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danielvartan · Oct 25, 2024 · 2abf38e · 2abf38e
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diff --git a/README.md b/README.md
@@ -7,6 +7,6 @@
 
 🌀🌪️🌩️⚡🌦️🌧️🌨️🌥️🌈☀️🌤️🌡️🌬️🔄🔍🔗🌍
 
-This repository contains a demonstration of the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system), originally introduced by Edward N. Lorenz in his seminal [1963](https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml) paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.
+This repository contains an illustration of the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system), originally introduced by Edward N. Lorenz in his seminal [1963](https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml) paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.
 
 The report is available [here](https://danielvartan.github.io/lorenz-system/).
diff --git a/docs/index.html b/docs/index.html
@@ -2,10 +2,10 @@
 <html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en"><head>
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
 <meta charset="utf-8">
-<meta name="generator" content="quarto-1.5.40">
+<meta name="generator" content="quarto-1.5.57">
 <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
 <meta name="author" content="Daniel Vartanian">
-<meta name="dcterms.date" content="2024-09-19">
+<meta name="dcterms.date" content="2024-10-25">
 <title>Lorenz System</title>
 <style>
 code{white-space: pre-wrap;}
@@ -169,7 +169,7 @@ <h1 class="title">Lorenz System</h1>
     <div>
     <div class="quarto-title-meta-heading">Published</div>
     <div class="quarto-title-meta-contents">
-      <p class="date">2024-09-19</p>
+      <p class="date">2024-10-25</p>
     </div>
   </div>
 
@@ -180,7 +180,7 @@ <h1 class="title">Lorenz System</h1>
 
 </header><!-- badges: start --><p><a href="https://www.repostatus.org/#inactive"><img src="https://www.repostatus.org/badges/latest/inactive.svg" class="img-fluid" alt="Project Status: Inactive – The project has reached a stable, usable state but is no longer being actively developed; support/maintenance will be provided as time allows."></a> <a href="https://choosealicense.com/licenses/mit/"><img src="https://img.shields.io/badge/license-MIT-green.png" class="img-fluid" alt="License: MIT"></a> <!-- badges: end --></p>
 <section id="overview" class="level2"><h2 class="anchored" data-anchor-id="overview">Overview</h2>
-<p>This document focuses on demonstrating the <a href="https://en.wikipedia.org/wiki/Lorenz_system">Lorenz system</a>, originally introduced by Edward N. Lorenz in his seminal <span class="citation" data-cites="lorenz1963">(<a href="#ref-lorenz1963" role="doc-biblioref">1963</a>)</span> paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.</p>
+<p>This document focuses on illustrating the <a href="https://en.wikipedia.org/wiki/Lorenz_system">Lorenz system</a>, originally introduced by Edward N. Lorenz in his seminal <span class="citation" data-cites="lorenz1963">(<a href="#ref-lorenz1963" role="doc-biblioref">1963</a>)</span> paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.</p>
 <p>The dynamics of the model are represented by the following set of first-order, nonlinear differential equations:</p>
 <p><span class="math display">\[
 \begin{aligned}

