Download Full eBooks in PDF
Discrete Dynamics And Difference Equations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Discrete Dynamics And Difference Equations book. This book definitely worth reading, it is an incredibly well-written.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,9 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 9789814479219
Author : Mustafa R.S. Kulenovic,Orlando Merino
Publisher : CRC Press
Page : 360 pages
File Size : 46,6 Mb
Release : 2002-02-27
Category : Mathematics
ISBN : 9781420035353
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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 9789814466653
Author : Saber N. Elaydi,Henrique Oliveira,Jose Manuel Ferreira
Publisher : World Scientific
Page : 438 pages
File Size : 51,7 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814287647
This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems.
Author : Martin Bohner,Stefan Siegmund,Roman Šimon Hilscher,Petr Stehlík
Publisher : Springer Nature
Page : 363 pages
File Size : 46,7 Mb
Release : 2020-02-10
Category : Mathematics
ISBN : 9783030355029
This book presents the proceedings of the 24th International Conference on Difference Equations and Applications, which was held at the Technical University in Dresden, Germany, in May 2018, under the auspices of the International Society of Difference Equations (ISDE). The conference brought together leading researchers working in the respective fields to discuss the latest developments, and to promote international cooperation on the theory and applications of difference equations. This book appeals to researchers and scientists working in the fields of difference equations and discrete dynamical systems and their applications.
Author : Steve Baigent,Martin Bohner,Saber Elaydi
Publisher : Springer Nature
Page : 440 pages
File Size : 42,9 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9783030601072
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.
Author : Saber Elaydi,Yoshihiro Hamaya,Hideaki Matsunaga,Christian Pötzsche
Publisher : Springer
Page : 282 pages
File Size : 40,9 Mb
Release : 2017-11-13
Category : Mathematics
ISBN : 9789811064098
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 : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
Publisher : Springer
Page : 382 pages
File Size : 48,7 Mb
Release : 2019-06-29
Category : Mathematics
ISBN : 9783030200169
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 : Oded Galor
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 45,8 Mb
Release : 2007-05-17
Category : Business & Economics
ISBN : 9783540367765
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.
Author : Saber Elaydi,Mustafa R. S. Kulenović,Senada Kalabušić
Publisher : Springer Nature
Page : 534 pages
File Size : 53,7 Mb
Release : 2023-03-25
Category : Mathematics
ISBN : 9783031252259
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 : Sorin Olaru
Publisher : Springer Nature
Page : 423 pages
File Size : 46,6 Mb
Release : 2024-06-03
Category : Electronic
ISBN : 9783031510496
Author : Linda J. S. Allen,Bernd Aulbach,Saber Elaydi
Publisher : World Scientific Publishing Company Incorporated
Page : 324 pages
File Size : 43,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9812565205
A discrete-time Beverton-Holt competition model / Azmy S. Ackleh, Youssef M. Dib and Sophia R.-J. Jang -- A dynamic analysis of the Bush fiscal policy / Richard H. Day and Chengyu Yang -- A hybrid approximation to certain delay differential equation with a constant delay / George Seifert -- Compulsory asymptotic behavior of solutions of two-dimensional systems of difference equations / Josef Diblík and Irena R°uz̮ic̮ková -- Discrete models of differential equations : the roles of dynamic consistency and positivity / Ronald E. Mickens -- Enveloping implies global stability / Paul Cull -- Global asymptotic stability in the Jia Li model for genetically altered mosquitoes / Robert J. Sacker and Hubertus F. von Bremen -- Global behavior of solutions of a nonlinear second-order nonautonomous difference equation / Vlajko L. Kocic -- How can three species coexist in a periodic chemostat? Mathematical and numerical study / Shinji Nakaoka and Yasuhiro Takeuchi -- Information-theoretic measures of discrete orthogonal polynomials / Jesus Sanchez Dehesa ... [et al.] -- Local approximation of invariant fiber bundles : an algorithmic approach / Christian Pötzsche and Martin Rasmussen -- Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems / Serena Matucci and Pavel R̮ehák -- Non-standard finite difference methods for dissipative singular perturbation problems / Jean M.-S. Lubuma and Kailash C. Patidar -- On a class of generalized autoregressive processes / Kamal C. Chanda -- On [symbol] with period-two coefficients / Carol H. Gibbons and Carol B. Overdeep -- Periodically forced nonlinear difference equations with delay / Abdul-Aziz Yakubu -- Regularity of difference equations / Jarmo Hietarinta -- Robustness in difference equations / Jack K. Hale -- Solvability of the discrete LQR-problem under minimal assumptions / Roman Hilscher and Vera Zeidan -- Some discrete competition models and the principle of competitive exclusion / Jim M. Cushing and Sheree Le Varge -- Stability under constantly acting perturbations for difference equations and averaging / Vladimir Burd -- Symbolic dynamics in the study of bursting electrical activity / Jorge Duarte, Jose Sousa Ramos and Luis Silva
Author : Lluís Alsedà i Soler,Jim M. Cushing,Saber Elaydi,Alberto A. Pinto
Publisher : Springer
Page : 335 pages
File Size : 52,9 Mb
Release : 2016-10-22
Category : Mathematics
ISBN : 9783662529270
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 : Saber N. Elaydi,G. Ladas,Bernd Aulbach,Ondrej Dosly
Publisher : CRC Press
Page : 304 pages
File Size : 51,7 Mb
Release : 2005-04-29
Category : Mathematics
ISBN : 1420034901
The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. These papers cover all important themes, conjectures, and open problems in the fields of discrete dynamical systems and ordinary and partial difference equations, classical and contemporary, theoretical and applied.
Author : Saber Elaydi
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 51,8 Mb
Release : 2005-03-29
Category : Mathematics
ISBN : 9780387230597
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style