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Author | : Henry D I Abarbanel |
Publisher | : World Scientific |
Total Pages | : 170 |
Release | : 1993-06-23 |
Genre | : Science |
ISBN | : 9814504122 |
Download Introduction To Nonlinear Dynamics For Physicists Book in PDF, ePub and Kindle
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Author | : H. D. I. Abarbanel |
Publisher | : World Scientific |
Total Pages | : 172 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9789810214104 |
Download Introduction to Nonlinear Dynamics for Physicists Book in PDF, ePub and Kindle
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Author | : H. D. I. Abarbanel |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 158 |
Release | : 1993 |
Genre | : Science |
ISBN | : 9789810214098 |
Download Introduction to Nonlinear Dynamics for Physicists Book in PDF, ePub and Kindle
This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Author | : Steven H. Strogatz |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2018-05-04 |
Genre | : Mathematics |
ISBN | : 0429961111 |
Download Nonlinear Dynamics and Chaos Book in PDF, ePub and Kindle
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.
Author | : Lui Lam |
Publisher | : Springer Science & Business Media |
Total Pages | : 436 |
Release | : 2003-11-14 |
Genre | : Science |
ISBN | : 9780387406145 |
Download Introduction to Nonlinear Physics Book in PDF, ePub and Kindle
This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.
Author | : George Datseris |
Publisher | : Springer Nature |
Total Pages | : 243 |
Release | : 2022-03-13 |
Genre | : Science |
ISBN | : 3030910326 |
Download Nonlinear Dynamics Book in PDF, ePub and Kindle
This concise and up-to-date textbook provides an accessible introduction to the core concepts of nonlinear dynamics as well as its existing and potential applications. The book is aimed at students and researchers in all the diverse fields in which nonlinear phenomena are important. Since most tasks in nonlinear dynamics cannot be treated analytically, skills in using numerical simulations are crucial for analyzing these phenomena. The text therefore addresses in detail appropriate computational methods as well as identifying the pitfalls of numerical simulations. It includes numerous executable code snippets referring to open source Julia software packages. Each chapter includes a selection of exercises with which students can test and deepen their skills.
Author | : G. Nicolis |
Publisher | : Cambridge University Press |
Total Pages | : 274 |
Release | : 1995-06-22 |
Genre | : Mathematics |
ISBN | : 9780521467827 |
Download Introduction to Nonlinear Science Book in PDF, ePub and Kindle
The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.
Author | : Lawrence N. Virgin |
Publisher | : Cambridge University Press |
Total Pages | : 270 |
Release | : 2000-03-28 |
Genre | : Science |
ISBN | : 9780521779319 |
Download Introduction to Experimental Nonlinear Dynamics Book in PDF, ePub and Kindle
A case study in mechanical vibration introduces the subject of nonlinear dynamics and chaos.
Author | : Muthusamy Lakshmanan |
Publisher | : Springer Science & Business Media |
Total Pages | : 628 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642556884 |
Download Nonlinear Dynamics Book in PDF, ePub and Kindle
This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.
Author | : Sandro Wimberger |
Publisher | : Springer |
Total Pages | : 215 |
Release | : 2014-05-13 |
Genre | : Science |
ISBN | : 331906343X |
Download Nonlinear Dynamics and Quantum Chaos Book in PDF, ePub and Kindle
The field of nonlinear dynamics and chaos has grown very much over the last few decades and is becoming more and more relevant in different disciplines. This book presents a clear and concise introduction to the field of nonlinear dynamics and chaos, suitable for graduate students in mathematics, physics, chemistry, engineering, and in natural sciences in general. It provides a thorough and modern introduction to the concepts of Hamiltonian dynamical systems' theory combining in a comprehensive way classical and quantum mechanical description. It covers a wide range of topics usually not found in similar books. Motivations of the respective subjects and a clear presentation eases the understanding. The book is based on lectures on classical and quantum chaos held by the author at Heidelberg University. It contains exercises and worked examples, which makes it ideal for an introductory course for students as well as for researchers starting to work in the field.