Advances In Discrete Dynamical Systems

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Progress on Difference Equations and Discrete Dynamical Systems

Author : Steve Baigent
Publisher : Springer Nature
ISBN 13 : 3030601072
Total Pages : 440 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Progress on Difference Equations and Discrete Dynamical Systems by : Steve Baigent

Download or read book Progress on Difference Equations and Discrete Dynamical Systems written by Steve Baigent and published by Springer Nature. This book was released on 2021-01-04 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019. The volume details the latest research on difference equations and discrete dynamical systems, and their application to areas such as biology, economics, and the social sciences. Some chapters have a tutorial style and cover the history and more recent developments for a particular topic, such as chaos, bifurcation theory, monotone dynamics, and global stability. Other chapters cover the latest personal research contributions of the author(s) in their particular area of expertise and range from the more technical articles on abstract systems to those that discuss the application of difference equations to real-world problems. The book is of interest to both Ph.D. students and researchers alike who wish to keep abreast of the latest developments in difference equations and discrete dynamical systems.

Discrete Dynamical Systems

Author : Oded Galor
Publisher : Springer Science & Business Media
ISBN 13 : 3540367764
Total Pages : 159 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Discrete Dynamical Systems by : Oded Galor

Download or read book Discrete Dynamical Systems written by Oded Galor and published by Springer Science & Business Media. This book was released on 2007-05-17 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to discrete dynamical systems – a framework of analysis that is commonly used in the ?elds of biology, demography, ecology, economics, engineering, ?nance, and physics. The book characterizes the fundamental factors that govern the quantitative and qualitative trajectories of a variety of deterministic, discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for those systems that do not permit or necessitate an explicit solution. The analysis focuses initially on the characterization of the factors that govern the evolution of state variables in the elementary context of one-dimensional, ?rst-order, linear, autonomous systems. The f- damental insights about the forces that a?ect the evolution of these - ementary systems are subsequently generalized, and the determinants of the trajectories of multi-dimensional, nonlinear, higher-order, non- 1 autonomous dynamical systems are established. Chapter 1 focuses on the analysis of the evolution of state variables in one-dimensional, ?rst-order, autonomous systems. It introduces a method of solution for these systems, and it characterizes the traj- tory of a state variable, in relation to a steady-state equilibrium of the system, examining the local and global (asymptotic) stability of this steady-state equilibrium. The ?rst part of the chapter characterizes the factors that determine the existence, uniqueness and stability of a steady-state equilibrium in the elementary context of one-dimensional, ?rst-order, linear autonomous systems.

Discovering Discrete Dynamical Systems

Author : Aimee Johnson
Publisher : American Mathematical Soc.
ISBN 13 : 1614441243
Total Pages : 116 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Discovering Discrete Dynamical Systems by : Aimee Johnson

Download or read book Discovering Discrete Dynamical Systems written by Aimee Johnson and published by American Mathematical Soc.. This book was released on 2017-12-31 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovering Discrete Dynamical Systems is a mathematics textbook designed for use in a student-led, inquiry-based course for advanced mathematics majors. Fourteen modules each with an opening exploration, a short exposition and related exercises, and a concluding project guide students to self-discovery on topics such as fixed points and their classifications, chaos and fractals, Julia and Mandelbrot sets in the complex plane, and symbolic dynamics. Topics have been carefully chosen as a means for developing student persistence and skill in exploration, conjecture, and generalization while at the same time providing a coherent introduction to the fundamentals of discrete dynamical systems. This book is written for undergraduate students with the prerequisites for a first analysis course, and it can easily be used by any faculty member in a mathematics department, regardless of area of expertise. Each module starts with an exploration in which the students are asked an open-ended question. This allows the students to make discoveries which lead them to formulate the questions that will be addressed in the exposition and exercises of the module. The exposition is brief and has been written with the intent that a student who has taken, or is ready to take, a course in analysis can read the material independently. The exposition concludes with exercises which have been designed to both illustrate and explore in more depth the ideas covered in the exposition. Each module concludes with a project in which students bring the ideas from the module to bear on a more challenging or in-depth problem. A section entitled "To the Instructor" includes suggestions on how to structure a course in order to realize the inquiry-based intent of the book. The book has also been used successfully as the basis for an independent study course and as a supplementary text for an analysis course with traditional content.

Advances in Discrete Dynamical Systems

Author : Saber Elaydi
Publisher : Advanced Studies in Pure Mathe
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Discrete Dynamical Systems by : Saber Elaydi

Download or read book Advances in Discrete Dynamical Systems written by Saber Elaydi and published by Advanced Studies in Pure Mathe. This book was released on 2009 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006). ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. These proceedings comprise new results at the leading edge of many areas in difference equations and discrete dynamical systems and their various applications to the sciences, engineering, physics, and economics.

