Accession Number:

ADA169840

Title:

Chaotic Dynamics and Fractals. Volume 2. Notes and Reports in Mathematics in Science and Engineering.

Descriptive Note:

Final rept. 18 Oct 84-17 Oct 85,

Corporate Author:

GEORGIA INST OF TECH ATLANTA SCHOOL OF MATHEMATICS

Report Date:

1986-05-01

Pagination or Media Count:

304.0

Abstract:

Contents Chaos Solving the Unsolvable, Predicting the Unpredictable Making Chaotic Dynamical Systems to Order On the Existence and Non-Existence of Natural Boundaries for Non-Integrable Dynamical Systems The Henon Mapping in the Complex Domain Dynamical Complexity of Maps of the Interval A Use of Cellular Automata to Obtain Families of Fractals Exploding Julia Sets Algorithms for Computing Angles in the Mandelbrot Set The Parameter Space for Complex Cubic Polynomials Disconnected Julia Sets Calculation of Taylor Series for Julia Sets in Powers of a Parameter Diophantine Properties of Julia Sets Real Space Renormalization and Julia Sets in Statistical Mechanics Regular and Chaotic Cycling in Models from Population and Ecological Genetics A Bifurcation Gap for a Singularly Perturbed Delay Equation and Traveling Waves for Forced Fishers Equation.

Subject Categories:

  • Solid State Physics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE