Discrete Dynamical Systems And Difference Equations With Mathematica
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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.
Dynamical Systems With Applications Using Mathematica
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Author : Stephen Lynch
language : en
Publisher: Birkhäuser
Release Date : 2017-10-12
Dynamical Systems With Applications Using Mathematica written by Stephen Lynch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-12 with Mathematics categories.
This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.
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.
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.
Discrete Dynamics And Difference Equations
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Author : Saber N. Elaydi
language : en
Publisher: World Scientific
Release Date : 2010
Discrete Dynamics And Difference Equations written by Saber N. Elaydi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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.
Difference And Differential Equations
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Author : Saber Elaydi
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Difference And Differential Equations written by Saber Elaydi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This volume contains papers from the 7th International Conference on Difference Equations held at Hunan University (Changsa, China), a satellite conference of ICM2002 Beijing. The volume captures the spirit of the meeting and includes peer-reviewed survey papers, research papers, and open problems and conjectures. Articles cover stability, oscillation, chaos, symmetries, boundary value problems and bifurcations for discrete dynamical systems, difference-differential equations, and discretization of continuous systems. The book presents state-of-the-art research in these important areas. It is suitable for graduate students and researchers in difference equations and related topics.
Theory And Applications Of Difference Equations And Discrete Dynamical Systems
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Author : Ziyad AlSharawi
language : en
Publisher: Springer
Release Date : 2014-08-22
Theory And Applications Of Difference Equations And Discrete Dynamical Systems written by Ziyad AlSharawi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.
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.
Discrete Dynamics And Difference Equations
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language : en
Publisher:
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Discrete Dynamics And Difference Equations 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.
A First Course In Discrete Dynamical Systems
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Author : Richard A. Holmgren
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-05
A First Course In Discrete Dynamical Systems written by Richard A. Holmgren 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 2012-09-05 with Mathematics categories.
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.
Economic Dynamics
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Author : Ronald Shone
language : en
Publisher: Cambridge University Press
Release Date : 2002-11-28
Economic Dynamics written by Ronald Shone 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 2002-11-28 with Business & Economics categories.
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