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OverviewThis 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. Full Product DetailsAuthor: 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)Publisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd Volume: 37 ISBN: 9789810240714ISBN 10: 9810240716 Pages: 272 Publication Date: 15 November 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsComputer-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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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