Lectures On Nonlinear Dynamics

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Lectures On Nonlinear Dynamics
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Author : José Roberto Castilho Piqueira
language : en
Publisher: Springer Nature
Release Date : 2023-11-29
Lectures On Nonlinear Dynamics written by José Roberto Castilho Piqueira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-29 with Science categories.
This book presents a compilation of lectures delivered at the São Paulo School of Advanced Sciences on Nonlinear Dynamics, categorized into four groups: parametric resonance, nonlinear modal analysis and model reduction, synchronization, and strongly nonlinear dynamics. Interwoven seamlessly, these groups cover a wide range of topics, from fundamental concepts to practical applications, catering to both introductory and advanced readers. The first group, consisting of chapters 1 and 2, serves as an introduction to the theory of parametric resonance and the dynamics of parametrically excited slender structures. Chapters 3, 4, and 5 form the second group, offering insights into normal forms, nonlinear normal modes, and nonlinear system identification. Chapters 6 and 7 delve into asynchronous modes of structural vibration and master-slave topologies for time signal distribution within synchronous systems, respectively, representing the third group. Finally, the last four chapters tackle the fourth group, exploring nonlinear dynamics of variable mass oscillators, advanced analytical methods for strong nonlinear vibration problems, chaos theory, and dynamic integrity from the perspectives of safety and design. This book harmoniously combines theoretical depth and practical relevance to provide a comprehensive understanding of nonlinear dynamics.
Nonlinear Dynamics From Lasers To Butterflies Selected Lectures From The 15th Canberra Int L Physics Summer School
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Author : Nail Akhmediev
language : en
Publisher: World Scientific
Release Date : 2003-05-22
Nonlinear Dynamics From Lasers To Butterflies Selected Lectures From The 15th Canberra Int L Physics Summer School written by Nail Akhmediev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-22 with Science categories.
This book is an inspirational introduction to modern research directions and scholarship in nonlinear dynamics, and will also be a valuable reference for researchers in the field. With the scholarly level aimed at the beginning graduate student, the book will have broad appeal to those with an undergraduate background in mathematical or physical sciences.In addition to pedagogical and new material, each chapter reviews the current state of the area and discusses classic and open problems in engaging, surprisingly non-technical ways. The contributors are Brian Davies (bifurcations in maps), Nalini Joshi (integrable systems and asymptotics), Alan Newell (wave turbulence and pattern formation), Mark Ablowitz (nonlinear waves), Carl Weiss (spatial solitons), Cathy Holmes (Hamiltonian systems), Tony Roberts (dissipative fluid mechanics), Jorgen Frederiksen (two-dimensional turbulence), and Mike Lieberman (Fermi acceleration).
Nonlinear Dynamics Mathematical Biology And Social Science
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Author : Joshua M. Epstein
language : en
Publisher: CRC Press
Release Date : 2018-03-08
Nonlinear Dynamics Mathematical Biology And Social Science written by Joshua M. Epstein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-08 with Mathematics categories.
This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.
Lectures On Systems Control And Information
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Author : Lei Guo
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Lectures On Systems Control And Information written by Lei Guo 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 2000 with Mathematics categories.
This volume presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). The following articles are included: "Nonlinear Systems Control" by R. Brockett, "Adaptive Control of Discrete-Time Nonlinear Systems with Structural Uncertainties" by L.-L. Xie and L. Guo, "Networks and Learning" by P. R. Kumar, "Mathematical Aspects of the Power Control Problem in Mobile Communication Systems" by C. W. Sung and W. S. Wong, and "Brockett's Problem on Nonlinear Filtering Theory" by S. S.-T. Yau. Basic concepts and current research are both presented in this book. The volume offers a comprehensive and easy-to-follow account of many fundamental issues in this diverse field. It would be a suitable text for a graduate course on wireless communication. Titles in this series are co-published with International Press, Cambridge, MA.
Lectures On Dynamical Systems Structural Stability And Their Applications
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Author : Kotik K Lee
language : en
Publisher: World Scientific
Release Date : 1992-05-14
Lectures On Dynamical Systems Structural Stability And Their Applications written by Kotik K Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-05-14 with Mathematics categories.
The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.
Lectures On Chaotic Dynamical Systems
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Author : Valentin Senderovich Afraĭmovich
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Lectures On Chaotic Dynamical Systems written by Valentin Senderovich Afraĭmovich 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 2003 with Mathematics categories.
Basic concepts Zero-dimensional dynamics One-dimensional dynamics Two-dimensional dynamics Systems with 1.5 degrees of freedom Systems generated by three-dimensional vector fields Lyapunov exponents Appendix Bibliography Index.
Six Lectures On Dynamical Systems
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Author : Bernd Aulbach
language : en
Publisher: World Scientific
Release Date : 1996-05-15
Six Lectures On Dynamical Systems written by Bernd Aulbach and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-15 with Mathematics categories.
This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included.The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level.
Lectures In Differentiable Dynamics
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Author : Lawrence Markus
language : en
Publisher: American Mathematical Soc.
Release Date : 1980
Lectures In Differentiable Dynamics written by Lawrence Markus 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 1980 with Mathematics categories.
Offers an exposition of the central results of Differentiable Dynamics. This edition includes an Appendix reviewing the developments under five basic areas: nonlinear oscillations, diffeomorphisms and foliations, general theory; dissipative dynamics, general theory; conservative dynamics, and, chaos, catastrophe, and multi-valued trajectories.
Lectures On Macroeconomics
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Author : Olivier Blanchard
language : en
Publisher: MIT Press
Release Date : 1989-03-21
Lectures On Macroeconomics written by Olivier Blanchard and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-03-21 with Business & Economics categories.
The main purpose of Lectures on Macroeconomics is to characterize and explain fluctuations in output, unemployment and movement in prices. Lectures on Macroeconomics provides the first comprehensive description and evaluation of macroeconomic theory in many years. While the authors' perspective is broad, they clearly state their assessment of what is important and what is not as they present the essence of macroeconomic theory today.The main purpose of Lectures on Macroeconomics is to characterize and explain fluctuations in output, unemployment and movement in prices. The most important fact of modern economic history is persistent long term growth, but as the book makes clear, this growth is far from steady. The authors analyze and explore these fluctuations. Topics include consumption and investment; the Overlapping Generations Model; money; multiple equilibria, bubbles, and stability; the role of nominal rigidities; competitive equilibrium business cycles, nominal rigidities and economic fluctuations, goods, labor and credit markets; and monetary and fiscal policy issues. Each of chapters 2 through 9 discusses models appropriate to the topic. Chapter 10 then draws on the previous chapters, asks which models are the workhorses of macroeconomics, and sets the models out in convenient form. A concluding chapter analyzes the goals of economic policy, monetary policy, fiscal policy, and dynamic inconsistency. Written as a text for graduate students with some background in macroeconomics, statistics, and econometrics, Lectures on Macroeconomics also presents topics in a self contained way that makes it a suitable reference for professional economists.
Lectures On Hyperhamiltonian Dynamics And Physical Applications
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Author : Giuseppe Gaeta
language : en
Publisher: Springer
Release Date : 2017-07-21
Lectures On Hyperhamiltonian Dynamics And Physical Applications written by Giuseppe Gaeta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-21 with Science categories.
This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkähler one (thus there are three Kähler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.