scholarly journals On the Hilbert-Samuel partition of stable map-germs

1983 ◽  
Vol 79 ◽  
pp. 327-358
Author(s):  
James Damon ◽  
André Galligo
Keyword(s):  
Stable Map

scholarly journals Approximation of additive functional equations in NA Lie C*-algebras

2018 ◽  
Vol 51 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Zhihua Wang ◽  
Reza Saadati
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Functional Equations ◽  
Additive Functional ◽  
Fixed Point Method ◽  
Content Type ◽  
Additive Functional Equation ◽  
C Algebras ◽  
Stable Map ◽  
Higher Derivation

AbstractIn this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional equation,where m ≥ 2.

A topological invariant for stable map germs

1976 ◽  
Vol 32 (2) ◽  
pp. 103-132 ◽  
Author(s):  
James Damon ◽  
Andr� Galligo
Keyword(s):  
Topological Invariant ◽  
Stable Map

scholarly journals A Note on Ergodicity of Systems with the Asymptotic Average Shadowing Property

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Risong Li ◽  
Xiaoliang Zhou
Keyword(s):  
Metric Space ◽  
Compact Metric Space ◽  
Shadowing Property ◽  
Topologically Transitive ◽  
Stable Map ◽  
Asymptotic Average Shadowing

We prove that if a continuous, Lyapunov stable mapffrom a compact metric spaceXinto itself is topologically transitive and has the asymptotic average shadowing property, thenXis consisting of one point. As an application, we prove that the identity mapiX:X→Xdoes not have the asymptotic average shadowing property, whereXis a compact metric space with at least two points.

Cr [Kscr ]-versality of the graph deformation of a Cr stable map-germ

1999 ◽  
Vol 127 (1) ◽  
pp. 93-97 ◽  
Author(s):  
TAKASHI NISHIMURA
Keyword(s):  
Stable Map

In his celebrated paper [7], Martinet showed the equivalence between the infinitesimal versality and the versality for [Ascr ]- and [Kscr ]-morphisms. By using this theorem, he obtained the following Theorem 1·1 which played one of the key roles for the classification of C∞ stable map-germs ([1, 7]).

scholarly journals Tautological rings of stable map spaces

2008 ◽  
Vol 217 (4) ◽  
pp. 1728-1755
Author(s):  
Anca M. Mustaţǎ ◽  
Andrei Mustaţǎ
Keyword(s):  
Stable Map ◽  
Tautological Rings

scholarly journals The Reeb Graph of a Map Germ from ℝ3 to ℝ2 with Isolated Zeros

2016 ◽  
Vol 60 (2) ◽  
pp. 319-348 ◽  
Author(s):  
Erica Boizan Batista ◽  
João Carlos Ferreira Costa ◽  
Juan J. Nuño-Ballesteros
Keyword(s):  
Structure Theorem ◽  
Topological Type ◽  
Topological Invariant ◽  
Topological Equivalence ◽  
Stable Maps ◽  
Reeb Graph ◽  
Cone Structure ◽  
Topological Description ◽  
Stable Map

AbstractWe consider finitely determined map germs f : (ℝ3, 0) → (ℝ2, 0) with f–1(0) = {0} and we look at the classification of this kind of germ with respect to topological equivalence. By Fukuda's cone structure theorem, the topological type of f can be determined by the topological type of its associated link, which is a stable map from S2 to S1. We define a generalized version of the Reeb graph for stable maps γ : S2→ S1, which turns out to be a complete topological invariant. If f has corank 1, then f can be seen as a stabilization of a function h0: (ℝ2, 0) → (ℝ, 0), and we show that the Reeb graph is the sum of the partial trees of the positive and negative stabilizations of h0. Finally, we apply this to give a complete topological description of all map germs with Boardman symbol Σ2, 1.

Fuzzy transition region in a one-dimensional coupled-stable-map lattice

1998 ◽  
Vol 57 (3) ◽  
pp. 2703-2712 ◽  
Author(s):  
F. Cecconi ◽  
R. Livi ◽  
A. Politi
Keyword(s):  
Transition Region ◽  
One Dimensional ◽  
Stable Map

From Universal Classification to a Postcoordinated Universe

2020 ◽  
Author(s):  
Bernhard Rieder
Keyword(s):  
Information Retrieval ◽  
Classification System ◽  
Database Management ◽  
Expressive Power ◽  
Knowledge Organization ◽  
Relational Model ◽  
Stable Map ◽  
The Universe

This chapter starts off from standard takes on knowledge organization and classification in libraries and encyclopedias, but then zeros in on the field of information retrieval, which develops in fundamental opposition to even the most visionary of library techniques. Coordinate indexing, the first technique in this lineage, is explicitly designed to eliminate the influence of librarians and other knowledge mediators by shifting expressive power from the classification system to the query and, by extension, to the information seeker. Order is no longer understood as a stable map to the universe of knowledge but increasingly as the outcome of a dynamic and purpose-driven process of ordering. The chapter closes by discussing coordinate indexing as a precursor of the relational model for database management.

Parametric Oscillation Model of Crane with Lifting Motor Reducing Load Swing

2009 ◽  
Vol 16-19 ◽  
pp. 30-33
Author(s):  
Wei Li ◽  
Xiang Peng Hu
Keyword(s):  
Lagrange Equation ◽  
Standard Form ◽  
Vertical Motion ◽  
Hill Equation ◽  
Parametric Oscillation ◽  
Oscillation Model ◽  
Stable Map ◽  
Damped Oscillation ◽  
Load Swing ◽  
The Mathematical Model

Dynamic characteristic was analyzed for the hydraulic anti-sway system,and established the mathematical model of crane system by using Lagrange equation. For crane load swing problems, established the Parametric oscillation model of crane, through coordinate transformation, transformed the differential equation of crane into the standard form of Hill equation, and with research on Hill equation we can get the condition about damped oscillation. With the introduction of the parameter plane, the stable map of Hill equation can be drawed, i.e. the map of load damped oscillation. We used MATLAB-Simulink to simulate. The vertical motion of hoist has obvious influence on load sway. Through controlling cable length lifting motor has some good help to lowering sway angl of crane load.

Sign in / Sign up

Export Citation Format

Share Document