Best Reference Books – Discrete Dynamical Systems

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We have compiled the list of Top 10 Best Reference Books on Discrete Dynamical Systems subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Discrete Dynamical Systems along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Discrete Dynamical Systems subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Discrete Dynamical Systems" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Discrete Dynamical Systems” by Oded Galor

“Discrete Dynamical Systems” Book Review: This book is described for senior undergraduate and graduate engineering students. This book provides an introduction to discrete dynamical systems. The book characterizes the fundamental factors of quantitative and qualitative trajectories of a variety of determinants. It contains solution methods for systems that can be solved analytically. It focuses on the analysis of the evolution of state variables in first-order, one-dimensional, autonomous systems.

2. “A First Course in Discrete Dynamical Systems (Universitext)” by Richard A Holmgren
3. “An Introduction to Discrete Dynamical Systems and Their General Solutions (Applied Mathematics)” by F Oliveira-Pinto

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“An Introduction to Discrete Dynamical Systems and Their General Solutions (Applied Mathematics)” Book Review: This book is described for senior undergraduate and graduate engineering students. This book contains 1-D and 2-D general solutions of discrete and continuous analogue dynamical systems. It contains introduction to discrete dynamical systems before comparing them to continuous analogue ones. It includes some depth in their chaotic-type solutions. It includes the stabilizing effect of harvesting/fishing on oscillating dynamical systems, on periodic solutions. The book contains examples of applications to accounting, pharmacology, economic and population models.

4. “Chaos in Discrete Dynamical Systems: A Visual Introduction in 2 Dimensions” by Ralph Abraham and Laura Gardini

“Chaos in Discrete Dynamical Systems: A Visual Introduction in 2 Dimensions” Book Review: This book is described for senior undergraduate and graduate engineering students. Chaos Theory is a synonym for dynamical systems theory, a branch of mathematics. Dynamical systems contain flows, cascade and semi-cascades. The basic concepts of the theory of chaos and bifurcations for discrete dynamical systems in two-dimensions. The two-dimensional case is the current frontier of research.

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5. “Introduction to Mathematical Modeling Using Discrete Dynamical Systems” by Frederick Marotto

“Introduction to Mathematical Modeling Using Discrete Dynamical Systems” Book Review: This book is described for senior undergraduate and graduate engineering students. This book introduces powerful mathematical techniques. It contains standard analytical and modern computational methods. It includes exponential growth and decay that simple linear equations always exhibit. This book contains a wide diversity of application demonstrations. It contains theoretical or abstract such as sequences, limits, linear algebra and complex variables.

6. “Controllability of Discrete Dynamical Systems” by Shah Trupti

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“Controllability of Discrete Dynamical Systems” Book Review: This book is described for senior undergraduate and graduate engineering students. This book is used for research students who work in the field of Control theory. It contains Controllability problems and stability problems of some linear and nonlinear discrete-time systems. It includes fixed point theorem, inverse function theorem, implicit function theorems. It contains controllability results, a computational algorithm for the actual computation of steering control is discussed.

7. “Discrete Dynamical Systems” by James T Sandefur

“Discrete Dynamical Systems” Book Review: This book is described for senior undergraduate and graduate engineering students. This book is an elementary introduction to the world of dynamical systems and chaos. Dynamical systems provide a mathematical means of modelling and analyzing aspects of the changing world. Dynamical systems lead to the important concepts of stability, strange attractors, chaos and fractals. This book contains compound interest, the dilution of drugs in the body, population growth and problems in genetics. It includes worked examples and numerous exercises of varying degrees of difficulty.
“Control Problems of Discrete-Time Dynamical Systems (Studies in Systems, Decision and Control)” Book Review: This book is described for senior undergraduate and graduate engineering students. This book deals with control problems of discrete-time dynamical systems. This book includes linear and nonlinear input/output relations. In this book control problems of linear and non-linear dynamical systems will be solved as algebraically as possible. This book provides new results which are applicable for nonlinear dynamical systems. This book contains numerical examples of control problems.

8. “Control Problems of Discrete-Time Dynamical Systems (Studies in Systems, Decision and Control)” by Yasumichi Hasegawa

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“Control Problems of Discrete-Time Dynamical Systems (Studies in Systems, Decision and Control)” Book Review: This book is described for senior undergraduate and graduate engineering students. This book deals with control problems of discrete-time dynamical systems. This book includes linear and nonlinear input/output relations. In this book control problems of linear and non-linear dynamical systems will be solved as algebraically as possible. This book provides new results which are applicable for nonlinear dynamical systems. This book contains numerical examples of control problems.

9. “Geometric Theory of Discrete Nonautonomous Dynamical Systems (Lecture Notes in Mathematics)” by Christian Pötzsche

“Geometric Theory of Discrete Nonautonomous Dynamical Systems (Lecture Notes in Mathematics)” Book Review: This book is described for senior undergraduate and graduate engineering students. This book provides a mathematical framework for temporally changing phenomena. It contains the law of evolution that varies in time due to seasonal, modulation, controlling or even random effects. It provides an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems. These dynamical systems are generated by implicit difference equations, which explicitly depend on time.The results are illustrated using temporal and full discretizations of evolutionary differential equations.

10. “Les Systèmes Dynamiques Discrets (Mathématiques et Applications)” by François Robert

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“Les Systèmes Dynamiques Discrets (Mathématiques et Applications)” Book Review: This book is described for senior undergraduate and graduate engineering students. This book contains a finite set of elements, each taking a finite number of states. This book contains the analysis of the temporal dynamics of such systems. It contains discrete metric tools, one establishes results of global convergence, local convergence. It concludes towards a fixed point or towards a cycle and this for different operating modes.

People who are searching for Free downloads of books and free pdf copies of these top 10 books on Discrete Dynamical Systems – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Discrete Dynamical Systems" so that one can readily see the list of top books on "Discrete Dynamical Systems" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Discrete Dynamical Systems subject, please let us know.

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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter