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Discrete Dynamical Systems and Difference Equations with Mathematica - Tapa dura

Kulenovic, Mustafa R.S.; Merino, Orlando

 
9781584882879: Discrete Dynamical Systems and Difference Equations with Mathematica
Tapa dura
ISBN 10: 1584882875 ISBN 13: 9781584882879
Editorial: Chapman and Hall/CRC, 2019

Sinopsis

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.

    • "Sinopsis" puede pertenecer a otra edición de este libro.

    Acerca del autor

    Kulenovic, Mustafa R.S.; Merino, Orlando

    "Sobre este título" puede pertenecer a otra edición de este libro.

    Editorial
    Chapman and Hall/CRC
    Año de publicación
    2019
    Idioma
    Inglés
    ISBN 10 
    1584882875
    ISBN 13 
    9781584882879
    Encuadernación
    Tapa dura
    Número de edición
    1
    Número de páginas
    362
    Contacto del fabricante
    Taylor and Francis, GPSR Taylor and Francis
    gpsr@taylorandfrancis.com

    Taylor & Francis Verlag GmbH, Kaufingerstraße 24
    München
    80331
    Alemania