Author: Roland LocciPublisher:
ISBN:
Category :
Languages : fr
Pages : 172
Book Description
Contribution à l'étude des oscillations auto-entretenues
Author: Roland LocciSur un phénomène d'oscillation auto-entretenue en mécanique des fluides réels
Author: François Joseph BourrièresPublisher:
ISBN:
Category : Hydrodynamics
Languages : fr
Pages : 124
Book Description
Contribution à l'étude des oscillations non linéaires
Author: Dominique AzéContribution A' L'etude Des Oscillations Aleatoires Et Application
Author: Boris KohlerContribution à l'étude des oscillations forcées dans les asservissements par plus-ou-moins
Author: Alain Le PourhietContribution à l'étude des oscillations aléatoires et application
Author: Boris KohlerContribution à l'étude expérimentale des oscillations secondaires dans les canaux découverts
Author: Stefan BedmarczykContribution à l'étude de l'oscillations périodiques des liquides pesants avec surface libre
Author: Pierre Jolas (auteur en hydrodynamique).)Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
Book Description
History of Nonlinear Oscillations Theory in France (1880-1940)
Author: Jean-Marc GinouxPublisher: 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.
Chaos in Nature
Author: Christophe LetellierPublisher: World Scientific
ISBN: 9814374423
Category : Mathematics
Languages : en
Pages : 393
Book Description
Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. It directly comes from the Lunar theory — a three-body problem — and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using “Newtonian” mechanics. Henri Poincaré's deep intuitions were at the origin of chaos theory. They also led the meteorologist Edward Lorenz to draw the first chaotic attractor ever published. But the main idea consists of plotting a curve representative of the system evolution rather than finding an analytical solution as commonly done in classical mechanics. Such a novel approach allows the description of population interactions and the solar activity as well. Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, etc.