Difference Equations And Discrete Dynamical Systems
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Difference Equations And Discrete Dynamical Systems
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Author :
language : en
Publisher:
Release Date :
Difference Equations And Discrete Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Discrete Dynamical Systems And Difference Equations With Mathematica
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Author : Mustafa R.S. Kulenovic
language : en
Publisher: CRC Press
Release Date : 2002-02-27
Discrete Dynamical Systems And Difference Equations With Mathematica written by Mustafa R.S. Kulenovic and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-27 with Mathematics categories.
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.
Difference Equations And Discrete Dynamical Systems With Applications
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Author : Martin Bohner
language : en
Publisher: Springer Nature
Release Date : 2020-02-10
Difference Equations And Discrete Dynamical Systems With Applications written by Martin Bohner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.
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.
Difference Equations Discrete Dynamical Systems And Applications
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Author : Saber Elaydi
language : en
Publisher: Springer
Release Date : 2019-06-29
Difference Equations Discrete Dynamical Systems And Applications written by Saber Elaydi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-29 with Mathematics categories.
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.
Advances In Difference Equations And Discrete Dynamical Systems
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Author : Saber Elaydi
language : en
Publisher: Springer
Release Date : 2017-11-13
Advances In Difference Equations And Discrete Dynamical Systems written by Saber Elaydi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-13 with Mathematics categories.
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.
Difference Equations Discrete Dynamical Systems And Applications
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Author : Sorin Olaru
language : en
Publisher: Springer Nature
Release Date :
Difference Equations Discrete Dynamical Systems And Applications written by Sorin Olaru and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Progress On Difference Equations And Discrete Dynamical Systems
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Author : Steve Baigent
language : en
Publisher: Springer Nature
Release Date : 2021-01-04
Progress On Difference Equations And Discrete Dynamical Systems written by Steve Baigent and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Mathematics categories.
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.
Advances In Discrete Dynamical Systems Difference Equations And Applications
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Author : Saber Elaydi
language : en
Publisher: Springer Nature
Release Date : 2023-03-25
Advances In Discrete Dynamical Systems Difference Equations And Applications written by Saber Elaydi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-25 with Mathematics categories.
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.
Difference Equations And Discrete Dynamical Systems
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Author : Linda J. S. Allen
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2005
Difference Equations And Discrete Dynamical Systems written by Linda J. S. Allen and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
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
Discrete Dynamical Systems
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Author : Oded Galor
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-17
Discrete Dynamical Systems written by Oded Galor 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 2007-05-17 with Business & Economics categories.
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.