CONTRIBUTION A L'ETUDE DE LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS D'UN SYSTEME DYNAMIQUE

CONTRIBUTION A L'ETUDE DE LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS D'UN SYSTEME DYNAMIQUE PDF Author: Jamila Hassar
Publisher:
ISBN:
Category :
Languages : fr
Pages : 84

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Book Description
ON ETUDIE LE COMPORTEMENT DYNAMIQUE D'UNE TRANSFORMATION PONCTUELLE DE R**(2), CONTINUE ET LINEAIRE PAR MORCEAUX SUIVANT QU'ELLE EST CONSERVATIVE, INVERSIBLE OU NON INVERSIBLE. ON MET EN EVIDENCE DES ATTRACTEURS SIMPLES (NOEUD, FOYER) OU COMPLEXES (ATTRACTEUR ETRANGE, ZONE CHAOTIQUE). ILS SONT CLASSES EN ATTRACTEURS FIABLES OU FORTS. ON MONTRE EN PARTICULIER L'EXISTENCE D'UNE ZONE DE "CONSERVATIVITE ATTRACTIVE". LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS EST AUSSI ETUDIEE

CONTRIBUTION A L'ETUDE DE LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS D'UN SYSTEME DYNAMIQUE

CONTRIBUTION A L'ETUDE DE LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS D'UN SYSTEME DYNAMIQUE PDF Author: Jamila Hassar
Publisher:
ISBN:
Category :
Languages : fr
Pages : 84

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Book Description
ON ETUDIE LE COMPORTEMENT DYNAMIQUE D'UNE TRANSFORMATION PONCTUELLE DE R**(2), CONTINUE ET LINEAIRE PAR MORCEAUX SUIVANT QU'ELLE EST CONSERVATIVE, INVERSIBLE OU NON INVERSIBLE. ON MET EN EVIDENCE DES ATTRACTEURS SIMPLES (NOEUD, FOYER) OU COMPLEXES (ATTRACTEUR ETRANGE, ZONE CHAOTIQUE). ILS SONT CLASSES EN ATTRACTEURS FIABLES OU FORTS. ON MONTRE EN PARTICULIER L'EXISTENCE D'UNE ZONE DE "CONSERVATIVITE ATTRACTIVE". LA COMPETITION ENTRE DEUX OU PLUSIEURS ATTRACTEURS EST AUSSI ETUDIEE

Contribution à l'identification, la modélisation et l'analyse de systèmes dynamiques à non-linéarités irrégulières

Contribution à l'identification, la modélisation et l'analyse de systèmes dynamiques à non-linéarités irrégulières PDF Author: Olivier Janin
Publisher:
ISBN:
Category :
Languages : fr
Pages : 270

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Book Description
Des systèmes dynamiques avec petit nombre de degrés de liberté et non-linéarité irrégulière sont étudiés. Les possibilités, mais surtout les limites, d'une superposition modale pour des problèmes linéaires de vibro-impact sont mises en évidence et illustrées sur le choc entre solides rigides. L'effet sur la dynamique d'un système de la présence de discontinuités de type impact ou friction dans les équations du mouvement est discuté à partir de méthodes analytiques, et en particulier la stabilité de réponses périodiques singulières est examinée dans un cadre général à un degré de liberté. D'autre part, les propriétés de convergence de schémas numériques adaptés aux systèmes mécaniques avec contrainte unilatérale sont comparées à la fois par des résultats théoriques donnant des estimations de l'erreur commise, et par des simulations numériques sur un exemple pour lequel une solution de référence est connue. L'étude se focalise notamment sur le comportement de ces différentes méthodes en présence de solutions possédant des suites infinies de chocs. Enfin, deux applications d'ingénierie pouvant être représentées par des modèles à non-linéarité irrégulières sont traitées : la première consiste en l'identification d'un grésillement parasite dans une boîte de vitesses à partir de la prise en compte de jeux mécaniques, et la seconde est consacrée à la mise en place d'une nouvelle modélisation du contact entre un solide indéformable et un sol, intégrant des phénomènes plastiques, destinée à être utilisée pour des simulations déboulements rocheux.

