Dynamics of one-dimensional maps
By: by A.N. Sharkovsky ... [et al.].
Contributors: Sharkovskiĭ, Aleksandr Nikolaevich.
Series: Mathematics and its applications ;; v. 407; Mathematics and its applications (Kluwer Academic Publishers) ;; v. 407.
Publisher: Kluwer Academic Publishers
Published: 1997
Place of publication: Boston
Language: eng
Number of pages: 261
Subjects: Mappings (Mathematics)
Description: The theory of one-dimensional systems is one of the most efficient tools of nonlinear dynamics, as, on the one hand, it describes one-dimensional systems fairly completely, and on the other hand exhibits all basic complicated nonlinear effects. This volume has two main goals. Firstly, it acquaints the reader with the fundamentals of the theory of one-dimensional dynamical systems. Very simple nonlinear maps with a single point of extremum, also called unimodal maps, are studied.

Unimodality is found to impose hardly any restrictions on the dynamical behaviour. Secondly, it equips the reader with a comprehensive view of the problems appearing in the theory of dynamical systems and describes the methods used for their solution in the case of one-dimensional maps. Audience: This book will be of interest to researchers and postgraduate students whose work involves nonlinear dynamics.
Notes: Includes bibliographical references and index.