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Discrete Dynamical Systems and Difference Equations with Mathematica

Discrete Dynamical Systems and Difference Equations with Mathematica
Author: Mustafa R.S. Kulenovic
Publisher: CRC Press
Total Pages: 363
Release: 2002-02-27
Genre: Mathematics
ISBN: 1420035355

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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 with Applications Using Mathematica®

Dynamical Systems with Applications Using Mathematica®
Author: Stephen Lynch
Publisher: Birkhäuser
Total Pages: 585
Release: 2017-10-12
Genre: Mathematics
ISBN: 3319614851

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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.


Advances in Difference Equations and Discrete Dynamical Systems

Advances in Difference Equations and Discrete Dynamical Systems
Author: Saber Elaydi
Publisher: Springer
Total Pages: 282
Release: 2017-11-13
Genre: Mathematics
ISBN: 9811064091

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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 Dynamical Systems, Difference Equations and Applications

Advances in Discrete Dynamical Systems, Difference Equations and Applications
Author: Saber Elaydi
Publisher: Springer Nature
Total Pages: 534
Release: 2023-03-25
Genre: Mathematics
ISBN: 303125225X

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​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.


Discrete Dynamics and Difference Equations

Discrete Dynamics and Difference Equations
Author: Saber N. Elaydi
Publisher: World Scientific
Total Pages: 438
Release: 2010
Genre: Mathematics
ISBN: 9814287644

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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

Difference and Differential Equations
Author: Saber Elaydi
Publisher: American Mathematical Soc.
Total Pages: 450
Release: 2004
Genre: Mathematics
ISBN: 0821833545

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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

Theory and Applications of Difference Equations and Discrete Dynamical Systems
Author: Ziyad AlSharawi
Publisher: Springer
Total Pages: 222
Release: 2014-10-08
Genre: Mathematics
ISBN: 9783662441411

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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.


The Stability of Dynamical Systems

The Stability of Dynamical Systems
Author: J. P. LaSalle
Publisher: SIAM
Total Pages: 81
Release: 1976-01-01
Genre: Mathematics
ISBN: 0898710227

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An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations.