Normal forms near a saddle-node and applications to finite cyclicity of graphics

2002 ◽  
Vol 22 (03) ◽  
Author(s):  
F. DUMORTIER ◽  
Y. ILYASHENKO ◽  
C. ROUSSEAU
Keyword(s):  
Normal Forms ◽  
Saddle Node ◽  
Finite Cyclicity

scholarly journals Analytic normal forms for convergent saddle-node vector fields

2015 ◽  
Vol 65 (3) ◽  
pp. 933-974 ◽  
Author(s):  
Reinhard Schäfke ◽  
Loïc Teyssier
Keyword(s):  
Vector Fields ◽  
Normal Forms ◽  
Saddle Node

GEOMETRY AND ORDER OF CHAOS

1999 ◽  
Vol 09 (02) ◽  
pp. 327-347
Author(s):  
J. AWREJCEWICZ ◽  
C.-H. LAMARQUE ◽  
K. A. BROUGHAN
Keyword(s):  
Normal Forms ◽  
High Order ◽  
Chaotic Attractors ◽  
Geometrical Structures ◽  
Saddle Node Bifurcation ◽  
Geometrical Properties ◽  
Saddle Node ◽  
Fractal Organization ◽  
In The Beginning

In the beginning a brief introduction to a symmetry increasing as well as to quantified geometrical structures of chaotic attractors have been given. Then, the research is focused on the Chossat–Golubitsky map. A saddle-node bifurcation on the boundary of the umbrella shape set of saddles, crises of two peculiar structures of saddles and an extremely high order of infinitely many flip and regular saddle orbits have been reported. The geometrical properties of hyperchaos and its relation to the Kakeya–Besicovitch and the Apollonian packing have been illustrated and discussed. A fractal organization of the successive periodic saddles and fractal normal forms have been described.

Attractor-preserving control to avoid saddle-node bifurcation

2014 ◽  
Vol 2 ◽  
pp. 150-153
Author(s):  
Daisuke Ito ◽  
Tetsushi Ueta ◽  
Shigeki Tsuji ◽  
Kazuyuki Aihara
Keyword(s):  
Saddle Node Bifurcation ◽  
Saddle Node

METHODS OF REDUCING OF LARGE BOOLEAN FORMULAS REPRESENTED IN A CONJUNCTIVE NORMAL FORM FOR DETERMINING THEIR SATISFIABILITY

2020 ◽  
Author(s):  
N.I. Gdansky ◽  
◽  
A.A. Denisov ◽  
Keyword(s):  
Normal Form ◽  
Normal Forms ◽  
Conjunctive Normal Form ◽  
Boolean Formulas

The article explores the satisfiability of conjunctive normal forms used in modeling systems.The problems of CNF preprocessing are considered.The analysis of particular methods for reducing this formulas, which have polynomial input complexity is given.

Regularization of Integral Operators in Singularly Perturbed Problems Using Normal Forms

Vestnik MEI ◽  
2019 ◽  
Vol 6 ◽  
pp. 131-137
Author(s):  
Abdukhafiz A. Bobodzhanova ◽  
◽  
Valeriy F. Safonov ◽  
Keyword(s):  
Normal Forms ◽  
Integral Operators ◽  
Singularly Perturbed ◽  
Singularly Perturbed Problems

scholarly journals CagA-PositiveHelicobacter pyloriInfection and Reduced Sperm Motility, Vitality, and Normal Morphology

2013 ◽  
Vol 35 ◽  
pp. 229-234 ◽  
Author(s):  
E. Moretti ◽  
G. Collodel ◽  
L. Mazzi ◽  
M. S. Campagna ◽  
N. Figura
Keyword(s):  
Sperm Motility ◽  
Normal Forms ◽  
Molecular Mimicry ◽  
Sperm Quality ◽  
Semen Analysis ◽  
Normal Morphology ◽  
Partial Linear ◽  
Caga Status ◽  
The Relationship ◽  
Autoimmune Phenomena

Helicobacter pylori(HP) infection, particularly when caused by strains expressing CagA, may be considered a concomitant cause of male and female reduced fertility. This study explored, in 87 HP-infected males, the relationship between infection by CagA-positive HP strains and sperm parameters. HP infection and CagA status were determined by ELISA and Western blotting; semen analysis was performed following WHO guidelines. The amino acid sequence of human enzymes involved in glycolysis and oxidative metabolism were “blasted” with peptides expressed by HP J99. Thirty-seven patients (42.5%) were seropositive for CagA. Sperm motility (18% versus 32%; ), sperm vitality (35% versus 48%; ) and the percentage of sperm with normal forms (18% versus 22%; ) in the CagA-positive group were significantly reduced versus those in the CagA-negative group. All the considered enzymes showed partial linear homology with HP peptides, but four enzymes aligned with four different segments of the samecagisland protein. We hypothesize a relationship between infection by strains expressing CagA and decreased sperm quality. Potentially increased systemic levels of inflammatory cytokines that occur in infection by CagA-positive strains and autoimmune phenomena that involve molecular mimicry could explain the pathogenetic mechanism of alterations observed.

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