Invariant Sets for Windows: Resonance Structures, Attractors, Fractals and Patterns (World Scientific Series on Nonlinear Science Series A v. 37)

Invariant Sets for Windows: Resonance Structures, Attractors, Fractals and Patterns (World Scientific Series on Nonlinear Science Series A v. 37)

By: Olga V. Malysheva (author), A.D. Morozov (author), Timothy N. Dragunov (author), etc. (author), Svetlana A. Boykova (author)Hardback

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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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Contents

Computer-generated invariant sets - description of WInSet Program; list of the built-in equations, maps and fractals of WInSet; main invariant sets of WInSet; mathematical description of invariant sets - invariant sets in Hamiltonian mechanics; area-preserving maps; non-conservative systems; non-conservative maps; diffusion equations.

Product Details

  • publication date: 15/11/1999
  • ISBN13: 9789810240714
  • Format: Hardback
  • Number Of Pages: 272
  • ID: 9789810240714
  • ISBN10: 9810240716

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