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Author: Frédéric Pham
Publisher: Springer Science & Business Media
ISBN: 1475714572
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Author: Frédéric Pham
Publisher: Springer Science & Business Media
ISBN: 1475714572
Category : Mathematics
Languages : en
Pages : 344
Get Book Here
Book Description
Author: Frederic Fauvet
Publisher: Walter de Gruyter
ISBN: 3110200007
Category : Mathematics
Languages : en
Pages : 257
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Book Description
This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered include irregular connections, rank reduction and summability of solutions of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi-polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The interactions between computer algebra, dynamical systems and combinatorics discussed in this volume should be useful for both mathematicians and theoretical physicists who are interested in effective computation.
Author: Werner Balser
Publisher: Springer Science & Business Media
ISBN: 0387225986
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.
Author: J.-M. Bony
Publisher: Springer Science & Business Media
ISBN: 4431684131
Category : Mathematics
Languages : en
Pages : 237
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Book Description
Microlocal analysis began around 1970 when Mikio Sato, along with coauthors Masaki Kashiwara and Takahiro Kawai, wrote a decisive article on the structure of pseudodifferential equations, thus laying the foundation of D-modules and the singular spectrums of hyperfunctions. The key idea is the analysis of problems on the phase space, i.e., the cotangent bundle of the base space. Microlocal analysis is an active area of mathematical research that has been applied to many fields such as real and complex analysis, representation theory, topology, number theory, and mathematical physics. This volume contains the presentations given at a seminar jointly organized by the Japan Society for the Promotion of Science and Centre National des Recherches Scientifiques entitled New Trends in Microlocal Analysis. The book is divided into three parts: partial differential equations and mathematical analysis, mathematical physics, and algebraic analysis - D-modules and sheave theory. The large variety of new research that is covered will prove invaluable to students and researchers alike.
Author: GROSSARD Mathieu
Publisher: Lavoisier
ISBN: 2746295091
Category : Automatic control
Languages : en
Pages : 395
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Book Description
Qu’il s’agisse de tâches de préhension versatile aux échelles du micromonde ou bien de tâches de manipulation fine ou dextre à une échelle dimensionnelle supérieure, la fonction de manipulation robotique nécessite l’utilisation de systèmes mécatroniques performants et précis. Dans la majorité des cas, ceux-ci mettent en jeu des mécanismes qui sont caractérisés par des phénomènes mécaniques de flexibilité. Ces phénomènes sont induits naturellement par l’emploi de certains composants technologiques constitutifs du système ou par la géométrie de certaines structures élancées. Il peut alors s’agir de micromanipulateurs à base de matériaux actifs, de bras manipulateurs légers, d’organes terminaux de préhension très intégrés sur le plan fonctionnel, voire de manipulateurs d’inspiration anthropomorphe. Aperçu des dernières avancées scientifiques et technologiques en la matière, cet ouvrage est destiné à toute personne intéressée par le champ de la robotique flexible et plus particulièrement par la manipulation.
Author: Percy Deift
Publisher: American Mathematical Soc.
ISBN: 9780821897003
Category : Mathematics
Languages : en
Pages : 284
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Book Description
This volume contains some of the lectures presented in June 1994 during the AMS-SIAM Summer Seminar at the Mathematical Sciences Research Institute in Berkeley. The goal of the seminar was to introduce participants to as many interesting and active applications of dynamical systems and probabilistic methods to problems in applied mathematics as possible. As a result, this book covers a great deal of ground. Nevertheless, the pedagogical orientation of the lectures has been retained, and therefore the book will serve as an ideal introduction to these varied and interesting topics.
Author: Yasuhiro Takeuchi
Publisher: World Scientific
ISBN: 9814499633
Category : Mathematics
Languages : en
Pages : 316
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Book Description
Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.
Author: Eugene L. Allgower
Publisher: American Mathematical Soc.
ISBN: 9780821896945
Category : Mathematics
Languages : en
Pages : 788
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Book Description
Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.
Author: Michèle Loday-Richaud
Publisher: SMF
ISBN:
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This first of two bound volumes present the proceedings of the conference, Complex Analysis, Dynamical Systems, Summability of Divergent Series and Galois Theories, held in Toulouse on the occasion of J.-P. Ramis' sixtieth birthday. The first volume opens with two articles composed of recollections and three articles on J.-P. Ramis' works on complex analysis and ODE theory, both linear and non-linear. This introduction is followed by papers concerned with Galois theories, arithmetic or integrability: analogies between differential and arithmetical theories, $q$-difference equations, classical or $p$-adic, the Riemann-Hilbert problem and renormalization, $b$-functions, descent problems, Krichever modules, the set of integrability, Drach theory, and the VI${}^{{th}}$ Painleve equation. The second volume contains papers dealing with analytical or geometrical aspects: Lyapunov stability, asymptotic and dynamical analysis for pencils of trajectories, monodromy in moduli spaces, WKB analysis and Stokes geometry, first and second Painleve equations, normal forms for saddle-node type singularities, and invariant tori for PDEs. The volumes are suitable for graduate students and researchers interested in differential equations, number theory, geometry, and topology.
Author: Y. Takeuchi
Publisher: World Scientific
ISBN: 9789810224714
Category : Science
Languages : en
Pages : 324
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Book Description
Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.
