Discrete Dynamical Systems and Difference Equations with Mathematica

Kulenovic, Mustafa R. S.; & Orlando Merino

ISBN 10: 1584882875 / ISBN 13: 9781584882879

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

Beschreibung

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. Bestandsnummer des Verkäufers 027133

Bibliografische Details

Titel: Discrete Dynamical Systems and Difference ...

Verlag: Chapman and Hall/CRC, Boca Raton and London

Erscheinungsdatum: 2002

Einband: Hardcover

Illustrator: NOT a library discard

Zustand: New

Zustand des Schutzumschlags: No dust jacket, as issued

Auflage: First Printing of the First Edition.

Über diesen Titel

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor:

Kulenovic, Mustafa R.S.; Merino, Orlando