Geometric, Control and Numerical Aspects of Nonholonomic Systems
Geometric, Control and Numerical Aspects of Nonholonomic Systems

Author: Jorge Cortés Monforte

Publisher: Springer

Published: 2004-10-19

Total Pages: 235

ISBN-13: 3540457305

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Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Geometric, Control and Numerical Aspects of Nonholonomic Systems
Geometric, Control and Numerical Aspects of Nonholonomic Systems

Author: Jorge Cortés Monforte

Publisher: Springer Science & Business Media

Published: 2002-09-11

Total Pages: 244

ISBN-13: 9783540441540

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Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

Representation Theory and Complex Analysis
Representation Theory and Complex Analysis

Author: Michael Cowling

Publisher: Springer Science & Business Media

Published: 2008-02-27

Total Pages: 400

ISBN-13: 3540768912

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Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Nonholonomic Mechanics and Control
Nonholonomic Mechanics and Control

Author: A.M. Bloch

Publisher: Springer Science & Business Media

Published: 2007-09-27

Total Pages: 501

ISBN-13: 0387955356

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This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.

Nonholonomic Mechanics and Control
Nonholonomic Mechanics and Control

Author: A.M. Bloch

Publisher: Springer Science & Business Media

Published: 2008-02-03

Total Pages: 498

ISBN-13: 0387216448

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This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints. The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts. The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.

Hydrodynamic Limits of the Boltzmann Equation
Hydrodynamic Limits of the Boltzmann Equation

Author: Laure Saint-Raymond

Publisher: Springer

Published: 2009-04-20

Total Pages: 203

ISBN-13: 3540928472

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The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

Random Polymers
Random Polymers

Author: Frank Hollander

Publisher: Springer Science & Business Media

Published: 2009-05-14

Total Pages: 271

ISBN-13: 364200332X

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Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.

Donaldson Type Invariants for Algebraic Surfaces
Donaldson Type Invariants for Algebraic Surfaces

Author: Takuro Mochizuki

Publisher: Springer Science & Business Media

Published: 2009-03-26

Total Pages: 404

ISBN-13: 3540939121

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We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface.We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants. Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case!

Methods of Contemporary Mathematical Statistical Physics
Methods of Contemporary Mathematical Statistical Physics

Author: Marek Biskup

Publisher: Springer

Published: 2009-07-31

Total Pages: 356

ISBN-13: 3540927964

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This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.