Dimension Theory in Dynamical Systems 作者:Pesin, Yakov 出版年:1997-12 页数:314 定价:$ 33.90 丛书:Chicago Lectures in Mathematics ISBN:9780226662220 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 + 加入购书单
Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field. Pesin'...
The dimension theory of dynamical systems has progressively developed, especially over the last two decades, into an independent and extremely active field of research. Its main aim is to study the complexity of sets and measures that are invariant under the dynamics. In particular, it is essentia...
Dimension Theory in Dynamical Systems: Contemporary Views and Applications The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study...
摘要: The key idea here is borrowed from dimension theory. The starting point is a new concept which behaves like a dimension and is devoted to distinguish zero topological entropy systems. It is a dynamical invariant but also reflects geometrical features....
active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Top...
Dimension theory Peter R. Massopust, in Fractal Functions, Fractal Surfaces, and Wavelets (Second Edition), 2016 2 Metric dimensions In Section 1 an example of a metric dimension (ie, the Hausdorff dimension) was encountered. Here it is shown that the Hausdorff dimension can be defined in a...
AN ANALYSIS OF STABILITY OF TRENDS IN MUTUAL FUNDS USING FRACTAL DIMENSION INDEX (FDI) COMPUTED FROM HURST EXPONENTS This chapter introduces the basic concepts of dynamical systems theory, and several basic mathematical methods for controlling chaos. The main goal of this chapter is to provide an ...
A 3-ODE predator-prey type model of the L-H transition is investigated with bifurcation theory of dynamical systems. The analysis shows that the model contains three types of transitions: an oscillating transition, a sharp transition with hysteresis, and a smooth transition. The model is ...
We study dynamical systems generated by skew products: $$T: [0,1)\times \mathbb {C}\rightarrow [0,1)\times \mathbb {C} \quad \quad T(x,y)=(bx\mod 1,\gamma