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

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Svetlana A Boykova (Nizhny Novgorod State Univ, Russia) Timothy Dragunov (Nizhny Novgorod State Univ, Russia)

Invariant Sets For Windows

Resonance Structures, Attractors, Fractals And Patterns

Svetlana A Boykova (Nizhny Novgorod State Univ, Russia), Timothy Dragunov (Nizhny Novgorod State Univ, Russia), Olga V Malysheva (Nizhny Novgorod State Univ, Russia) , Albert D Morozov (Nizhny Novgorod State Univ, Russia)

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English

World Scientific Publishing Co Pte Ltd
01 December 1998

Mathematical logic; Fractal geometry; Non-linear science; Mathematical & statistical software

Series: World Scientific Series on Nonlinear Science Series A

This text deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, and patterns) 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 One 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 Two, the invariant sets presented in Part One 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.

By: Svetlana A Boykova (Nizhny Novgorod State Univ Russia), Timothy Dragunov (Nizhny Novgorod State Univ, Russia), Olga V Malysheva (Nizhny Novgorod State Univ, Russia), Albert D Morozov (Nizhny Novgorod State Univ, Russia), Olga V. Malysheva (all of Nizhny Novgorod State University, Russia)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 37
Dimensions: Height: 230mm,
ISBN: 9789810240714
ISBN 10: 9810240716
Series: World Scientific Series on Nonlinear Science Series A
Pages: 272
Publication Date: 01 December 1998
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.