ENGLISH

Invariant Sets for Windows

By Albert D Morozov; Timothy N Dragunov; Svetlana A Boykova; Olga V Malysheva

Book information

Publisher
World Scientific
Year
1999
ISBN
978-981-02-4071-4
Language
english
Format
PDF
Filesize
17 MB (17842673 bytes)
Series
World Scientific Series on Nonlinear Science Series A
Volume
37
Edition
1st
Pages
272\260
Time added
2016-08-11 09:28:13

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 95 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 WInSet 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.

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