study properties such as properness or stability, describing the structure of the singular set or bifurcation diagrams and studying the topology of fibres and Euler characteristics.
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Quadratic Sequential Computations of Boolean Mappings
Theory of Computing Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serge Burckel, Marianne Morillon
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Quadratic Maps Are Hard to Sample
ACM Transactions on Computation Theory, 2016This note proves the existence of a quadratic GF(2) map p : {0, 1} n → {0, 1} such that no constant-depth circuit of size poly( n ) can sample the distribution (
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Anti-integrability for Three-Dimensional Quadratic Maps
SIAM Journal on Applied Dynamical Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amanda E. Hampton, James D. Meiss
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