Advances In Discrete Dynamical Systems Difference Equations And Applications

Author : Saber Elaydi,Mustafa R. S. Kulenović,Senada Kalabušić
Publisher : Springer Nature
Page : 534 pages
File Size : 52,5 Mb
Release : 2023-03-25
Category : Mathematics
ISBN : 9783031252259

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Advances in Discrete Dynamical Systems, Difference Equations and Applications by Saber Elaydi,Mustafa R. S. Kulenović,Senada Kalabušić Pdf

​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.

Author : Saber Elaydi,Yoshihiro Hamaya,Hideaki Matsunaga,Christian Pötzsche
Publisher : Springer
Page : 282 pages
File Size : 55,6 Mb
Release : 2017-11-13
Category : Mathematics
ISBN : 9789811064098

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Advances in Difference Equations and Discrete Dynamical Systems by Saber Elaydi,Yoshihiro Hamaya,Hideaki Matsunaga,Christian Pötzsche Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 46,5 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 9789814479219

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Difference Equations and Discrete Dynamical Systems by Anonim Pdf

Author : Saber Elaydi
Publisher : Advanced Studies in Pure Mathe
Page : 422 pages
File Size : 52,6 Mb
Release : 2009
Category : Mathematics
ISBN : UOM:39015075685464

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Advances in Discrete Dynamical Systems by Saber Elaydi Pdf

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.

Author : Mustafa R.S. Kulenovic,Orlando Merino
Publisher : CRC Press
Page : 360 pages
File Size : 52,5 Mb
Release : 2002-02-27
Category : Mathematics
ISBN : 9781420035353

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Discrete Dynamical Systems and Difference Equations with Mathematica by Mustafa R.S. Kulenovic,Orlando Merino Pdf

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 basins of attraction. Modern computer algebra systems have opened the door to the use of symbolic calculation for studying difference equations. This book offers an introduction to discrete dynamical systems and difference equations and presents the Dynamica software. Developed by the authors and based on Mathematica, Dynamica provides an easy-to-use collection of algebraic, numerical, and graphical tools and techniques that allow users to quickly gain the ability to: Find and classify the stability character of equilibrium and periodic points Perform semicycle analysis of solutions Calculate and visualize invariants Calculate and visualize Lyapunov functions and numbers Plot bifurcation diagrams Visualize stable and unstable manifolds Calculate Box Dimension While it presents the essential theoretical concepts and results, the book's emphasis is on using the software. The authors present two sets of Dynamica sessions: one that serves as a tutorial of the different techniques, the other features case studies of well-known difference equations. Dynamica and notebooks corresponding to particular chapters are available for download from the Internet.

Author : Sorin Olaru
Publisher : Springer Nature
Page : 423 pages
File Size : 54,9 Mb
Release : 2024-05-19
Category : Electronic
ISBN : 9783031510496

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Difference Equations, Discrete Dynamical Systems and Applications by Sorin Olaru Pdf

Author : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
Publisher : Springer
Page : 382 pages
File Size : 43,7 Mb
Release : 2019-06-29
Category : Mathematics
ISBN : 9783030200169

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Difference Equations, Discrete Dynamical Systems and Applications by Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu Pdf

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.

Author : Ziyad AlSharawi,Jim M. Cushing,Saber Elaydi
Publisher : Springer
Page : 222 pages
File Size : 45,6 Mb
Release : 2014-10-08
Category : Mathematics
ISBN : 3662441411

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Theory and Applications of Difference Equations and Discrete Dynamical Systems by Ziyad AlSharawi,Jim M. Cushing,Saber Elaydi Pdf

This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and applications of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular, mathematical biology, ecology, and epidemiology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear difference equations, chaos and wild chaos in Lorenz-type systems, advances in periodic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of difference equations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.

Author : Sorin Olaru,Jim Cushing,Saber Elaydi,René Lozi
Publisher : Springer
Page : 0 pages
File Size : 42,9 Mb
Release : 2024-03-11
Category : Mathematics
ISBN : 3031510488

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Difference Equations, Discrete Dynamical Systems and Applications by Sorin Olaru,Jim Cushing,Saber Elaydi,René Lozi Pdf

This book presents contributions related to new research results presented at the 27th International Conference on Difference Equations and Applications, ICDEA 2022, that was held at CentraleSupélec, Université Paris-Saclay, France, under the auspices of the International Society of Difference Equations (ISDE), July 18–22, 2022. The book aims not only to disseminate these results but to foster further advances in the fields of difference equations and discrete dynamical systems. Also included are applications to economic growth modeling, population dynamics, epidemic modeling, game theory, control systems, and network analysis. The target audience for the book includes Ph.D. students, researchers, educators, and practitioners in these fields.

