A constructive approach to degenerate center problem

2022 ◽  
Vol 12 (3) ◽  
pp. 1
Author(s):  
Omid Rabiei Motlagh ◽  
Mahdieh Molaei Derakhtenjani ◽  
Haji Mohammad Mohammadi Nejad
Keyword(s):  
Center Problem ◽  
Constructive Approach

Directors' Liability in Negligence – Challenging the "Elements of the Tort" Approach

2016 ◽  
Vol 47 (3) ◽  
pp. 485
Author(s):  
Victoria Stace
Keyword(s):  
Third Parties ◽  
Duty Of Care ◽  
Constructive Approach ◽  
Two Stage ◽  
Policy Issues ◽  
Threshold Test

This article suggests that the "elements of the tort" approach to directors' liability in negligence to third parties should be discontinued on the basis that assumption of responsibility as a threshold test is not an element of the tort of negligence or negligent misstatement and a more constructive approach would be to address the policy issues associated with imposing liability on directors as part of the two-stage duty of care inquiry.

scholarly journals A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

2021 ◽  
Vol 18 (5) ◽  
Author(s):  
Antonio Algaba ◽  
Cristóbal García ◽  
Jaume Giné
Keyword(s):  
Normal Form ◽  
Vector Fields ◽  
New Technique ◽  
Center Problem ◽  
New Normal ◽  
Planar Vector Fields ◽  
Planar Vector ◽  
A New Technique

AbstractIn this work, we present a new technique for solving the center problem for nilpotent singularities which consists of determining a new normal form conveniently adapted to study the center problem for this singularity. In fact, it is a pre-normal form with respect to classical Bogdanov–Takens normal formal and it allows to approach the center problem more efficiently. The new normal form is applied to several examples.

scholarly journals A constructive approach to accessible group classes

2021 ◽  
Author(s):  
Francesco de Giovanni ◽  
Marco Trombetti
Keyword(s):  
Constructive Approach ◽  
Class A ◽  
Formula Group

AbstractLet $${\mathfrak {X}}$$ X be a group class. A group G is an opponent of $${\mathfrak {X}}$$ X if it is not an $${\mathfrak {X}}$$ X -group, but all its proper subgroups belong to $${\mathfrak {X}}$$ X . Of course, every opponent of $${\mathfrak {X}}$$ X is a cohopfian group and the aim of this paper is to describe the smallest group class containing $${\mathfrak {X}}$$ X and admitting no such a kind of cohopfian groups.

scholarly journals The probabilistic p -center problem: Planning service for potential customers

2017 ◽  
Vol 262 (2) ◽  
pp. 509-520 ◽  
Author(s):  
Luisa I. Martínez-Merino ◽  
Maria Albareda-Sambola ◽  
Antonio M. Rodríguez-Chía
Keyword(s):  
Center Problem ◽  
Planning Service ◽  
Potential Customers

Path polynomials of a circuit: a constructive approach

1998 ◽  
Vol 44 (4) ◽  
pp. 313-325 ◽  
Author(s):  
C.M. DA Fonseca ◽  
J. Petronilho
Keyword(s):  
Constructive Approach

HETEROCLINIC ORBITS FOR MONOTONE TWIST MAPS THROUGH A VARIATIONAL PRINCIPLE

2001 ◽  
Vol 11 (09) ◽  
pp. 2451-2461
Author(s):  
TIFEI QIAN
Keyword(s):  
Variational Principle ◽  
Variational Method ◽  
Fixed Points ◽  
Heteroclinic Orbit ◽  
Geometric Method ◽  
Heteroclinic Orbits ◽  
Constructive Approach ◽  
Connecting Orbits ◽  
Relative Ease ◽  
Twist Maps

The variational method has shown many advantages over the geometric method in proving the existence of connecting orbits since it requires much weaker hyperbolicity and less smoothness. Many results known to be difficult to obtain by the geometric method can now be obtained by a variational principle with relative ease. In particular, a variational principle provides a constructive approach to the existence of heteroclinic orbits. In this paper a variational principle is used to construct a heteroclinic orbit between an adjacent minimal pair of fixed points for monotone twist maps on (ℝ/ℤ) × ℝ. Application of our results to a standard map is also given.

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