num_pages: 259
description: This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 96 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed with the book.The book consists of two parts. Part I contains a description of WlnSet and a list of the built-in invariant sets which can be plotted using the program. This part is intended for a wide audience with interests ranging from dynamical systems to computer design.In Part II, the invariant sets presented in Part I are investigated from the theoretical perspective. The invariant sets of dynamical systems with one, one-and-a-half and two degrees of freedom, as well as those of two-dimensional maps, are discussed. The basic models of the diffusion equations are also considered. This part of the book is intended for a more advanced reader, with at least a BSc in Mathematics.
language: English
title: World Scientific Series on Nonlinear Science, Series A, Volume 37: Invariant Sets for Windows: Resonance Structures, Attractors, Fractals, and Patterns
titlecomplete: World Scientific Series on Nonlinear Science, Series A, Volume 37: Invariant Sets for Windows: Resonance Structures, Attractors, Fractals, and Patterns
publisher: World Scientific Pub Co Inc