diff --git a/docs/index_files/figure-html/unnamed-chunk-10-1.png b/docs/index_files/figure-html/unnamed-chunk-10-1.png
diff --git a/docs/index_files/figure-html/unnamed-chunk-7-1.png b/docs/index_files/figure-html/unnamed-chunk-7-1.png
diff --git a/docs/search.json b/docs/search.json
@@ -4,7 +4,7 @@
     "href": "index.html#overview",
     "title": "Lorenz System",
     "section": "Overview",
-    "text": "Overview\nThis document focuses on demonstrating the Lorenz system, originally introduced by Edward N. Lorenz in his seminal (1963) paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.\nThe dynamics of the model are represented by the following set of first-order, nonlinear differential equations:\n\\[\n\\begin{aligned}\n\\frac{dx}{dt} &= \\sigma(y - x), \\\\\n\\frac{dy}{dt} &= x(\\rho - z) - y \\\\\n\\frac{dz}{dt} &= xy - \\beta z\n\\end{aligned}\n\\] In these equations:\n\n\n\\(x\\) represents the rate of convection;\n\n\\(y\\) denotes the horizontal temperature variation;\n\n\\(z\\) indicates the vertical temperature variation;\n\n\\(\\sigma\\), \\(\\rho\\), and \\(\\beta\\) are system parameters corresponding to the Prandtl number, Rayleigh number, and specific physical dimensions of the fluid layer.\n\nTo learn more about the Lorenz system, see Lorenz (2008)."
+    "text": "Overview\nThis document focuses on illustrating the Lorenz system, originally introduced by Edward N. Lorenz in his seminal (1963) paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.\nThe dynamics of the model are represented by the following set of first-order, nonlinear differential equations:\n\\[\n\\begin{aligned}\n\\frac{dx}{dt} &= \\sigma(y - x), \\\\\n\\frac{dy}{dt} &= x(\\rho - z) - y \\\\\n\\frac{dz}{dt} &= xy - \\beta z\n\\end{aligned}\n\\] In these equations:\n\n\n\\(x\\) represents the rate of convection;\n\n\\(y\\) denotes the horizontal temperature variation;\n\n\\(z\\) indicates the vertical temperature variation;\n\n\\(\\sigma\\), \\(\\rho\\), and \\(\\beta\\) are system parameters corresponding to the Prandtl number, Rayleigh number, and specific physical dimensions of the fluid layer.\n\nTo learn more about the Lorenz system, see Lorenz (2008)."
   },
   {
     "objectID": "index.html#setting-up-the-environment",

diff --git a/docs/site_libs/bootstrap/bootstrap.min.css b/docs/site_libs/bootstrap/bootstrap.min.css
diff --git a/docs/sitemap.xml b/docs/sitemap.xml
@@ -2,6 +2,6 @@
 <urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9">
   <url>
     <loc>https://danielvartan.github.io/lorenz-system/index.html</loc>
-    <lastmod>2024-09-19T14:55:00.497Z</lastmod>
+    <lastmod>2024-10-25T15:55:42.548Z</lastmod>
   </url>
 </urlset>
diff --git a/index.qmd b/index.qmd
@@ -12,7 +12,7 @@ source(here::here("R/quarto-setup.R"))
 
 ## Overview
 
-This document focuses on demonstrating the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system), originally introduced by Edward N. Lorenz in his seminal [-@lorenz1963] paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.
+This document focuses on illustrating the [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system), originally introduced by Edward N. Lorenz in his seminal [-@lorenz1963] paper. The Lorenz system comprises three coupled, nonlinear ordinary differential equations that model atmospheric convection, effectively illustrating the chaotic nature of weather patterns.
 
 The dynamics of the model are represented by the following set of first-order, nonlinear differential equations:
 

diff --git a/references.bib b/references.bib
@@ -8,8 +8,12 @@ @article{lorenz1963
   pages = {130--141},
   issn = {1520-0469},
   doi = {10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2},
+  url = {https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml},
+  urldate = {2024-08-13},
   abstract = {Finite systems of deterministic ordinary nonlinear differential equations may be designed to represent forced dissipative hydrodynamic flow. Solutions of these equations can be identified with trajectories in phase space. For those systems with bounded solutions, it is found that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states. Systems with bounded solutions are shown to possess bounded numerical solutions. A simple system representing cellular convection is solved numerically. All of the solutions are found to be unstable, and almost all of them are nonperiodic. The feasibility of very-long-range weather prediction is examined in the light of these results.},
-  langid = {english}
+  langid = {english},
+  keywords = {chaotic systems,complexity science,historical publications,interdisciplinary fields},
+  file = {G:\Meu Drive\Zotero\data\storage\76LTW9ET\Lorenz - 1963 - Deterministic Nonperiodic Flow.pdf}
 }
 
 @book{lorenz2008,
@@ -22,5 +26,7 @@ @book{lorenz2008
   isbn = {0-295-97514-8},
   langid = {english},
   pagetotal = {227},
-  annotation = {Publicado originalmente em 1995.}
+  keywords = {chaotic systems,complexity science,fundamentals of complexity science,interdisciplinary fields},
+  annotation = {Publicado originalmente em 1995.},
+  file = {G:\Meu Drive\Zotero\files\Lorenz - 2008 - The essence of chaos.pdf}
 }