Author : Lluís Alsedà i Soler,Jim M. Cushing,Saber Elaydi,Alberto A. Pinto
Publisher : Springer
Page : 335 pages
File Size : 49,6 Mb
Release : 2016-10-22
Category : Mathematics
ISBN : 9783662529270

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Difference Equations, Discrete Dynamical Systems and Applications by Lluís Alsedà i Soler,Jim M. Cushing,Saber Elaydi,Alberto A. Pinto Pdf

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments. The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.

Author : E.A. Grove,G. Ladas
Publisher : CRC Press
Page : 395 pages
File Size : 42,5 Mb
Release : 2004-12-16
Category : Mathematics
ISBN : 9780849331565

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Periodicities in Nonlinear Difference Equations by E.A. Grove,G. Ladas Pdf

Sharkovsky's Theorem, Li and Yorke's "period three implies chaos" result, and the (3x+1) conjecture are beautiful and deep results that demonstrate the rich periodic character of first-order, nonlinear difference equations. To date, however, we still know surprisingly little about higher-order nonlinear difference equations. During the last ten years, the authors of this book have been fascinated with discovering periodicities in equations of higher order which for certain values of their parameters have one of the following characteristics: 1. Every solution of the equation is periodic with the same period. 2. Every solution of the equation is eventually periodic with a prescribed period. 3. Every solution of the equation converges to a periodic solution with the same period. This monograph presents their findings along with some thought-provoking questions and many open problems and conjectures worthy of investigation. The authors also propose investigation of the global character of solutions of these equations for other values of their parameters and working toward a more complete picture of the global behavior of their solutions. With the results and discussions it presents, Periodicities in Nonlinear Difference Equations places a few more stones in the foundation of the basic theory of nonlinear difference equations. Researchers and graduate students working in difference equations and discrete dynamical systems will find much to intrigue them and inspire further work in this area.

Author : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
Publisher : Unknown
Page : 382 pages
File Size : 55,8 Mb
Release : 2019
Category : Differentiable dynamical systems
ISBN : 3030200175

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Difference Equations, Discrete Dynamical Systems and Applications by Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu Pdf

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.

Author : Ferenc Hartung,Mihály Pituk
Publisher : Springer
Page : 263 pages
File Size : 42,8 Mb
Release : 2014-08-22
Category : Mathematics
ISBN : 9783319082516

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Recent Advances in Delay Differential and Difference Equations by Ferenc Hartung,Mihály Pituk Pdf

Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.

Author : Wei-Bin Zhang
Publisher : Elsevier
Page : 460 pages
File Size : 43,6 Mb
Release : 2006-01-05
Category : Mathematics
ISBN : 0080462464

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Discrete Dynamical Systems, Bifurcations and Chaos in Economics by Wei-Bin Zhang Pdf

This book is a unique blend of difference equations theory and its exciting applications to economics. It deals with not only theory of linear (and linearized) difference equations, but also nonlinear dynamical systems which have been widely applied to economic analysis in recent years. It studies most important concepts and theorems in difference equations theory in a way that can be understood by anyone who has basic knowledge of calculus and linear algebra. It contains well-known applications and many recent developments in different fields of economics. The book also simulates many models to illustrate paths of economic dynamics. A unique book concentrated on theory of discrete dynamical systems and its traditional as well as advanced applications to economics Mathematical definitions and theorems are introduced in a systematic and easily accessible way Examples are from almost all fields of economics; technically proceeding from basic to advanced topics Lively illustrations with numerous figures Numerous simulation to see paths of economic dynamics Comprehensive treatment of the subject with a comprehensive and easily accessible approach

Author : Saber N. Elaydi,I. Gyori,G. Ladas
Publisher : CRC Press
Page : 702 pages
File Size : 49,8 Mb
Release : 1998-01-29
Category : Mathematics
ISBN : 9056995219

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Advances in Difference Equations by Saber N. Elaydi,I. Gyori,G. Ladas Pdf

The recent surge in research activity in difference equations and applications has been driven by the wide applicability of discrete models to such diverse fields as biology, engineering, physics, economics, chemistry, and psychology. The 68 papers that make up this book were presented by an international group of experts at the Second International Conference on Difference Equations, held in Veszprém, Hungary, in August, 1995. Featuring contributions on such topics as orthogonal polynomials, control theory, asymptotic behavior of solutions, stability theory, special functions, numerical analysis, oscillation theory, models of vibrating string, models of chemical reactions, discrete competition systems, the Liouville-Green (WKB) method, and chaotic phenomena, this volume offers a comprehensive review of the state of the art in this exciting field.