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Remarks on Quadratic Mappings

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.
openaire   +2 more sources

Quadratic Sequential Computations of Boolean Mappings

Theory of Computing Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Serge Burckel, Marianne Morillon
openaire   +1 more source

Quadratic Maps Are Hard to Sample

ACM Transactions on Computation Theory, 2016
This 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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Microcontroller Execution, Random Number Generation and Chaos Annihilation in Piecewise Quadratic Map

ADBA Computer Science
This paper presents the study of microcontroller execution, pseudo random number generator (PRNG) and chaos annihilation in a piecewise quadratic map (PQM).
L. Makouo   +4 more
semanticscholar   +1 more source

Toward Efficient and Interpretative Rolling Bearing Fault Diagnosis via Quadratic Neural Network With Bi-LSTM

IEEE Internet of Things Journal
With the widespread application of deep learning in Internet of Things (IoT), remarkable achievements have been made especially in rolling bearing fault diagnosis in rotating machinery.
Keshun You, Puzhou Wang, Yingkui Gu
semanticscholar   +1 more source

Geometry and Dynamics of Quadratic Rational Maps

Experimental Mathematics, 1993
This article is an expository description of quadratic rational maps from the Riemann sphere to ...
John Milnor, null Milnor, Tan Lei
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Topology of quadratic maps and hessians of smooth maps

Journal of Soviet Mathematics, 1990
Let K be a cone in \({\mathbb{R}}^ k\) and \(K^*=\{\omega \in ({\mathbb{R}}^ k)^*:\omega\) (x)\(\leq 0\) for all \(x\in K\}\) its dual cone. Consider a symmetric bilinear map p on \({\mathbb{R}}^{N+1}\) with values in \({\mathbb{R}}^ k\). For \(\omega \in K^*\setminus \{0\}\) denote by \(\omega\) P the operator on \({\mathbb{R}}^{N+1}\) satisfying ...
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Cryptanalysis and constructing S-Box based on chaotic map and backtracking

Applied Mathematics and Computation, 2020
In recent years, a large number of S-Box design schemes have been proposed. However, after detection we found that most of them contain fixed point or reverse fixed point, which may be an exploitable weakness in cryptography.
Hongjun Liu, A. Kadir, Chengbo Xu
semanticscholar   +1 more source

The quadratic differential of a map

1985
The rank of the first differential ƒx determines the singularity classes ∑i. Consideration of the quadratic part of the map gives a more precise classification: we associate to each singularity a family of quadratic forms invariantly associated with it.
V. I. Arnold   +2 more
openaire   +1 more source

A cluster of 1D quadratic chaotic map and its applications in image encryption

Mathematics and Computers in Simulation, 2022
Lingfeng Liu, Jie Wang
semanticscholar   +1 more source

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