Continuum Theory Dynamical Systems
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Continuum Theory Dynamical Systems
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Author : Thelma West
language : en
Publisher: CRC Press
Release Date : 1993-08-05
Continuum Theory Dynamical Systems written by Thelma West and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-05 with Mathematics categories.
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.
Lattice Dynamical Foundations Of Continuum Theories Elasticity Piezoelectricity Viscoelasticity Plasticity
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Author : Attila Askar
language : en
Publisher: World Scientific
Release Date : 1986-07-01
Lattice Dynamical Foundations Of Continuum Theories Elasticity Piezoelectricity Viscoelasticity Plasticity written by Attila Askar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-01 with categories.
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.
Continuum Theory And Dynamical Systems
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Author : Morton Brown
language : en
Publisher: American Mathematical Soc.
Release Date : 1991
Continuum Theory And Dynamical Systems written by Morton Brown and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
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.
A First Course In Continuum Mechanics
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Author : Oscar Gonzalez
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17
A First Course In Continuum Mechanics written by Oscar Gonzalez and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Science categories.
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.
Continua
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Author : Howard Cook
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Continua written by Howard Cook and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.
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.
Modeling Of Complex Dynamic Systems
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Author : Vladimir Stojanović
language : en
Publisher: Elsevier
Release Date : 2025-04-09
Modeling Of Complex Dynamic Systems written by Vladimir Stojanović and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-09 with Technology & Engineering categories.
Motion is the essence of any mechanical system. Analyzing a system's dynamical response to distinct motion parameters allows for increased understanding of its performance thresholds and can in turn provide clear data to inform improved system designs.Modeling of Complex Dynamic Systems: Fundamentals and Applications equips readers with significant insights into nonlinear vibration phenomenology through a combination of advanced mathematical fundamentals and worked-through modeling experiments. To guide them in determining novel stabilization characteristics for complex moving objects, coupled structures, as well as the stochastic stability of mechanical systems, the technical and methodological analysis is accompanied by industry-relevant practical examples, contributing much sought-after applicable knowledge.The book is intended for use by postgraduate students, academic researchers, and professional engineers alike. - Connects three areas of theoretical and applied mechanics – nonlinear vibrations, dynamics of moving objects, and stochastic stability of structures, while also reviewing literature - Compares classical dynamic models with the authors' proposed modeling methodologies to analyze mechanical systems affected by parametric instabilities - Discusses new technical solutions powered by AI and ML to introduce possible further research directions
Topological Dynamics And Topological Data Analysis
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Author : Robert L. Devaney
language : en
Publisher: Springer Nature
Release Date : 2021-09-23
Topological Dynamics And Topological Data Analysis written by Robert L. Devaney and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-23 with Mathematics categories.
This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.
A Dynamical Systems Theory Of Thermodynamics
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Author : Wassim M. Haddad
language : en
Publisher: Princeton University Press
Release Date : 2019-06-04
A Dynamical Systems Theory Of Thermodynamics written by Wassim M. Haddad and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-04 with Mathematics categories.
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.
Fractals And Dynamic Systems In Geoscience
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Author : Tom G. Blenkinsop
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Fractals And Dynamic Systems In Geoscience written by Tom G. Blenkinsop and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.
Computational Reality
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Author : Bilen Emek Abali
language : en
Publisher: Springer
Release Date : 2016-10-22
Computational Reality written by Bilen Emek Abali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-22 with Science categories.
This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.