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Simulation Of Nonlinear Systems In Physics
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Book Synopsis Simulation Of Nonlinear Systems In Physics - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 3 by : M Pettini
Download or read book Simulation Of Nonlinear Systems In Physics - Proceedings Of The Enea Workshops On Nonlinear Dynamics - Vol 3 written by M Pettini and published by World Scientific. This book was released on 1991-10-31 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workshop in nonlinear dynamics and mathematical physics, organized by the Italian Nuclear Energy Agency (ENEA) in Bologna, is intended to give an updated overview of modern trends in the field of nonlinear dynamics with emphasis on applications to physics, quantum theory, plasma physics and fluid dynamics, optics and electrodynamics, computer simulation and neural networks.
Book Synopsis Simulation of Nonlinear Systems in Physics by : M. Pettini
Download or read book Simulation of Nonlinear Systems in Physics written by M. Pettini and published by . This book was released on 1991 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractional-Order Nonlinear Systems by : Ivo Petráš
Download or read book Fractional-Order Nonlinear Systems written by Ivo Petráš and published by Springer Science & Business Media. This book was released on 2011-05-30 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.
Book Synopsis Nonlinear Dynamics, Volume 1 by : Gaëtan Kerschen
Download or read book Nonlinear Dynamics, Volume 1 written by Gaëtan Kerschen and published by Springer. This book was released on 2015-08-14 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamics, Volume 1. Proceedings of the 33rd IMAC, A Conference and Exposition on Balancing Simulation and Testing, 2015, the first volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinear Simulation Using Harmonic Balance Nonlinear Modal Analysis Nonlinear System Identification Nonlinear Modeling & Simulation Nonlinearity in Practice Nonlinear Systems Round Robin on Nonlinear System Identification.
Download or read book Nonlinear Systems written by and published by BoD – Books on Demand. This book was released on 2018-07-18 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on several key aspects of nonlinear systems including dynamic modeling, state estimation, and stability analysis. It is intended to provide a wide range of readers in applied mathematics and various engineering disciplines an excellent survey of recent studies of nonlinear systems. With its thirteen chapters, the book brings together important contributions from renowned international researchers to provide an excellent survey of recent studies of nonlinear systems. The first section consists of eight chapters that focus on nonlinear dynamic modeling and analysis techniques, while the next section is composed of five chapters that center on state estimation methods and stability analysis for nonlinear systems.
Book Synopsis Nonlinear Stochastic Systems in Physics and Mechanics by : N. Bellomo
Download or read book Nonlinear Stochastic Systems in Physics and Mechanics written by N. Bellomo and published by World Scientific. This book was released on 1987 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the conceptional line which goes from the observation of physical systems to their modeling and analysis by ordinary differential nonlinear stochastic equations.First, the problems of the mathematical modeling of physical systems are developed. These mathematical models are then classified in terms of ordinary differential stochastic equations from which both qualitative and quantitative results are developed.Each one of the various subjects are methods dealt with ends with an application in mathematical physics or in nonlinear mechanics.
Book Synopsis Nonlinear Optical and Atomic Systems by : Christophe Besse
Download or read book Nonlinear Optical and Atomic Systems written by Christophe Besse and published by Springer. This book was released on 2015-08-26 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. The text covers a wide spectrum of current research on the subject, which is an extremely active field in physics and mathematical physics, with a very broad range of implications, both for fundamental science and technological applications: light propagation in microstructured optical fibers, Bose-Einstein condensates, disordered systems, and the newly emerging field of nonlinear quantum mechanics. Accessible to PhD students, this book will also be of interest to post-doctoral researchers and seasoned academics.
Book Synopsis The Physics of Structure Formation by : Werner Güttinger
Download or read book The Physics of Structure Formation written by Werner Güttinger and published by Springer. This book was released on 2012-01-05 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics. Such pattern formation problems are common in practically all systems involving a large number of interacting components. Here, the basic problem is to understand how competing physical forces can shape stable geometries and to explain why nature prefers just these. Motivation for the intensive study of pattern formation phenomena during the past few years derives from an increasing appreciation of the remarkable diversity of behaviour encountered in nonlinear systems and of universal features shared by entire classes of nonlinear processes. As physics copes with ever more ambi tious problems in pattern formation, summarizing our present state of knowledge becomes a pressing issue. This volume presents an overview of selected topics in this field of current interest. It deals with theoretical models of pattern formation and with simulations that bridge the gap between theory and experiment. The book is a product of the International Symposium on the Physics of Structure Formation, held from October 27 through November 2, 1986, at the Institute for Information Sciences of the University of Tiibingen. The symposium brought together a group of distinguished scientists from various disciplines to exchange ideas about recent advances in pattern formation in the physical sciences, and also to introduce young scientists to the fi
Book Synopsis A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems by : Elbert E. N. Macau
Download or read book A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems written by Elbert E. N. Macau and published by Springer. This book was released on 2018-06-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent developments in nonlinear and complex systems. It provides up-to-date theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers symmetry groups, conservation laws, risk reduction management, barriers in Hamiltonian systems, and synchronization and chaotic transient. Illustrating mathematical modeling applications to nonlinear physics and nonlinear engineering, the book is ideal for academic and industrial researchers concerned with machinery and controls, manufacturing, and controls. · Introduces new concepts for understanding and modeling complex systems; · Explains risk reduction management in complex systems; · Examines the symmetry group approach to understanding complex systems; · Illustrates the relation between transient chaos and crises.
