scholarly journals Design of maneuvers based on new normal form approximations: The case study of the CPRTBP

2014 ◽  
Author(s):  
Rocío Isabel Páez ◽  
Ugo LOCATELLI
Keyword(s):  
Normal Form ◽  
New Normal

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 Normal form approach in the motion planning of space robots: a case study

2021 ◽  
Author(s):  
Krzysztof Tchoń ◽  
Katarzyna Zadarnowska
Keyword(s):  
Normal Form ◽  
Motion Planning ◽  
Normal Forms ◽  
Inverse Dynamics ◽  
Planning Problem ◽  
Inverse Dynamics Problem ◽  
Velocity Level ◽  
Form Approach ◽  
Space Approach

AbstractWe examine applicability of normal forms of non-holonomic robotic systems to the problem of motion planning. A case study is analyzed of a planar, free-floating space robot consisting of a mobile base equipped with an on-board manipulator. It is assumed that during the robot’s motion its conserved angular momentum is zero. The motion planning problem is first solved at velocity level, and then torques at the joints are found as a solution of an inverse dynamics problem. A novelty of this paper lies in using the chained normal form of the robot’s dynamics and corresponding feedback transformations for motion planning at the velocity level. Two basic cases are studied, depending on the position of mounting point of the on-board manipulator. Comprehensive computational results are presented, and compared with the results provided by the Endogenous Configuration Space Approach. Advantages and limitations of applying normal forms for robot motion planning are discussed.

scholarly journals STRATEGI LAYANAN PERPUSTAKAAN PERGURUAN TINGGI PADA MASA NEW NORMAL (STUDI KASUS UPT PERPUSTAKAAN UNIVERSITAS RIAU)

2021 ◽  
Vol 8 (2) ◽  
pp. 111-118
Author(s):  
Sastria Izprilla ◽  
Vita Amelia ◽  
Hadira Latiar
Keyword(s):  
Digital Libraries ◽  
Service Sector ◽  
Library Services ◽  
New Normal ◽  
University Library ◽  
Normal Period ◽  
It Department ◽  
Descriptive Approach ◽  
The University

This research is entitled strategy of university library services in the new normal period case study of the technical implementation unit (UPT) of the University of Riau library. The purpose of this study was to determine the service strategy taken by the technical implementing unit (UPT) of the Riau University library in the new normal era. The method used in this research is qualitative with a descriptive approach. The processing method uses data reduction, data presentation, and conclusions. The informants in this study were the head of the library, the head of the service sector, and the head of the IT department. The results of this study are that there are several strategies taken by the Riau University library, that is the development of digital libraries that must be accelerated and add supporting applications to ensure the smooth distribution of information to users.

scholarly journals FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS

2011 ◽  
Vol 20 (07) ◽  
pp. 995-1019 ◽  
Author(s):  
TETSUYA ITO
Keyword(s):  
Normal Form ◽  
Braid Group ◽  
Ordered Set ◽  
Order Type ◽  
New Normal ◽  
Combinatorial Description ◽  
Group B

For a finite Thurston-type ordering < of the braid group Bn, we introduce a new normal form of a dual positive braid which we call the [Formula: see text]-normal form, which is useful to compute the ordering. This normal form extends Fromentin's rotating normal form and the author's [Formula: see text]-normal form of positive braids. Using the [Formula: see text]-normal form, we give a combinatorial description of the restriction of the ordering < to the dual braid monoids [Formula: see text]. We prove that the restriction to the dual positive monoid [Formula: see text] is a well-ordered set of the order type ωωn-2.

A NORMAL FORM FOR BRAIDS

2008 ◽  
Vol 17 (06) ◽  
pp. 697-732 ◽  
Author(s):  
XAVIER BRESSAUD
Keyword(s):  
Normal Form ◽  
Regular Language ◽  
Braid Groups ◽  
New Normal ◽  
Geometric Action

We present a seemingly new normal form for braids, where every braid is expressed using a word in a regular language on some simple alphabet of elementary braids. This normal form stems from analysing the geometric action of braid groups on curves in a punctured disk.

scholarly journals An Algorithm for Computing a New Normal Form for Dynamical Systems

2000 ◽  
Vol 29 (3) ◽  
pp. 393-418 ◽  
Author(s):  
Guoting Chen ◽  
Jean Della Dora
Keyword(s):  
Dynamical Systems ◽  
Normal Form ◽  
New Normal
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