Discrete Dynamical Systems and Difference Equations with Mathematica

Kulenovic, Mustafa R.S. (Author)/ Merino, Orlando (Author)

ISBN 10: 1584882875 ISBN 13: 9781584882879
Published by Chapman & Hall, 2002
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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 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.
  • About the Author: Kulenovic, Mustafa R.S.; Merino, Orlando

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    Title: Discrete Dynamical Systems and Difference ...
    Publisher: Chapman & Hall
    Publication Date: 2002
    Binding: Hardcover
    Condition: Brand New

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    Mustafa R.S. Kulenovic, Orlando Merino
    Published by Taylor & Francis Inc, 2002
    ISBN 10: 1584882875 ISBN 13: 9781584882879
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    Kulenovic, Mustafa R.S.
    Published by Chapman and Hall/CRC, 2002
    ISBN 10: 1584882875 ISBN 13: 9781584882879
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    Condition: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-A-004--03343

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    Kulenovic, Mustafa R.S.; Merino, Orlando
    Published by Chapman and Hall/CRC, 2002
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    Kulenovic, Mustafa R. S.; & Orlando Merino
    ISBN 10: 1584882875 ISBN 13: 9781584882879
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    Hardcover. Condition: New. NOT a library discard (illustrator). First Printing of the First Edition. Boca Raton and London: Chapman and Hall/CRC, 2002. BRAND NEW in PERFECT CONDITION. Flat spine. NO chips. NO tears. NO creases. NO rubbing. NO fading. Sharp corners. Bright, shiny, clean, square and tight. NO owner's name or bookplate. NOT a remainder. Pages are fresh, crisp, clean and unmarked -- obviously never read. Equations. Graphs. Diagrams. Bibliography Index, Bound in the original green laminated boards, stamped in white and black. From the publisher: " 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.". First Printing of the First Edition. Hardcover. New/No dust jacket, as issued. Illus. by NOT a library discard. 8vo. xv, 344pp. Great Packaging, Fast Shipping. Seller Inventory # 027133

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    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Kulenovic, Mustafa R.S. Merino, OrlandoFollowing 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 t. Seller Inventory # 596344941

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