One-Dimensional Dynamics

One-Dimensional Dynamics PDF Author: Welington de Melo
Publisher: Springer Science & Business Media
ISBN: 3642780431
Category : Mathematics
Languages : en
Pages : 616

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Book Description
One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).

Dynamique Non-linéaire Et Le Chaos

Dynamique Non-linéaire Et Le Chaos PDF Author:
Publisher:
ISBN:
Category : Chaotic behavior in systems
Languages : en
Pages : 130

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Book Description


Functional Differential Equations with Infinite Delay

Functional Differential Equations with Infinite Delay PDF Author: Yoshiyuki Hino
Publisher: Springer
ISBN: 3540473882
Category : Mathematics
Languages : en
Pages : 326

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Book Description
In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.

The Proceedings of the 12th International Congress on Mathematical Education

The Proceedings of the 12th International Congress on Mathematical Education PDF Author: Sung Je Cho
Publisher: Springer
ISBN: 3319126881
Category : Education
Languages : en
Pages : 617

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Book Description
This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods

Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods PDF Author: R. Venkata Rao
Publisher: Springer Science & Business Media
ISBN: 1447143752
Category : Technology & Engineering
Languages : en
Pages : 297

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Book Description
Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods presents the concepts and details of applications of MADM methods. A range of methods are covered including Analytic Hierarchy Process (AHP), Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), VIšekriterijumsko KOmpromisno Rangiranje (VIKOR), Data Envelopment Analysis (DEA), Preference Ranking METHod for Enrichment Evaluations (PROMETHEE), ELimination Et Choix Traduisant la Realité (ELECTRE), COmplex PRoportional ASsessment (COPRAS), Grey Relational Analysis (GRA), UTility Additive (UTA), and Ordered Weighted Averaging (OWA). The existing MADM methods are improved upon and three novel multiple attribute decision making methods for solving the decision making problems of the manufacturing environment are proposed. The concept of integrated weights is introduced in the proposed subjective and objective integrated weights (SOIW) method and the weighted Euclidean distance based approach (WEDBA) to consider both the decision maker’s subjective preferences as well as the distribution of the attributes data of the decision matrix. These methods, which use fuzzy logic to convert the qualitative attributes into the quantitative attributes, are supported by various real-world application examples. Also, computer codes for AHP, TOPSIS, DEA, PROMETHEE, ELECTRE, COPRAS, and SOIW methods are included. This comprehensive coverage makes Decision Making in Manufacturing Environment Using Graph Theory and Fuzzy Multiple Attribute Decision Making Methods a key reference for the designers, manufacturing engineers, practitioners, managers, institutes involved in both design and manufacturing related projects. It is also an ideal study resource for applied research workers, academicians, and students in mechanical and industrial engineering.

Complexity Theory and the Philosophy of Education

Complexity Theory and the Philosophy of Education PDF Author: Mark Mason
Publisher: John Wiley & Sons
ISBN: 1444307363
Category : Education
Languages : en
Pages : 256

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Book Description
A collection of scholarly essays, Complexity Theory and thePhilosophy of Education provides an accessible theoreticalintroduction to the topic of complexity theory while consideringits broader implications for educational change. Explains the contributions of complexity theory to philosophyof education, curriculum, and educational research Brings together new research by an international team ofcontributors Debates issues ranging from the culture of curriculum, to theimplications of work of key philosophers such as Foucault and JohnDewey for educational change Demonstrates how social scientists and social and educationpolicy makers are drawing on complexity theory to answer questionssuch as: why is it that education decision-makers are so resistantto change; how does change in education happen; and what does ittake to make these changes sustainable? Considers changes in use of complexity theory; developedprincipally in the fields of physics, biology, chemistry, andeconomics, and now being applied more broadly to the socialsciences and to the study of education

Chaos in Discrete Dynamical Systems

Chaos in Discrete Dynamical Systems PDF Author: Ralph Abraham
Publisher: Springer Science & Business Media
ISBN: 1461219361
Category : Mathematics
Languages : en
Pages : 257

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Book Description
The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.

Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations

Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations PDF Author: Jacob Palis Júnior
Publisher: Cambridge University Press
ISBN: 9780521475723
Category : Mathematics
Languages : en
Pages : 248

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Book Description
A self-contained introduction to the classical theory and its generalizations, aimed at mathematicians and scientists working in dynamical systems.