Author: Henri Dulac
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 70

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Book Description

Author: S.N. Pnevmatikos
Publisher: Elsevier
ISBN: 008087214X
Category : Mathematics
Languages : en
Pages : 467

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Book Description
This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests.

Author: Henri Dulac
Publisher: FeniXX
ISBN: 2706239875
Category : Science
Languages : fr
Pages : 80

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Book Description
Cet ouvrage est une réédition numérique d’un livre paru au XXe siècle, désormais indisponible dans son format d’origine.

Author:
Publisher:
ISBN:
Category : Classification
Languages : en
Pages : 266

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Book Description

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 2040

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Book Description

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 380

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Book Description

Author: Jean-marc Ginoux
Publisher: World Scientific
ISBN: 9814467634
Category : Mathematics
Languages : en
Pages : 341

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Book Description
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes).In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 760

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Book Description

Author: Éric Charpentier
Publisher: American Mathematical Soc.
ISBN: 082184718X
Category : Biography & Autobiography
Languages : en
Pages : 410

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Book Description
Henri Poincare (1854-1912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. In this book, twenty world experts present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements.

Author: Bourama Toni
Publisher: Springer
ISBN: 3319313231
Category : Mathematics
Languages : en
Pages : 654

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Book Description
This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.