New PDF release: Discrete Dynamical Systems and Difference Equations with

New PDF release: Discrete Dynamical Systems and Difference Equations with

By Mustafa R.S. Kulenovic,Orlando Merino

ISBN-10: 1584882875

ISBN-13: 9781584882879

Following the paintings of Yorke and Li in 1975, the speculation of discrete dynamical platforms and distinction equations constructed swiftly. The purposes of distinction equations additionally grew quickly, specially with the creation of graphical-interface software program which could plot trajectories, calculate Lyapunov exponents, plot bifurcation diagrams, and locate basins of appeal.

Modern computing device algebra platforms have opened the door to using symbolic calculation for learning distinction equations. This booklet bargains an creation to discrete dynamical platforms and distinction equations and provides the Dynamica software program. built by means of the authors and in keeping with Mathematica, Dynamica offers an easy-to-use choice of algebraic, numerical, and graphical instruments and strategies that permit clients to speedy achieve the facility to:

  • Find and classify the soundness personality of equilibrium and periodic points
  • Perform semicycle research of solutions
  • Calculate and visualize invariants
  • Calculate and visualize Lyapunov capabilities and numbers
  • Plot bifurcation diagrams
  • Visualize good and risky manifolds
  • Calculate field Dimension

    While it offers the fundamental theoretical ideas and effects, the book's emphasis is on utilizing the software program. The authors current units of Dynamica periods: person who serves as an academic of different strategies, the opposite good points case experiences of recognized distinction equations. Dynamica and notebooks reminiscent of specific chapters can be found for obtain from the Internet.
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    Discrete Dynamical Systems and Difference Equations with Mathematica by Mustafa R.S. Kulenovic,Orlando Merino

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