# An Introduction to Dynamical Systems: Continuous and Discrete, Second Edition (Pure and Applied Undergraduate Texts)

## R. Clark Robinson

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This book gives a mathematical treatment of the introduction to qualitative differential equations and discrete dynamical systems. The treatment includes theoretical proofs, methods of calculation, and applications. The two parts of the book, continuous time of differential equations and discrete time of dynamical systems, can be covered independently in one semester each or combined together into a year long course. The material on differential equations introduces the qualitative or geometric approach through a treatment of linear systems in any dimensions. There follows chapters where equilibria are the most important feature, where scalar (energy) functions is the principal tool, where periodic orbits appear, and finally chaotic systems of differential equations. The many different approaches are systematically introduced through examples and theorems. The material on discrete dynamical systems starts with maps of one variable and proceeds to systems in higher dimensions. The treatment starts with examples where the periodic points can be found explicitly and then introduces symbolic dynamics to analyze where they can be shown to exist but not given in explicit form. Chaotic systems are presented both mathematically and more computationally using Lyapunov exponents. With the one-dimensional maps as models, the multidimensional maps cover the same material in higher dimensions. This higher dimensional material is less computational and more conceptual and theoretical. The final chapter on fractals introduces various dimensions which is another computational tool for measuring the complexity of a system. It also treats iterated function systems which give examples of complicated sets. In the second edition of the book, much of the material has been rewritten to clarify the presentation. Also, some new material has been included in both parts of the book. This book can be used as a textbook for an advanced undergraduate course on ordinary differential equations and/or dynamical systems. Prerequisites are standard courses in calculus (single variable and multivariable), linear algebra, and introductory differential equations.

Reseña del editor:

This book gives an introduction into the ideas of dynamical systems. Its main emphasis is on the types of behavior which nonlinear systems of differential equations can exhibit. It is divided into two parts which can be read in either order: the first part treats the aspects coming from systems of nonlinear ordinary differential equations, and the second part is comprised of those aspects dealing with iteration of a function. For professionals with a strong mathematics background.

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## 1.An Introduction To Dynamical Systems: Continuous and Discrete, 2nd ed.

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Descripción Softcover. Condición: New. 2nd edition. Brand NEW, Paperback International Edition. Black & White or color, Cover and ISBN may be different but similar contents as US editions. Standard delivery takes 5-9 business days by USPS/DHL with tracking number. Choose expedited shipping for superfast delivery 3-5 business days by UPS/DHL/FEDEX. We also ship to PO Box addresses but by Standard delivery and shipping charges will be extra. International Edition Textbooks may bear a label -Not for sale in the U.S. or Canada- etc. printed only to discourage U.S. students from obtaining an affordable copy. Legal to use despite any disclaimer on cover as per US court. No access code or CD included unless specified. In some instances, the international textbooks may have different exercises at the end of the chapters. Printed in English. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. In case of orders from Europe, custom charges may comply by the relevant government authority and we are not liable for it. 100% Customer satisfaction guaranteed! Please feel free to contact us for any queries. Nº de ref. del artículo: AB_US_1569184

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## 2.An Introduction to Dynamical Systems: Continuous and Discrete (Pure and Applied Undergraduate Texts)

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## 3.An Introduction To Dynamical Systems: Continuous And Discrete, 2Nd Edition

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## 4.An Introduction To Dynamical Systems: Continuous And Discrete, 2Nd Edition

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## 5.An Introduction To Dynamical Systems: Continuous And Discrete, 2Nd Edition

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## 6.An Introduction To Dynamical Systems: Continuous And Discrete, 2Nd Edition

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## 7.AN INTRODUCTION TO DYNAMICAL SYSTEMS (AMSTEXT/19)

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## 8.An Introduction to Dynamical Systems: Continuous and Discrete (Pure and Applied Undergraduate Texts)

Publicado por American Mathematical Society (2012)
ISBN 10: 0821891359 ISBN 13: 9780821891353
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## 9.An Introduction to Dynamical Systems: Continuous and Discrete (Pure and Applied Undergraduate Texts)

Publicado por American Mathematical Society (2012)
ISBN 10: 0821891359 ISBN 13: 9780821891353
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## 10.An Introduction to Dynamical Systems: Continuous and Discrete (Pure and Applied Undergraduate Texts)

Publicado por American Mathematical Society (2012)
ISBN 10: 0821891359 ISBN 13: 9780821891353
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