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Invariant Sets For Windows: Resonance Structures, Attractors, Fractals And Patterns, PDF eBook

Invariant Sets For Windows: Resonance Structures, Attractors, Fractals And Patterns PDF

Part of the World Scientific Series On Nonlinear Science Series A series

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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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