(Ebook) Discrete Chaos, Second Edition : With Applications in Science and Engineering by Elaydi, Saber N ISBN 9781420011043, 1420011049

(Ebook) Discrete Chaos, Second Edition : With Applications in Science and Engineering by Elaydi, Saber N ISBN 9781420011043, 1420011049

PREFACE FOREWORD The Stability of One-Dimensional Maps Introduction Maps vs. Difference Equations Maps vs. Differential Equations Linear Maps/Difference Equations Fixed (Equilibrium) Points Graphical Iteration and Stability Criteria for Stability Periodic Points and Their Stability The Period-Doubling Route to Chaos Applications Attraction and Bifurcation Introduction Basin of Attraction of Fixed Points Basin of Attraction of Periodic Orbits Singer's Theorem Bifurcation Sharkovsky's Theorem The Lorenz Map Period-Doubling in the Real World Poincaré Section/Map. Abstract: Covers global stability, bifurcation, chaos, and fractals. This book covers trace-determinant stability, bifurcation analysis, the center manifold theory, L-systems, and the Mandelbrot set as well as applications in biology, chemistry, and physics. It also offers PHASER software on a CD-ROM and Maple and Mathematica[registered] code online.