Continuum Theory Dynamical Systems

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Continuum Theory & Dynamical Systems

Author : Thelma West
Publisher : CRC Press
ISBN 13 : 1482293463
Total Pages : 312 pages
Book Rating : 4.4/5 (822 download)

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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.

Continuum Theory and Dynamical Systems

Author : Morton Brown
Publisher : American Mathematical Soc.
ISBN 13 : 0821851233
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)

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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.

Lattice Dynamical Foundations Of Continuum Theories: Elasticity, Piezoelectricity, Viscoelasticity, Plasticity

Author : Attila Askar
Publisher : World Scientific
ISBN 13 : 9814518956
Total Pages : 208 pages
Book Rating : 4.8/5 (145 download)

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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.

Inverse Limits

Author : W.T. Ingram
Publisher : Springer Science & Business Media
ISBN 13 : 146141797X
Total Pages : 229 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Inverse Limits by : W.T. Ingram

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.

The Static and Dynamic Continuum Theory of Liquid Crystals

Author : Iain W. Stewart
Publisher : CRC Press
ISBN 13 : 0203646339
Total Pages : 351 pages
Book Rating : 4.2/5 (36 download)

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Book Synopsis The Static and Dynamic Continuum Theory of Liquid Crystals by : Iain W. Stewart

Download or read book The Static and Dynamic Continuum Theory of Liquid Crystals written by Iain W. Stewart and published by CRC Press. This book was released on 2004-06-29 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the widespread interest in macroscopic phenomena in liquid crystals, stemming from their applications in displays and devices. The need has arisen for a rigorous yet accessible text suitable for graduate students, whatever their scientific background. This book satisfies that need. The approach taken in this text, is to introduce the basic continuum theory for nematic liquid crystals in equilibria, then it proceeds to simple application of this theory- in particular, there is a discussion of electrical and magnetic field effects which give rise to Freedericksz transitions, which are important in devices. This is followed by an account of dynamic theory and elementary viscometry of nemantics Discussions of backflow and flow-induced instabilities are also included. Smetic theory is also briefly introduced and summarised with some examples of equilibrium solutions as well as those with dynamic effects. A number of mathematical techniques, such as Cartesian tensors and some variational calculus, are presented in the appendices.

A Dynamical Systems Theory of Thermodynamics

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 0691190143
Total Pages : 744 pages
Book Rating : 4.6/5 (911 download)

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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.

Hamiltonian Dynamical Systems and Applications

Author : Walter Craig
Publisher : Springer Science & Business Media
ISBN 13 : 1402069642
Total Pages : 450 pages
Book Rating : 4.4/5 (2 download)

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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.

Continuum Theory

Author : Alejandro Illanes
Publisher : CRC Press
ISBN 13 : 9780203910245
Total Pages : 360 pages
Book Rating : 4.9/5 (12 download)

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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 360 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

Continuum Models And Discrete Systems - Proceedings Of The 9th International Symposium (Cmds9)

Author : Esin Inan
Publisher : World Scientific
ISBN 13 : 9814544221
Total Pages : 872 pages
Book Rating : 4.8/5 (145 download)

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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.

Dynamics Reported

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642612326
Total Pages : 243 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Dynamics Reported by :

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.

Continuum Methods of Physical Modeling

Author : Kolumban Hutter
Publisher : Springer Science & Business Media
ISBN 13 : 3662064022
Total Pages : 645 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Continuum Methods of Physical Modeling by : Kolumban Hutter

Download or read book Continuum Methods of Physical Modeling written by Kolumban Hutter and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and complements these with methods of dimensional analysis. The intention is to equip the reader with the ability to understand the complex nonlinear modeling in material behaviour and turbulence closure as well as to derive or invent his own models. Examples are mostly taken from environmental physics and geophysics.

Dynamical Systems and Microphysics

Author : Austin Blaquiere
Publisher : Elsevier
ISBN 13 : 0323151434
Total Pages : 414 pages
Book Rating : 4.3/5 (231 download)

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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.

Continuum Models and Discrete Systems

Author : Gérard A. Maugin
Publisher :
ISBN 13 : 9780582055919
Total Pages : 390 pages
Book Rating : 4.0/5 (559 download)

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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.

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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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.

Dynamical Systems in Theoretical Perspective

Author : Jan Awrejcewicz
Publisher : Springer
ISBN 13 : 3319965980
Total Pages : 413 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Dynamical Systems in Theoretical Perspective by : Jan Awrejcewicz

Download or read book Dynamical Systems in Theoretical Perspective written by Jan Awrejcewicz and published by Springer. This book was released on 2018-09-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on theoretical aspects of dynamical systems in the broadest sense. It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields of applied mathematics, physics, mechanics, engineering and the life sciences. The book consists of contributed research chapters addressing a diverse range of problems. The issues discussed include (among others): numerical-analytical algorithms for nonlinear optimal control problems on a large time interval; gravity waves in a reservoir with an uneven bottom; value distribution and growth of solutions for certain Painlevé equations; optimal control of hybrid systems with sliding modes; a mathematical model of the two types of atrioventricular nodal reentrant tachycardia; non-conservative instability of cantilevered nanotubes using the Cell Discretization Method; dynamic analysis of a compliant tensegrity structure for use in a gripper application; and Jeffcott rotor bifurcation behavior using various models of hydrodynamic bearings.

An Expedition to Continuum Theory

Author : Wolfgang H. Müller
Publisher : Springer Science & Business Media
ISBN 13 : 940077799X
Total Pages : 408 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis An Expedition to Continuum Theory by : Wolfgang H. Müller

Download or read book An Expedition to Continuum Theory written by Wolfgang H. Müller and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.

Dynamic Being

Author : Aljoscha Berve
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443882437
Total Pages : 435 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Dynamic Being by : Aljoscha Berve

Download or read book Dynamic Being written by Aljoscha Berve and published by Cambridge Scholars Publishing. This book was released on 2015-09-10 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important characteristics of present day ontological research is the growing interest in, and emphasis on, the dynamic aspects of being and the process-relational character of being itself. However, many important questions still await detailed answers. For example, what is the meaning of the concepts of “dynamics,” “dynamicity,” and “dynamic ontology,” among others? Are they identical to, or similar with, respectively, “processes,” “process ontology,” “process-relational ontology”? Is “process ontology” a type of “dynamic ontology”? Dynamic Being: Essays in Process-Relational Ontology examines these and many other questions, and suggests fruitful approaches in dealing with such questions. The book carries out two main tasks: first, investigating developments in the theory of dynamic and process-relational ontologies, and, second, exploring developments in the application of these ontologies. The second task is multidisciplinary in character. The authors of the chapters in this volume are specialists not only in philosophy, but also in other fields of science, including psychology, biology, mathematics, logic, and computer science, their work providing a “seed-bed” of novel possibilities for cooperative interdisciplinary research.