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Chapman and Hall/CRC Discrete Dynamical Systems and Difference Equations with Mathematica

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Description

Discrete dynamical systems and difference equations have evolved dramatically since Yorke and Li's foundational 1975 work, with applications expanding across scientific and engineering domains. This Chapman and Hall/CRC book introduces the theory and practice of discrete dynamical systems whilst leveraging modern computer algebra systems for symbolic calculation. The text harnesses graphical-interface software capabilities to visualize trajectories, compute Lyapunov exponents, generate bifurcation diagrams, and identify basins of attraction. By combining classical mathematical foundations with contemporary computational tools, the book bridges theoretical understanding and practical implementation using Mathematica, making complex dynamical behaviour accessible to students and researchers seeking hands-on exploration of nonlinear systems and their long-term behaviour patterns.

Key Features

Chapman and Hall/CRC publication covering discrete dynamical systems theory and difference equations from foundational principles through advanced applications.

Mathematica-based computational approach enables symbolic calculation and automated analysis of complex dynamical behaviour.

Graphical visualisation tools for plotting trajectories and bifurcation diagrams to understand system dynamics across parameter ranges.

Practical methods for calculating Lyapunov exponents and identifying basins of attraction in discrete systems.

Bridges mathematical theory with modern computer algebra systems for studying difference equations both analytically and numerically.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
27 September 2019
Listed Since
05 February 2007

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