INVARIANT SETS FOR WINDOWS (V37) (eBook)

Resonance Structures, Attractors, Fractals and Patterns

Svetlana A Boykova, Timothy Dragunov, Olga V Malysheva (Autoren)

eBook Download: PDF

1999
272 Seiten
World Scientific Publishing Company (Verlag)
978-981-279-464-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 29.11.1999
• Reihe/Serie: World Scientific Series On Nonlinear Science Series A
• Reihe/Serie: World Scientific Series On Nonlinear Science Series A
• Reihe/Serie: WS SERIES ON NONLINEAR SCIENCE SERIES A
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Themenwelt: Naturwissenschaften
• ISBN-10: 981-279-464-6 / 9812794646
• ISBN-13: 978-981-279-464-2 / 9789812794642