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Book Description
L'OBJET DE L'ETUDE EST LA DETERMINATION DU PORTRAIT DE PHASE GLOBAL DE L'EQUATION X+ALPHA X+OMEGA ::(0)**(2) SIN X=H SIN OMEGA T. SE BASANT SUR LA RECURRENCE ASSOCIEE, ON A DETERMINE UN CERTAIN NOMBRE DE SINGULARITES PONCTUELLES, SACHANT QUE CES SINGULARITES ONT UNE CORRESPONDANCE BIUNIVOQUE AVEC LES SOLUTIONS PERIODIQUES DE L'EQUATION DIFFERENTIELLE. ON A APPLIQUE LA METHODE DE POINCARE ET LA METHODE ASYMPTOTIQUE POUR DETERMINER PLUSIEURS SOLUTIONS PERIODIQUES EXPLICITES DE L'EQUATION. ON A PU NOTER D'UNE PART QUE LA THEORIE QUASI LINEAIRE NE S'APPLIQUE PAS TOUJOURS, ET D'AUTRE PART QUE CES METHODES DONNENT UNE BONNE APPROXIMATION DES SOLUTIONS REELLES SURTOUT AU VOISINAGE DES VALEURS DE BIFURCATION. ENSUITE, ON A UTILISE UNE MODIFICATION DE LA METHODE DE VON ZEIPEL PERMETTANT D'OBTENIR UNE APPROXIMATION DES COURBES INVARIANTES. ENFIN, ON A ETUDIE L'EVOLUTION DU PORTRAIT DE PHASE EN FONCTION DES PARAMETRES CE QUI NOUS A PERMIS DE CONSTATER QU'UNE AUGMENTATION DE L'AMPLITUDE DE LA FORCE EXTERIEURE FAIT DISPARAITRE CERTAINES RESONANCES ET ACCENTUE LE CARACTERE CHAOTIQUE DES AUTRES
Book Description
L'OBJET DE L'ETUDE EST LA DETERMINATION DU PORTRAIT DE PHASE GLOBAL DE L'EQUATION X+ALPHA X+OMEGA ::(0)**(2) SIN X=H SIN OMEGA T. SE BASANT SUR LA RECURRENCE ASSOCIEE, ON A DETERMINE UN CERTAIN NOMBRE DE SINGULARITES PONCTUELLES, SACHANT QUE CES SINGULARITES ONT UNE CORRESPONDANCE BIUNIVOQUE AVEC LES SOLUTIONS PERIODIQUES DE L'EQUATION DIFFERENTIELLE. ON A APPLIQUE LA METHODE DE POINCARE ET LA METHODE ASYMPTOTIQUE POUR DETERMINER PLUSIEURS SOLUTIONS PERIODIQUES EXPLICITES DE L'EQUATION. ON A PU NOTER D'UNE PART QUE LA THEORIE QUASI LINEAIRE NE S'APPLIQUE PAS TOUJOURS, ET D'AUTRE PART QUE CES METHODES DONNENT UNE BONNE APPROXIMATION DES SOLUTIONS REELLES SURTOUT AU VOISINAGE DES VALEURS DE BIFURCATION. ENSUITE, ON A UTILISE UNE MODIFICATION DE LA METHODE DE VON ZEIPEL PERMETTANT D'OBTENIR UNE APPROXIMATION DES COURBES INVARIANTES. ENFIN, ON A ETUDIE L'EVOLUTION DU PORTRAIT DE PHASE EN FONCTION DES PARAMETRES CE QUI NOUS A PERMIS DE CONSTATER QU'UNE AUGMENTATION DE L'AMPLITUDE DE LA FORCE EXTERIEURE FAIT DISPARAITRE CERTAINES RESONANCES ET ACCENTUE LE CARACTERE CHAOTIQUE DES AUTRES
Author: Publisher: Lulu.com ISBN: 1430318678 Category : Reference Languages : en Pages : 385
Book Description
This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Author: Jean-Marc Ginoux Publisher: Springer ISBN: 3319552392 Category : Technology & Engineering Languages : en Pages : 402
Book Description
This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's role has been significant. Important contributions were made through both the work of French scholars from within diverse disciplines (mathematicians, physicists, engineers), and through the geographical crossroads that France provided to scientific communication at the time. This study includes an examination of the period before the First World War which is vital to understanding the work of the later period. By examining literature sources such as periodicals on the topic of electricity from that era, the author has unearthed a very important text by Henri Poincaré, dating from 1908. In this work Poincaré applied the concept of limit cycle (which he had introduced in 1882 through his own works) to study the stability of the oscillations of a device for radio engineering. The “discovery” of this text means that the classical perspective of the historiography of this mathematical theory must be modified. Credit was hitherto attributed to the Russian mathematician Andronov, from correspondence dating to 1929. In the newly discovered Poincaré text there appears to be a strong interaction between science and technology or, more precisely, between mathematical analysis and radio engineering. This feature is one of the main components of the process of developing the theory of nonlinear oscillations. Indeed it is a feature of many of the texts referred to in these chapters, as they trace the significant developments to which France contributed. Scholars in the fields of the history of mathematics and the history of science, and anyone with an interest in the philosophical underpinnings of science will find this a particularly engaging account of scientific discovery and scholarly communication from an era full of exciting developments.
Author: Don Montague Publisher: Taylor & Francis ISBN: 9780419199106 Category : Architecture Languages : en Pages : 472
Book Description
This dual-language dictionary lists over 20,000 specialist terms in both French and English, covering architecture, building, engineering and property terms. It meets the needs of all building professionals working on projects overseas. It has been comprehensively researched and compiled to provide an invaluable reference source in an increasingly European marketplace.
Author: Mario Lucertini Publisher: Birkhäuser ISBN: 3034879512 Category : Mathematics Languages : en Pages : 261
Book Description
This collection of historical research studies covers the evolution of technology as knowledge, the emergence of an autonomous engineering science in the Industrial Age, the idea of scientific managment of production and operation systems, and the interaction between mathematical models and technological concepts. The book is published with the support of the UNESCO Venice Office - Regional Office for Science & Technology in Europe as an activity of the Project: The evolution of events, concepts and models in engineering systems.
Author: A. A. Andronov Publisher: Elsevier ISBN: 1483194728 Category : Science Languages : en Pages : 848
Book Description
Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.
Author: SETTONHOUE EUGENE.. AZATASSOU
Author: SETTONHOUE EUGENE.. AZATASSOU
Author: 
Author: International Union of Theoretical and Applied Mechanics
Author: Jean-Marc Ginoux
Author: Don Montague
Author: Mario Lucertini
Author: A. A. Andronov
Author: A. A. Andronov
Author: Nicolai Minorsky
Author: Nicolai Minorsky