书目名称 | Chaos in Discrete Dynamical Systems | 副标题 | A Visual Introductio | 编辑 | Ralph H. Abraham,Laura Gardini,Christian Mira | 视频video | | 图书封面 |  | 描述 | Chaos Theory is a synonym for dynamical systems theory, a branch of mathematics. Dynamical systems come in three flavors: flows (continuous dynamical systems), cascades (discrete, reversible, dynamical systems), and semi-cascades (discrete, irreversible, dynamical systems). Flows and semi-cascades are the classical systems iuntroduced by Poincare a centry ago, and are the subject of the extensively illustrated book: "Dynamics: The Geometry of Behavior," Addison-Wesley 1992 authored by Ralph Abraham and Shaw. Semi- cascades, also know as iterated function systems, are a recent innovation, and have been well-studied only in one dimension (the simplest case) since about 1950. The two-dimensional case is the current frontier of research. And from the computer graphcis of the leading researcher come astonishing views of the new landscape, such as the Julia and Mandelbrot sets in the beautiful books by Heinz-Otto Peigen and his co-workers. Now, the new theory of critical curves developed byMira and his students and Toulouse provide a unique opportunity to explain the basic concepts of the theory of chaos and bifurcations for discete dynamical systems in two-dimensions. The materials in t | 出版日期 | Book 1997 | 关键词 | Chaos; Maple; calculus; chaos theory; computer graphics; dynamische Systeme; geometry; linear optimization; | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-1936-1 | isbn_softcover | 978-1-4612-7347-9 | isbn_ebook | 978-1-4612-1936-1 | copyright | Springer Science+Business Media New York 1997 |
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