Dimension Theory in Dynamical Systems
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A01=Yakov B. Pesin
academic
Author_Yakov B. Pesin
behavior
Category=PBKJ
Category=PBMX
Category=PBWL
chaos
chaotic
classroom
college
contemporary
dimensional
dynamics
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
fractals
geometric
geometry
higher education
invariant
math
mathematics
modern
natural world
nature
phenomenon
professor
research
scholarly
self similarity
stochastic
student
symmetry
teacher
textbook
theoretical
theory
university
Product details
- ISBN 9780226662220
- Weight: 539g
- Dimensions: 16 x 23mm
- Publication Date: 08 Dec 1997
- Publisher: The University of Chicago Press
- Publication City/Country: US
- Product Form: Paperback
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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 in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behaviour. In this book, Yakov Pesin introduces an area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. 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.
