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| Author | : Karl-G. Grosse-Erdmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 388 |
| Release | : 2011-08-24 |
| Genre | : Mathematics |
| ISBN | : 9781447121695 |
This book introduces the dynamics of linear operators, and covers selected, largely independent topics from linear dynamics. The text is supplemented with more than 350 exercises and many illustrations, and a ‘Sources and Comments’ section in each chapter.
| Author | : Steven H. Strogatz |
| Publisher | : CRC Press |
| Total Pages | : 532 |
| Release | : 2018-05-04 |
| Genre | : Mathematics |
| ISBN | : 0429961111 |
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 | : Morris W. Hirsch |
| Publisher | : Academic Press |
| Total Pages | : 433 |
| Release | : 2004 |
| Genre | : Business & Economics |
| ISBN | : 0123497035 |
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
| Author | : Michał Piórek |
| Publisher | : Springer |
| Total Pages | : 136 |
| Release | : 2018-07-12 |
| Genre | : Technology & Engineering |
| ISBN | : 3319948873 |
This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.
| Author | : Sandro Wimberger |
| Publisher | : Springer |
| Total Pages | : 215 |
| Release | : 2014-05-13 |
| Genre | : Science |
| ISBN | : 331906343X |
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.
| Author | : Arun V. Holden |
| Publisher | : Princeton University Press |
| Total Pages | : 333 |
| Release | : 2014-07-14 |
| Genre | : Science |
| ISBN | : 1400858151 |
This volume sets out the basic applied mathematical and numerical methods of chaotic dynamics and illustrates the wide range of phenomena, inside and outside the laboratory, that can be treated as chaotic processes. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
| Author | : Linda Chamberlain |
| Publisher | : Routledge |
| Total Pages | : 242 |
| Release | : 2016-01-28 |
| Genre | : Psychology |
| ISBN | : 1317714776 |
Psychology and the social sciences are in need of a new foundation, one that provides a better model for understanding complex behavior. Chaos theory and its newest permutation, complexity theory, offers an innovative, exciting and potentially revolutionary leap forward in the evolution of scientific thought. In Clinical Chaos, therapists and theoreticians from various areas in the social sciences will explore the relevance and implications for non-linear dynamics in observing, explaining, and understanding human behavior. At last, the scientific search can again encompass surprise, transformation, unpredictability, and pattern. This book is intended to introduce social scientists to chaos through paths that are already familiar. By linking chaos theory with existing psychological theories and established areas of clinical pursuit, Clinical Chaos emphasizes the relevance of this new science in providing a more flexible useful model for complexities of life.
| Author | : S. Neil Rasband |
| Publisher | : Courier Dover Publications |
| Total Pages | : 244 |
| Release | : 2015-08-19 |
| Genre | : Science |
| ISBN | : 0486795993 |
Introduction to the concepts, applications, theory, and technique of chaos. Suitable for advanced undergraduates and graduate students and researchers. Requires familiarity with differential equations and linear vector spaces. 1990 edition.
| Author | : Y. Kuramoto |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 281 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642695590 |
The 6th Kyoto Summer Institute devoted to "Chaos and Statistical Mechanics" was held from September 12 to 15, 1983, at the Research Institute forMathematical Sciences, Kyoto University, and at Hotel Kuniso. The meeting was aimed at clari fying various aspects of chaotic systems appearing in different scientific disci pl ines, critically examining related mathematical methods developed so far, thus preparing for possible breakthroughs, among others, for the opening of a new period of statistical mechanics of deterministic systems. The number of partici pants was 135,of which 24 were from abroad. We believe that the well-prepared lecture of each speaker and lively discussions among many participants from various research fields led the meeting to a successful conclusion. The 6th KSI was organized by the Research Institute for Fundamental Physics. A number of young chaos researchers in Japan also participated actively in the organization. We were also in close contact with the organizer of the IUTAM Sym posium on "Turbulence and Chaotic Phenomena in Fluids" (Kyoto Kaikan Conference Hall, Kyoto, September 5-10 1983). This volume contains most of the lectures presented at the 6th KSI. We are very grateful to all the authors for their efforts in preparing such excellent manuscripts. The 6th KSI was supported by the Ministry of Education, Science and Culture and the Yamada Science Foundation. The organizing committee acknowledges gratefully their generous financial support. Finally, than'ks are due to Dr. M. Toya and Miss T. Sumide for their invaluable assistance.
