Adobe PDF
(1.47 MB)
| Title Details: | |
|
One Dimensional Discrete Maps |
|
| Authors: |
Meletlidou, Efthymia |
| Reviewer: |
Tsiganis, Kleomenis |
| Subject: | NATURAL SCIENCES AND AGRICULTURAL SCIENCES > PHYSICS > GENERAL PHYSICS > NONLINEAR DYNAMICAL SYSTEMS |
| Description: | |
| Abstract: |
This chapter introduces discrete dynamical systems. We focus on one-dimensional systems, study their general evolutionary behavior, and provide specific results for the logistic map. The chapter includes the following sections:
Fixed and periodic points. Linear stability
The logistic map and the period-doubling scenario
Sensitive dependence on initial conditions and the Lyapunov exponent
The Cantor set and fractal dimension
The logistic map for R > 4
Symbolic dynamics and the definition of chaos
|
| Technical Editors: |
Koumartzis, Nikolaos Sfyrakis, Chrysovalantis |
| Graphic Editors: |
Koumartzis, Nikolaos |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/1796 |
| Bibliographic Reference: | Meletlidou, E. (2015). One Dimensional Discrete Maps [Chapter]. In Vougiatzis, G., & Meletlidou, E. 2015. Introduction to Non-Linear Dynamical Systems [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1796 |
| Language: |
Greek |
| Consists of: |
1. Mathematica notebooks για τα σχήματα του κεφαλαίου |
| Is Part of: |
Introduction to Non-Linear Dynamical Systems |
| Publication Origin: |
Kallipos, Open Academic Editions |