Book Synopsis Virtual Nonlinear Multibody Systems by : Werner Schiehlen
Download or read book Virtual Nonlinear Multibody Systems written by Werner Schiehlen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an edited versIOn of lectures presented at the NATO ADVANCED STUDY INSTITUTE on VIRTUAL NONLINEAR MUL TIBODY SYSTEMS which was held in Prague, Czech Republic, from 23 June to 3 July 2002. It was organized by the Department of Mechanics, Faculty of Mechanical Engineering, Czech Technical University in Prague, in cooperation with the Institute B of Mechanics, University of Stuttgart, Germany. The ADVANCED STUDY INSTITUTE addressed the state of the art in multibody dynamics placing special emphasis on nonlinear systems, virtual reality, and control design as required in mechatronics and its corresponding applications. Eighty-six participants from twenty-two countries representing academia, industry, government and research institutions attended the meeting. The high qualification of the participants contributed greatly to the success of the ADVANCED STUDY INSTITUTE in that it promoted the exchange of experience between leading scientists and young scholars, and encouraged discussions to generate new ideas and to define directions of research and future developments. The full program of the ADVANCED STUDY INSTITUTE included also contributed presentations made by participants where different topics were explored, among them: Such topics include: nonholonomic systems; flexible multibody systems; contact, impact and collision; numerical methods of differential-algebraical equations; simulation approaches; virtual modelling; mechatronic design; control; biomechanics; space structures and vehicle dynamics. These presentations have been reviewed and a selection will be published in this volume, and in special issues of the journals Multibody System Dynamics and Mechanics of Structures and Machines.
Book Synopsis Time Reversibility, Computer Simulation, Algorithms, Chaos by : William Graham Hoover
Download or read book Time Reversibility, Computer Simulation, Algorithms, Chaos written by William Graham Hoover and published by World Scientific. This book was released on 2012-06-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the authors' approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and “chaos theory” or “nonlinear dynamics” has supplied a useful vocabulary and a set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green, Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme. The book begins with a discussion, contrasting the idealized reversibility of basic physics against the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory — fractals and Lyapunov instability — are fundamental to the approach. Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all. This expanded edition stresses and illustrates computer algorithms with many new worked-out examples, and includes considerable new material on shockwaves, Lyapunov instability and fluctuations. Sample Chapter(s) Chapter 1: Time Reversibility, Computer Simulation, Algorithms, Chaos (1,908 KB) Contents:Time Reversibility, Computer Simulation, Algorithms, ChaosTime-Reversibility in Physics and ComputationGibbs' Statistical MechanicsIrreversibility in Real LifeMicroscopic Computer SimulationShockwaves RevisitedMacroscopic Computer SimulationChaos, Lyapunov Instability, FractalsResolving the Reversibility ParadoxAfterword — a Research Perspective Readership: Students of statistical physics and computer simulation. Keywords:Time Reversibility;Computer Simulation;Algorithms;ChaosKey Features:Provides comprehensive resource for simulation and analysis of classical equilibrium and nonequilibrium systems, both small and largeClear and thorough exposition of latest algorithms and techniques for research in simulationHands-on algorithms, clear analysis of recent developments, assessment of the state-of-the-artReviews: “Bill and Carol Hoover have teamed up to produce this greatly expanded new edition of Bill's earlier book grappling with one of the oldest problems in physics — reconciling the irreversibility of thermodynamics with the reversibility of Newtonian mechanics. It represents a personal account of a lifetime of research, including insights provided by advances in chaos, fractals, and computer simulation. It is the best source for anyone seeking a deep understanding of these seemingly paradoxical basic laws of physics.” Julien Clinton Sprott Emeritus Professor of Physics, University of Wisconsin – Madison Author of Chaos and Time-Series Analysis and Elegant Chaos “The second edition with over 100 pages of new material, gives an up-to-date and distinctive treatment of physical issues, emphasizing the need for a holistic view incorporating theory, simulation and experiment … It provides rich inspiration and insight for graduate students and more experienced researchers alike. This work challenges philosophers and mathematicians to engage with the latest numerical and experimental findings, and practitioners of quantum chaos and nanotechnology to incorporate and extend the underpinning classical irreversibility.” Dr Carl Dettmann University of Bristol “Many remarks and asides are very informative and will be of interest to a broad range of physicists. I was pleasantly surprised by the overall ambition, breadth and scope of this excellent book. ” Contemporary Physics Review of the First Edition: “The author has written a lively, informal, and somewhat personal review of a branch of statistical physics that he has helped develop over the past two decades or so.” Mathematical Reviews
Book Synopsis Nonlinearity in Structural Dynamics by : K Worden
Download or read book Nonlinearity in Structural Dynamics written by K Worden and published by CRC Press. This book was released on 2019-04-23 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many types of engineering structures exhibit nonlinear behavior under real operating conditions. Sometimes the unpredicted nonlinear behavior of a system results in catastrophic failure. In civil engineering, grandstands at sporting events and concerts may be prone to nonlinear oscillations due to looseness of joints, friction, and crowd movements.
