Length4h 33m
About this audiobook
This document is presented as one of the necessary conditions that must be met to obtain a Ph.D. degree in the Engineering Faculty at Universidad de los Andes. Its purpose is three fold: first, to serve as complementary reference work on what I know is a research topic which I, and other researchers, will be following in the near future: chaos in transit systems. Second, as a tool for me in order to present a coherent compendium of the work I have been advancing on the past three years; namely the study of simplistic models of a vehicle interacting with traffic lights. Finally, in the third place, to comply with one of the Ph.D. program requisites.
Throughout the time I have invested in the Ph.D. program, I have participated in various research projects within the research group that I am part of. So far I have helped to develop a conceptual model for a research center in Colombia (56), contributed to a paper that discusses how variation can be a useful concept for management (26), and focused the effort of the last years into understanding the conditions under which a simple traffic model is subject to chaos (49). This document will focus on the most recent of those projects.
Audiobook details
GenreBusiness and Economics
Length4 hrs 33 mins
Narrated byListen with 1,000+ voices
FormateBook with Audio
Publish dateApr 1, 2011
LanguageEnglish
Table of contents
1Publicaciones de la Facultad de ingeniería
2Chaos in Transit Systems
3Villalobos Durán, Jorge
4Acknowledgements
5Contents
Show all chaptersShow less
6List of Tables
7CONTENTS
84.5. Chaos in Parameter Space, Model Comparison ......
93.1 Reference diagram for the construction of the 2D
10LIST OF FIGURES
11furcation diagram on top.
12Chapter 1
13on the past three years; namely the study of simplistic models of
14the best bet.
15Chapter 2
16conditions 1 and 2.
172.1. maps
18= 𝜆𝑁
192.1. maps
20ferent for each initial condition.
212.2. Bifurcation diagrams
222.3. Lyapunov Exponents
23ln
242.3. lyapunov exponents
25on chaos
26The discussion on the last two paragraphs of the last section lead
272.5. Summary
28Chapter 3
29action between a single moving vehicle and traffic lights. Although
30(among other observed phenomena).
31Section 2.4).
32(b) Time (∆𝜏)
33(d) Bifurcation diagram
343.4. Symbolic Results
35between traffic lights.
36situation.
37Ω0 2𝜋
38Ω𝐿 2𝜋
39Ω𝑈 2𝜋
403.5. Chaos in Parameter Space and Scaling Laws
413.5. chaos in parameter space
42observations.
43the data from Figures 3.8(c) (black dots) and 3.8(d) (gray dots).
44the horizontal axis by:
45(b) Time between lights
46simple traffic model: car
47model, the combination of parameters for which the system shows
48Additionally a brief description of the system subject to a green
49Chapter 4
50−𝑡𝑠𝑖𝑛
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