Discrete Dynamical Systems and Difference Equations with Mathematica

Kulenovic, Mustafa R. S.; & Orlando Merino

ISBN 10: 1584882875 / ISBN 13: 9781584882879

Editore: Chapman and Hall/CRC, Boca Raton and London, 2002

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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. Codice articolo 027133

Dati bibliografici

Titolo: Discrete Dynamical Systems and Difference ...

Casa editrice: Chapman and Hall/CRC, Boca Raton and London

Data di pubblicazione: 2002

Legatura: Hardcover

Illustratore: NOT a library discard

Condizione: New

Condizione sovraccoperta: No dust jacket, as issued

Edizione: First Printing of the First Edition.

Descrizione articolo

Riassunto:

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.

Informazioni sull?autore:

Kulenovic, Mustafa R.S.; Merino, Orlando