Book Synopsis Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems by : Jan Awrejcewicz
Download or read book Modeling, Simulation and Control of Nonlinear Engineering Dynamical Systems written by Jan Awrejcewicz and published by Springer. This book was released on 2010-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited papers presented at the 9th International Conference “Dynamical Systems — Theory and Applications” held in Lódz, Poland, December 17-20, 2007, dealing with nonlinear dynamical systems. The conference brought together a large group of outstanding scientists and engineers, who deal with various problems of dynamics encountered both in engineering and in daily life. Topics covered include, among others, bifurcations and chaos in mechanical systems; control in dynamical systems; asymptotic methods in nonlinear dynamics; stability of dynamical systems; lumped and continuous systems vibrations; original numerical methods of vibration analysis; and man-machine interactions. Thus, the reader is given an overview of the most recent developments of dynamical systems and can follow the newest trends in this field of science. This book will be of interest to to pure and applied scientists working in the field of nonlinear dynamics.
Book Synopsis Nonlinear Physics with Mathematica for Scientists and Engineers by : Richard H. Enns
Download or read book Nonlinear Physics with Mathematica for Scientists and Engineers written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear physics continues to be an area of dynamic modern research, with applications to physics, engineering, chemistry, mathematics, computer science, biology, medicine and economics. In this text extensive use is made of the Mathematica computer algebra system. No prior knowledge of Mathematica or programming is assumed. This book includes 33 experimental activities that are designed to deepen and broaden the reader's understanding of nonlinear physics. These activities are correlated with Part I, the theoretical framework of the text.
Book Synopsis Time Reversibility, Computer Simulation, And Chaos by : William Graham Hoover
Download or read book Time Reversibility, Computer Simulation, And Chaos written by William Graham Hoover and published by World Scientific. This book was released on 1999-11-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: A small army of physicists, chemists, mathematicians, and engineers has joined forces to attack a classic problem, the “reversibility paradox”, with modern tools. This book describes their work from the perspective of computer simulation, emphasizing the author's approach to the problem of understanding the compatibility, and even inevitability, of the irreversible second law of thermodynamics with an underlying time-reversible mechanics. Computer simulation has made it possible to probe reversibility from a variety of directions and “chaos theory” or “nonlinear dynamics” has supplied a useful vocabulary and set of concepts, which allow a fuller explanation of irreversibility than that available to Boltzmann or to Green and Kubo and Onsager. Clear illustration of concepts is emphasized throughout, and reinforced with a glossary of technical terms from the specialized fields which have been combined here to focus on a common theme.The book begins with a discussion contrasting the idealized reversibility of basic physics and the pragmatic irreversibility of real life. Computer models, and simulation, are next discussed and illustrated. Simulations provide the means to assimilate concepts through worked-out examples. State-of-the-art analyses, from the point of view of dynamical systems, are applied to many-body examples from nonequilibrium molecular dynamics and to chaotic irreversible flows from finite-difference, finite-element, and particle-based continuum simulations. Two necessary concepts from dynamical-systems theory — fractals and Lyapunov instability — are fundamental to the approach.Undergraduate-level physics, calculus, and ordinary differential equations are sufficient background for a full appreciation of this book, which is intended for advanced undergraduates, graduates, and research workers. The generous assortment of examples worked out in the text will stimulate readers to explore the rich and fruitful field of study which links fundamental reversible laws of physics to the irreversibility surrounding us all.
Book Synopsis Foundations of Complex Systems by : Gregoire Nicolis
Download or read book Foundations of Complex Systems written by Gregoire Nicolis and published by World Scientific. This book was released on 2007 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A geometric process is a simple monotone process that was first introduced by the author in 1988. It is a generalization of renewal process. This book captures the extensive research work on geometric processes that has been done since then in both probability and statistics theory and various applications. Some results are published for the first time. A reference book for researchers and a handbook for practioners, it is also a useful textbook for postgraduate or senior undergraduate students.
Book Synopsis Nonlinear Dynamics, Volume 1 by : Gaetan Kerschen
Download or read book Nonlinear Dynamics, Volume 1 written by Gaetan Kerschen and published by Springer. This book was released on 2016-04-22 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamics, Volume 1. Proceedings of the 34th IMAC, A Conference and Exposition on Dynamics of Multiphysical Systems: From Active Materials to Vibroacoustics, 2016, the fi rst volume of ten from the Conference, brings together contributions to this important area of research and engineering. Th e collection presents early fi ndings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: • Nonlinear Oscillations • Nonlinear Modal Analysis • Nonlinear System Identifi cation • Nonlinear Modeling & Simulation • Nonlinearity in Practice • Nonlinearity in Multi-Physics Systems • Nonlinear Modes and Modal Interactions