Advances in Discrete Dynamical Systems, Difference Equations and Applications

Author : Saber Elaydi
Publisher : Springer Nature
ISBN 13 : 303125225X
Total Pages : 534 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Advances in Discrete Dynamical Systems, Difference Equations and Applications by : Saber Elaydi

Download or read book Advances in Discrete Dynamical Systems, Difference Equations and Applications written by Saber Elaydi and published by Springer Nature. This book was released on 2023-03-25 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.

A First Course in Discrete Dynamical Systems

Author : Richard A. Holmgren
Publisher : Springer Science & Business Media
ISBN 13 : 1441987320
Total Pages : 231 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A First Course in Discrete Dynamical Systems by : Richard A. Holmgren

Download or read book A First Course in Discrete Dynamical Systems written by Richard A. Holmgren and published by Springer Science & Business Media. This book was released on 2012-09-05 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given the ease with which computers can do iteration it is now possible for almost anyone to generate beautiful images whose roots lie in discrete dynamical systems. Images of Mandelbrot and Julia sets abound in publications both mathematical and not. The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Mathematica programs that illustrate the dynamics are included in an appendix.

Introduction to Discrete Dynamical Systems and Chaos

Author : Mario Martelli
Publisher : John Wiley & Sons
ISBN 13 : 1118031121
Total Pages : 347 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Introduction to Discrete Dynamical Systems and Chaos by : Mario Martelli

Download or read book Introduction to Discrete Dynamical Systems and Chaos written by Mario Martelli and published by John Wiley & Sons. This book was released on 2011-11-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized. Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks. An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.

Advances in Difference Equations and Discrete Dynamical Systems

Author : Saber Elaydi
Publisher : Springer
ISBN 13 : 9811064091
Total Pages : 282 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advances in Difference Equations and Discrete Dynamical Systems by : Saber Elaydi

Download or read book Advances in Difference Equations and Discrete Dynamical Systems written by Saber Elaydi and published by Springer. This book was released on 2017-11-13 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016. The conference brought together both experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete dynamical systems with applications to mathematical sciences and, in particular, mathematical biology and economics. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete dynamical systems, and their applications.

Advances in Discrete Dynamics

Author : Jose S. Canovas
Publisher : Nova Science Publishers
ISBN 13 : 9781628088540
Total Pages : 0 pages
Book Rating : 4.0/5 (885 download)

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Book Synopsis Advances in Discrete Dynamics by : Jose S. Canovas

Download or read book Advances in Discrete Dynamics written by Jose S. Canovas and published by Nova Science Publishers. This book was released on 2013-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete dynamical systems, the main topic of this book, have had a fast development due to the development of computer science. Programming an iteration with the form xn+1 = f(xn), where f is a real function is made easy with modern computers. So, with the modern computer, it is relatively easy and fast to obtain simulations related with the dynamics of their models. Finding analytical proofs for computer simulations of models are natural and exciting problems for mathematicians and, like in a feedback process, new powerful analytical results motivate the use of discrete models. This book examines the theory of dynamical systems.

Discrete Differential Geometry

Author : Alexander I. Bobenko
Publisher : American Mathematical Society
ISBN 13 : 1470474565
Total Pages : 432 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Discrete Differential Geometry by : Alexander I. Bobenko

Download or read book Discrete Differential Geometry written by Alexander I. Bobenko and published by American Mathematical Society. This book was released on 2023-09-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in discrete differential geometry derives not only from its importance in pure mathematics but also from its applications in computer graphics, theoretical physics, architecture, and numerics. Rather unexpectedly, the very basic structures of discrete differential geometry turn out to be related to the theory of integrable systems. One of the main goals of this book is to reveal this integrable structure of discrete differential geometry. For a given smooth geometry one can suggest many different discretizations. Which one is the best? This book answers this question by providing fundamental discretization principles and applying them to numerous concrete problems. It turns out that intelligent theoretical discretizations are distinguished also by their good performance in applications. The intended audience of this book is threefold. It is a textbook on discrete differential geometry and integrable systems suitable for a one semester graduate course. On the other hand, it is addressed to specialists in geometry and mathematical physics. It reflects the recent progress in discrete differential geometry and contains many original results. The third group of readers at which this book is targeted is formed by specialists in geometry processing, computer graphics, architectural design, numerical simulations, and animation. They may find here answers to the question “How do we discretize differential geometry?” arising in their specific field. Prerequisites for reading this book include standard undergraduate background (calculus and linear algebra). No knowledge of differential geometry is expected, although some familiarity with curves and surfaces can be helpful.

