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Continuum Theory And Dynamical Systems
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Book Synopsis Continuum Theory & Dynamical Systems by : Thelma West
Download or read book Continuum Theory & Dynamical Systems written by Thelma West and published by CRC Press. This book was released on 1993-08-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.;Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum concerning the minimum number of fixed points for an area preserving homeomorphism of the two disc; constructs a closed unit disc that admits many inequivalent homeomorphisms that are Denjoy on the boundary and distinct irrational rotations on the interior; gives a geometric description of a horseshoe-type mapping of a plane disc into itself whose attracting set is not chainable; and considers semigroups generated by maps topologically conjugate to contractions.;Written by experts who provide a cross-disciplinary perspective, this volume is intended for applied mathematicians, topologists, geomesters, physicists and graduate-level students in these disciplines.
Book Synopsis Continuum Theory and Dynamical Systems by : Morton Brown
Download or read book Continuum Theory and Dynamical Systems written by Morton Brown and published by American Mathematical Soc.. This book was released on 1991 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Relationships between Continuum Theory and the Theory of Dynamical Systems, held at Humboldt State University in Arcata, California in June 1989. The conference reflected recent interactions between dynamical systems and continuum theory. Illustrating the increasing confluence of these two areas, this volume contains introductory papers accessible to mathematicians and graduate students in any area of mathematics, as well as papers aimed more at specialists. Most of the papers are concerned with the dynamics of surface homeomorphisms or of continua that occur as attractors for surface homeomorphisms.
Book Synopsis Continuum Theory & Dynamical Systems by : Thelma West
Download or read book Continuum Theory & Dynamical Systems written by Thelma West and published by CRC Press. This book was released on 1993-08-05 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this reference illustrates the current expansion of knowledge on the relationship between these subjects. It presents new problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.;Explaining the definitions and techniques used in the two fields and providing results from both areas, this volume: examines prime end (accessible) rotation numbers for chaotic sets and Henon maps; discussed the connection between the rotation shadowing property and the structure of the rotation set for annulus homeomorphisms; offers a Nielson-type theorum concerning the minimum number of fixed points for an area preserving homeomorphism of the two disc; constructs a closed unit disc that admits many inequivalent homeomorphisms that are Denjoy on the boundary and distinct irrational rotations on the interior; gives a geometric description of a horseshoe-type mapping of a plane disc into itself whose attracting set is not chainable; and considers semigroups generated by maps topologically conjugate to contractions.;Written by experts who provide a cross-disciplinary perspective, this volume is intended for applied mathematicians, topologists, geomesters, physicists and graduate-level students in these disciplines.
Book Synopsis Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity by : Attila Askar
Download or read book Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity written by Attila Askar and published by World Scientific. This book was released on 1986-07-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.
Download or read book Inverse Limits written by W.T. Ingram and published by Springer Science & Business Media. This book was released on 2011-11-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families. This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.
Download or read book Continua written by Howard Cook and published by CRC Press. This book was released on 2020-12-18 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the special session on Modern Methods in Continuum Theory presented at the 100th Annual Joint Mathematics Meetings held in Cincinnati, Ohio. It also features the Houston Problem Book which includes a recently updated set of 200 problems accumulated over several years at the University of Houston.;These proceedings and problems are aimed at pure and applied mathematicians, topologists, geometers, physicists and graduate-level students in these disciplines.
Book Synopsis Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium by : Konstantin Z Markov
Download or read book Continuum Models And Discrete Systems - Proceedings Of The Eighth International Symposium written by Konstantin Z Markov and published by World Scientific. This book was released on 1996-01-15 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this symposium is to bring together scientists working on continuum theories of discrete mechanical and thermodynamical systems in the realm of mathematics, theoretical and applied mechanics, physics, material science and engineering. It aims to join together the divergent languages, questions and methods developed in the respective disciplines and to stimulate broad interdisciplinary exchange of ideas and results. The main topics, discussed in the lectures, concern thermodynamics, transport theory, statistical mechanics; continuum mechanics of complex fluids and deformable solids with microstructure; continuum theory of living structures; defect dynamics, synergetics, solitons, coherent structures; dislocations and plasticity; fundamentals of fracture mechanics.
Book Synopsis A Dynamical Systems Theory of Thermodynamics by : Wassim M. Haddad
Download or read book A Dynamical Systems Theory of Thermodynamics written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2019-06-04 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.
Book Synopsis A First Course in Continuum Mechanics by : Oscar Gonzalez
Download or read book A First Course in Continuum Mechanics written by Oscar Gonzalez and published by Cambridge University Press. This book was released on 2008-01-17 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.
Book Synopsis Hamiltonian Dynamical Systems and Applications by : Walter Craig
Download or read book Hamiltonian Dynamical Systems and Applications written by Walter Craig and published by Springer Science & Business Media. This book was released on 2008-02-17 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.
Download or read book Dynamics Reported written by and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: DYNAMICS REPORTED reports on recent developments in dynamical systems. Dynamical systems of course originated from ordinary differential equations. Today, dynamical systems cover a much larger area, including dynamical pro cesses described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques are proving to be of considerable interest to scientists in rather different fields. It is not surprising that thousands of publications on the theory itself and on its various applications are appearing. DYNAMICS REPORTED presents carefully written articles on major sub jects in dynamical systems and their applications, addressed not only to special ists but also to a broader range of readers including graduate students. Topics are advanced, while detailed exposition of ideas, restriction to typical result- rather than the most general ones - and, last but not least, lucid proofs help to gain the utmost degree of clarity. It is hoped, that DYNAMICS REPORTED will be useful for those enter ing the field and will stimulate an exchange of ideas among those working in dynamical systems.
Book Synopsis Continuum Models And Discrete Systems - Proceedings Of The 9th International Symposium (Cmds9) by : Esin Inan
Download or read book Continuum Models And Discrete Systems - Proceedings Of The 9th International Symposium (Cmds9) written by Esin Inan and published by World Scientific. This book was released on 1998-12-07 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with continuum theories of discrete mechanical and thermodynamical systems in the fields of mathematics, theoretical and applied mechanics, physics, materials science and engineering.
Book Synopsis Continuum Models and Discrete Systems by : Gérard A. Maugin
Download or read book Continuum Models and Discrete Systems written by Gérard A. Maugin and published by . This book was released on 1990 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Continuum Models and Discrete Systems contains the text of many shorter contributions presented at the sixth CMDS conference. As with earlier symposia in the series, the purpose of the symposium was to bring together internationally renowned researchers concerned with various aspects of continuum modelling of discrete systems.
Download or read book Continuum Theory written by Sam Nadler and published by CRC Press. This book was released on 2017-07-12 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology. Introduces continuum theory through a combination of classical and modern techniques. Annotation copyright Book News, Inc. Portland, Or.
Book Synopsis Continuum Theory by : Alejandro Illanes
Download or read book Continuum Theory written by Alejandro Illanes and published by CRC Press. This book was released on 2002-07-25 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of
Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Book Synopsis Dynamical Systems and Microphysics by : Austin Blaquiere
Download or read book Dynamical Systems and Microphysics written by Austin Blaquiere and published by Elsevier. This book was released on 2012-12-02 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
