ID - 131905143 TI - Sharkovsky Ordering AU - Blokh, Alexander M AU - Sharkovsky, Oleksandr M AU - SpringerLink (Online service) PY - 2022 SN - 9783030991258 9783030991234 9783030991241 PB - Cham Springer International Publishing :Imprint: Springer DB - UniCat KW - Topology KW - Functional analysis KW - Differential equations KW - Mathematics KW - Mathematical physics KW - Classical mechanics. Field theory KW - differentiaalvergelijkingen KW - mathematische modellen KW - wiskunde KW - fysica KW - topologie KW - dynamica UR - https://www.unicat.be/uniCat?func=search&query=sysid:131905143 AB - This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval and multidimensional dynamical systems. Also featured is a short chapter of personal remarks by O.M. Sharkovsky on the history of the Sharkovsky ordering, the discovery of which almost 60 years ago led to the inception of combinatorial dynamics. Now one of cornerstones of dynamics, bifurcation theory and chaos theory, the Sharkovsky ordering is an important tool for the investigation of dynamical processes in nature. Assuming only a basic mathematical background, the book will appeal to students, researchers and anyone who is interested in the subject. ER -