An Introduction to Dynamical Systems

Author : Rex Clark Robinson
Publisher : American Mathematical Soc.
ISBN 13 : 0821891359
Total Pages : 763 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Introduction to Dynamical Systems by : Rex Clark Robinson

Download or read book An Introduction to Dynamical Systems written by Rex Clark Robinson and published by American Mathematical Soc.. This book was released on 2012 with total page 763 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year long course. The material on differential equations introduces the qualitative or geometric approach through a treatment of linear systems in any dimension. There follows chapters where equilibria are the most important feature, where scalar (energy) functions is the principal tool, where periodic orbits appear, and finally, chaotic systems of differential equations. The many different approaches are systematically introduced through examples and theorems. The material on discrete dynamical systems starts with maps of one variable and proceeds to systems in higher dimensions. The treatment starts with examples where the periodic points can be found explicitly and then introduces symbolic dynamics to analyze where they can be shown to exist but not given in explicit form. Chaotic systems are presented both mathematically and more computationally using Lyapunov exponents. With the one-dimensional maps as models, the multidimensional maps cover the same material in higher dimensions. This higher dimensional material is less computational and more conceptual and theoretical. The final chapter on fractals introduces various dimensions which is another computational tool for measuring the complexity of a system. It also treats iterated function systems which give examples of complicated sets. In the second edition of the book, much of the material has been rewritten to clarify the presentation. Also, some new material has been included in both parts of the book. This book can be used as a textbook for an advanced undergraduate course on ordinary differential equations and/or dynamical systems. Prerequisites are standard courses in calculus (single variable and multivariable), linear algebra, and introductory differential equations.

Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals

Author : Ju H. Park
Publisher : Springer
ISBN 13 : 3319962027
Total Pages : 226 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals by : Ju H. Park

Download or read book Recent Advances in Control and Filtering of Dynamic Systems with Constrained Signals written by Ju H. Park and published by Springer. This book was released on 2018-08-09 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the principle theories and applications of control and filtering problems to address emerging hot topics in feedback systems. With the development of IT technology at the core of the 4th industrial revolution, dynamic systems are becoming more sophisticated, networked, and advanced to achieve even better performance. However, this evolutionary advance in dynamic systems also leads to unavoidable constraints. In particular, such elements in control systems involve uncertainties, communication/transmission delays, external noise, sensor faults and failures, data packet dropouts, sampling and quantization errors, and switching phenomena, which have serious effects on the system’s stability and performance. This book discusses how to deal with such constraints to guarantee the system’s design objectives, focusing on real-world dynamical systems such as Markovian jump systems, networked control systems, neural networks, and complex networks, which have recently excited considerable attention. It also provides a number of practical examples to show the applicability of the presented methods and techniques. This book is of interest to graduate students, researchers and professors, as well as R&D engineers involved in control theory and applications looking to analyze dynamical systems with constraints and to synthesize various types of corresponding controllers and filters for optimal performance of feedback systems.

Difference Equations, Discrete Dynamical Systems and Applications

Author : Saber Elaydi
Publisher : Springer
ISBN 13 : 3030200167
Total Pages : 382 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Difference Equations, Discrete Dynamical Systems and Applications by : Saber Elaydi

Download or read book Difference Equations, Discrete Dynamical Systems and Applications written by Saber Elaydi and published by Springer. This book was released on 2019-06-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timișoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017. It includes new and significant contributions in the field of difference equations, discrete dynamical systems and their applications in various sciences. Disseminating recent studies and related results and promoting advances, the book appeals to PhD students, researchers, educators and practitioners in the field.

An Introduction To Chaotic Dynamical Systems

Author : Robert Devaney
Publisher : CRC Press
ISBN 13 : 0429981937
Total Pages : 280 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis An Introduction To Chaotic Dynamical Systems by : Robert Devaney

Download or read book An Introduction To Chaotic Dynamical Systems written by Robert Devaney and published by CRC Press. This book was released on 2018-03-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.

Discrete Dynamical Systems and Difference Equations with Mathematica

Author : Mustafa R.S. Kulenovic
Publisher : CRC Press
ISBN 13 : 1420035355
Total Pages : 363 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Discrete Dynamical Systems and Difference Equations with Mathematica by : Mustafa R.S. Kulenovic

Download or read book Discrete Dynamical Systems and Difference Equations with Mathematica written by Mustafa R.S. Kulenovic and published by CRC Press. This book was released on 2002-02-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the work of Yorke and Li in 1975, the theory of discrete dynamical systems and difference equations developed rapidly. The applications of difference equations also grew rapidly, especially with the introduction of graphical-interface software that can plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and find ba

Dynamical Systems

Author : Clark Robinson
Publisher : CRC Press
ISBN 13 : 1482227878
Total Pages : 522 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Dynamical Systems by : Clark Robinson

Download or read book Dynamical Systems written by Clark Robinson and published by CRC Press. This book was released on 1998-11-17 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through examples and at a level accessible to a beginning graduate student

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Author : Morris W. Hirsch
Publisher : Academic Press
ISBN 13 : 0123497035
Total Pages : 433 pages
Book Rating : 4.1/5 (234 download)

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Book Synopsis Differential Equations, Dynamical Systems, and an Introduction to Chaos by : Morris W. Hirsch

Download or read book Differential Equations, Dynamical Systems, and an Introduction to Chaos written by Morris W. Hirsch and published by Academic Press. This book was released on 2004 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.