Mathematical Tools For One Dimensional Dynamics

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Mathematical Tools For One Dimensional Dynamics

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Author : Edson de Faria
language : en
Publisher: Cambridge University Press
Release Date : 2008-10-02

Mathematical Tools For One Dimensional Dynamics written by Edson de Faria and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-02 with Mathematics categories.

Presents the major mathematical tools necessary for the study of complex dynamics.

Mathematical Tools For One Dimensional Dynamics

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Author : Edson de Faria
language : en
Publisher: Cambridge University Press
Release Date : 2008-10-02

Mathematical Tools For One Dimensional Dynamics written by Edson de Faria and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-02 with Mathematics categories.

Originating with the pioneering works of P. Fatou and G. Julia, the subject of complex dynamics has seen great advances in recent years. Complex dynamical systems often exhibit rich, chaotic behavior, which yields attractive computer generated pictures, for example the Mandelbrot and Julia sets, which have done much to renew interest in the subject. This self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on holomorphic motions, appear for the very first time in book format. An appendix considers Riemann surfaces and Teichmüller theory. Detailing the very latest research, the book will appeal to graduate students and researchers working in dynamical systems and related fields. Carefully chosen exercises aid understanding and provide a glimpse of further developments in real and complex one-dimensional dynamics.

Mathematical Tools For One Dimensional Dynamics Icm Edition

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Author : De Faria
language : en
Publisher:
Release Date : 2010-07-23

Mathematical Tools For One Dimensional Dynamics Icm Edition written by De Faria and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with categories.

New Trends In One Dimensional Dynamics

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Author : Maria José Pacifico
language : en
Publisher: Springer Nature
Release Date : 2019-12-14

New Trends In One Dimensional Dynamics written by Maria José Pacifico and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-14 with Mathematics categories.

This volume presents the proceedings of the meeting New Trends in One-Dimensional Dynamics, which celebrated the 70th birthday of Welington de Melo and was held at the IMPA, Rio de Janeiro, in November 2016. Highlighting the latest results in one-dimensional dynamics and its applications, the contributions gathered here also celebrate the highly successful meeting, which brought together experts in the field, including many of Welington de Melo’s co-authors and former doctoral students. Sadly, Welington de Melo passed away shortly after the conference, so that the present volume became more a tribute to him. His role in the development of mathematics was undoubtedly an important one, especially in the area of low-level dynamics, and his legacy includes, in addition to many articles with fundamental contributions, books that are required reading for all newcomers to the field.

One Dimensional Dynamics

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Author : Edson de Faria
language : en
Publisher:
Release Date : 2001

One Dimensional Dynamics written by Edson de Faria and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Topics From One Dimensional Dynamics

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Author : Karen M. Brucks
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-28

Topics From One Dimensional Dynamics written by Karen M. Brucks and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-28 with Mathematics categories.

One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

One Dimensional Dynamics

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Author : Welington de Melo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

One Dimensional Dynamics written by Welington de Melo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).

The One Dimensional Heat Equation

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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28

The One Dimensional Heat Equation written by John Rozier Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.

This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.

Nonlinear Dynamics

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Author : H.G Solari
language : en
Publisher: CRC Press
Release Date : 1996-01-01

Nonlinear Dynamics written by H.G Solari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Science categories.

Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.

Holomorphic Dynamics

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Author : S. Morosawa
language : en
Publisher: Cambridge University Press
Release Date : 2000-01-13

Holomorphic Dynamics written by S. Morosawa and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-13 with Mathematics categories.

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.