Sharkovsky Ordering

The Sharkovsky ordering is a comprehensive survey of the ordering, its aspects, and its applications in dynamical systems theory and applications. It discusses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval, and multidimensional dynamical systems. It also includes a short chapter of personal remarks by O.M. Sharkovsky on the history and discovery of the ordering.

Format: Paperback / softback
Length: 109 pages
Publication date: 06 September 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the intricate world of the Sharkovsky ordering, encompassing its various facets and its significant role in dynamical systems theory and applications. It explores the coexistence of cycles for continuous interval maps and one-dimensional spaces, the intricacies of combinatorial dynamics on the interval, and the complexities of multidimensional dynamical systems. Additionally, the book includes a brief chapter penned by O.M. Sharkovsky, reflecting on the history of the Sharkovsky ordering, which was discovered nearly 60 years ago and marked the beginning of combinatorial dynamics. Today, the Sharkovsky ordering stands as a cornerstone of dynamics, bifurcation theory, and chaos theory, serving as a vital tool for investigating the dynamic processes that govern nature. Written with a basic mathematical foundation, this book is accessible to students, researchers, and enthusiasts alike who are eager to delve into the captivating realm of dynamical systems.

Weight: 197g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030991234
Edition number: 1st ed. 2022