Singularities of K-tuples of Vector Fields PDF Download
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Author: Bronisław Jakubczyk
Publisher:
ISBN:
Category : Germs (Mathematics)
Languages : en
Pages : 76
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Book Description
Author: Bronisław Jakubczyk
Publisher:
ISBN:
Category : Germs (Mathematics)
Languages : en
Pages : 76
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Book Description
Author: Bronislaw Jakubczyk
Publisher:
ISBN:
Category :
Languages : en
Pages : 81
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Book Description
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
ISBN: 366206796X
Category : Mathematics
Languages : en
Pages : 346
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Book Description
A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.
Author: Ulrich Koschorke
Publisher: Springer
ISBN: 3540385460
Category : Mathematics
Languages : en
Pages : 309
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Book Description
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Author: Jean-Paul Brasselet
Publisher: Springer
ISBN: 3642052053
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Many authors have questioned the use of the index of the vector field, and of the Chern classes, if the underlying space becomes singular. This book discusses their explorations within the framework of the obstruction theory and the Chern-Weil theory.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 642
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Book Description
Author: Sussmann
Publisher: Routledge
ISBN: 1351428322
Category : Mathematics
Languages : en
Pages : 690
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Book Description
This outstanding reference presents current, state-of-the-art research on importantproblems of finite-dimensional nonlinear optimal control and controllability theory. Itpresents an overview of a broad variety of new techniques useful in solving classicalcontrol theory problems.Written and edited by renowned mathematicians at the forefront of research in thisevolving field, Nonlinear Controllability and Optimal Control providesdetailed coverage of the construction of solutions of differential inclusions by means ofdirectionally continuous sections ... Lie algebraic conditions for local controllability... the use of the Campbell-Hausdorff series to derive properties of optimal trajectories... the Fuller phenomenon ... the theory of orbits ... and more.Containing more than 1,300 display equations, this exemplary, instructive reference is aninvaluable source for mathematical researchers and applied mathematicians, electrical andelectronics, aerospace, mechanical, control, systems, and computer engineers, and graduatestudents in these disciplines .
Author: Richard Montgomery
Publisher: American Mathematical Soc.
ISBN: 0821841653
Category : Mathematics
Languages : en
Pages : 282
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Book Description
Subriemannian geometries can be viewed as limits of Riemannian geometries. They arise naturally in many areas of pure (algebra, geometry, analysis) and applied (mechanics, control theory, mathematical physics) mathematics, as well as in applications (e.g., robotics). This book is devoted to the study of subriemannian geometries, their geodesics, and their applications. It starts with the simplest nontrivial example of a subriemannian geometry: the two-dimensional isoperimetric problem reformulated as a problem of finding subriemannian geodesics. Among topics discussed in other chapters of the first part of the book are an elementary exposition of Gromov's idea to use subriemannian geometry for proving a theorem in discrete group theory and Cartan's method of equivalence applied to the problem of understanding invariants of distributions. The second part of the book is devoted to applications of subriemannian geometry. In particular, the author describes in detail Berry's phase in quantum mechanics, the problem of a falling cat righting herself, that of a microorganism swimming, and a phase problem arising in the $N$-body problem. He shows that all these problems can be studied using the same underlying type of subriemannian geometry. The reader is assumed to have an introductory knowledge of differential geometry. This book that also has a chapter devoted to open problems can serve as a good introduction to this new, exciting area of mathematics.
Author: Rudolf Albrecht
Publisher: Springer Science & Business Media
ISBN: 3709164516
Category : Computers
Languages : en
Pages : 320
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Book Description
There is hardly a science that is without the notion of "system". We have systems in mathematics, formal systems in logic, systems in physics, electrical and mechanical engineering, architectural-, operating-, infonnation-, programming systems in computer science, management-and PJoduction systems in industrial applications, economical-, ecological-, biological systems, and many more. In many of these disciplines formal tools for system specification, construction, verification, have been developed as well as mathematical concepts for system modeling and system simulation. Thus it is quite natural to expect that systems theory as an interdisciplinary and well established science offering general concepts and methods for a wide variety of applications is a subject in its own right in academic education. However, as can be seen from the literature and from the curricula of university studies -at least in Central Europe-, it is subordinated and either seen as part of mathematics with the risk that mathematicians, who may not be familiar with applications, define it in their own way, or it is treated separately within each application field focusing on only those aspects which are thought to be needed in the particular application. This often results in uneconomical re-inventing and re-naming of concepts and methods within one field, while the same concepts and methods are already well introduced and practiced in other fields. The fundamentals on general systems theory were developed several decades ago. We note the pioneering work of M. A. Arbib, R. E. Kalman, G. 1. Klir, M. D.
Author: Freddy Dumortier
Publisher:
ISBN:
Category : Singularities (Mathematics).
Languages : en
Pages : 210
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Book Description
