Author: A. Blaquiere
Publisher: Springer
Published: 2014-05-04
Total Pages: 405
ISBN-13: 3709143306
DOWNLOAD EBOOK →Author: Andre Avez
Publisher: Academic Press
Published: 2012-12-02
Total Pages: 480
ISBN-13: 0323139523
DOWNLOAD EBOOK →Dynamical Systems and Microphysics: Geometry and Mechanics contains the proceedings of the Second International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held at the International Center for Mechanical Sciences in Udine, Italy on September 1-11, 1981. Contributors explore the geometry and mechanics of dynamical systems and microphysics and cover topics ranging from Lagrangian submanifolds and optimal control theory to Hamiltonian mechanics, linear dynamical systems, and the quantum theory of measurement. This volume is organized into six sections encompassing 30 chapters and begins with an introduction to geometric structures, mechanics, and general relativity. It considers an approach to quantum mechanics through deformation of the symplectic structure, giving a striking insight into the correspondence principle. The chapters that follow focus on the gauge invariance of the Einstein field, group treatment of the space of orbits in the Kepler problem, and stable configurations in nonlinear problems arising from physics. This book is intended for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It will also be profitably read by philosophers of science and, to some extent, by persons who have a keen interest in basic questions of contemporary mechanics and physics and some background in the physical and mathematical sciences.
Author: Austin Blaquiere
Publisher: Elsevier
Published: 2012-12-02
Total Pages: 414
ISBN-13: 0323151434
DOWNLOAD EBOOK →Dynamical Systems and Microphysics: Control Theory and Mechanics contains the proceedings of the Third International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held in Udine, Italy, on September 4-9, 1983. The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability and stability to feedback control in general relativity; adaptive control for uncertain dynamical systems; geometry of canonical transformations; and homogeneity in mechanics. This book is comprised of 14 chapters and begins by discussing the relationship between complete controllability and Poisson stabilizability in relation to to Liapounov stabilizability. The next chapter looks at the conditions that must be met in order to control a dynamical system in an optimal fashion. The theory of optimal feedback control is used as an approach to the dynamics of a mass point in general relativity. The theory of reachability with feedback control is also used as an approach to geometrical optics in the frame of general relativity. The final chapter describes a system theoretic framework for the study of Hamiltonian systems with external forces. This monograph is intended primarily for researchers and graduate students in theoretical physics, mechanics, control and system theory, and mathematics. It may also be read profitably by philosophers of science and, to some extent, by those who have a keen interest in basic questions of contemporary mechanics and physics and who possess some background in the physical and mathematical sciences.
Author: Austin Blaquière
Publisher:
Published: 1984
Total Pages: 424
ISBN-13: 9780121043650
DOWNLOAD EBOOK →Dynamical Systems and Microphysics: Control Theory and Mechanics contains the proceedings of the Third International Seminar on Mathematical Theory of Dynamical Systems and Microphysics held in Udine, Italy, on September 4-9, 1983. The papers explore the mechanics and optimal control of dynamical systems and cover topics ranging from complete controllability and stability to feedback control in general relativity; adaptive control for uncertain dynamical systems; geometry of canonical transformations; and homogeneity in mechanics. This book is comprised of 14 chapters and begins by discussing ...
Author: Austin Blaquière
Publisher: Springer Verlag
Published: 1980-01-01
Total Pages: 412
ISBN-13: 9780387815336
DOWNLOAD EBOOK →Author: Simon Diner
Publisher: World Scientific
Published: 1986
Total Pages: 298
ISBN-13: 9789971501501
DOWNLOAD EBOOK →This book commemorates the centenary of the birth of Georges David Birhoff, the father of the theory of Dynamical Systems. It consists of a volume of dedicated papers, reflecting the intellectual revolution of his work. This book is divided into four parts: Fundamental Paradigms ? Chaos, Turbulence, Attractors, Bifurcations; Dynamical Systems and Microphysics; Self-Organization and Biological Dynamical Systems; Epistemology and History.
Author: D. A. Rand
Publisher: Springer
Published: 2014-10-08
Total Pages: 392
ISBN-13: 9783662211649
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