Tag: Dynamical

Mathematical modeling of Earth’s dynamical systems a primer


Free Download Mathematical modeling of Earth’s dynamical systems : a primer By Kump, Lee R.; Slingerland, Rudy
2011 | 231 Pages | ISBN: 069114513X | PDF | 4 MB
Mathematical Modeling of Earth’s Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth’s processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth’s Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor’s Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

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Stochastic Approximation A Dynamical Systems Viewpoint


Free Download Stochastic Approximation: A Dynamical Systems Viewpoint by Vivek S. Borkar
English | PDF EPUB (True) | 2024 | 280 Pages | ISBN : 9819982766 | 28.7 MB
This book serves as an advanced text for a graduate course on stochastic algorithms for the students of probability and statistics, engineering, economics and machine learning. This second edition gives a comprehensive treatment of stochastic approximation algorithms based on the ordinary differential equation (ODE) approach which analyses the algorithm in terms of a limiting ODE. It has a streamlined treatment of the classical convergence analysis and includes several recent developments such as concentration bounds, avoidance of traps, stability tests, distributed and asynchronous schemes, multiple time scales, general noise models, etc., and a category-wise exposition of many important applications. It is also a useful reference for researchers and practitioners in the field.

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Order and Chaos in Dynamical Astronomy


Free Download Order and Chaos in Dynamical Astronomy by George Contopoulos
English | PDF | 2002 | 633 Pages | ISBN : 3540433600 | 57.8 MB
There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart’s "Stellar Dynamics" (1938), or Trumpler and Weaver’s "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar’s "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville’s equation, and the dynamics of clusters. In the Dover edition of this book (1960) an extended Appendix was added, containing the statistical mechanics of stellar systems, a quite "modern" subject at that time. The need for a classroom book was covered for several years by the book of Mihalas and Routly "Galactic Astronomy" (1969).

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EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS TIME-QUANTITATIVE SECOND LAW


Free Download EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND LAW (Fractals and Dynamics in Mathematics, Science, and the Arts:) by Jozsef Beck
English | October 20, 2020 | ISBN: 9811225559 | 448 pages | MOBI | 76 Mb
We know very little about the time\-evolution of many\-particle dynamical systems, the subject of our book. Even the 3\-body problem has no explicit solution (we cannot solve the corresponding system of differential equations, and computer simulation indicates hopelessly chaotic behaviour). For example, what can we say about the typical time evolution of a large system starting from a stage far from equilibrium? What happens in a realistic time scale? The reader\x27s first reaction is probably: What about the famous Second Law (of thermodynamics)? Unfortunately, there are plenty of notorious mathematical problems surrounding the Second Law. (1) How to rigorously define entropy? How to convert the well known intuitions (like \x26#34;\x26#34;disorder\x26#34;\x26#34; and \x26#34;\x26#34;energy spreading\x26#34;\x26#34;) into precise mathematical definitions? (2) How to express the Second Law in forms of a rigorous mathematical theorem? (3) The Second Law is a \x26#34;\x26#34;soft\x26#34;\x26#34; qualitative statement about entropy increase, but does not say anything about the necessary time to reach equilibrium. The object of this book is to answer questions (1)\-(2)\-(3). We rigorously prove a Time\-Quantitative Second Law that works on a realistic time scale. As a by product, we clarify the Loschmidt\-paradox and the related reversibility\/irreversibility paradox.<\/p>

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Braids and Dynamics (Frontiers in Applied Dynamical Systems Reviews and Tutorials)


Free Download Braids and Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials) by Jean-Luc Thiffeault
English | September 6, 2022 | ISBN: 3031047893 | 160 pages | MOBI | 15 Mb
This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.

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Topological Dimension and Dynamical Systems


Free Download Michel Coornaert, "Topological Dimension and Dynamical Systems "
English | ISBN: 3319197932 | 2015 | 248 pages | EPUB | 5 MB
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts.

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Quantum Dynamical Semigroups and Applications


Free Download Quantum Dynamical Semigroups and Applications by Robert Alicki , Karl Lendi
English | PDF | 2007 | 137 Pages | ISBN : 354070860X | 1.7 MB
Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently attracted growing attention.

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