WolframInstitute/ NetworkSystem

Network Systems

Contributed by: Brian A. Mboya

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["WolframInstitute/NetworkSystem"]

To load the code after installation, evaluate this code:
Needs["WolframInstitute`NetworkSystem`"]

Examples

Basic Examples (4)

Get rules:

In[1]:=

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Out[1]=

Get initial net:

In[2]:=

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Rule[ShowStringCharacters, True]], "Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["WolframInstitute/NetworkSystem", "WolframInstitute`NetworkSystem`CyclicNet"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][5]$

Out[2]=

Get all state list:

In[3]:=

Out[3]=

Plot network evolution:

In[4]:=

Out[4]=

In[5]:=

With[{tot = 15,
rule = {2, {{1, 1} -> {{{}, {1, 1}}, {2}}, {1, 2} -> {{2}, {{}, {}}}, {2, 1} -> {{2, 1}, {{}, {1}}}, {2, 2} -> {{{2}, {1}}, {}}, {2, 3} -> {{1, 2}, {2}}, {2, 4} -> {{{1}, {1}}, {2, 1}}}}
},
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]

Out[5]=

Scope (3)

Plot network for distance 2 starting from a initial condition of 3 nodes:

In[6]:=

Out[6]=

Network shown on NKS page198:

In[7]:=

$gridNet[i_, tot_] := { Switch[Mod[i, 4], 1, Mod[i - 4 + 2, tot], 2, Mod[i - 8 + 2, tot] /. 0 -> tot, 3, Mod[i + 4 - 2, tot], 0, Mod[i + 8 - 2, tot] ], i + If[Mod[i, 4] == 0, -2, 1] }$

In[8]:=

$treeNet[tot_?OddQ] := MapIndexed[# &, Join[Partition[Range[2, tot], 2], Table[{n, n}, {n, (tot + 1)/2, tot}]]]$

In[9]:=

Module[{grid, tree, cyclic, tot = 16},
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tree = treeNet[tot + 1];
grid = Table[gridNet[i, tot], {i, tot}];
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]

Out[9]=

Network shown on NKS page199:

In[10]:=

With[{tot = 5, rules = {1, {{1} -> #, {2} -> #}} & /@ {{{2, 1}, {2}}, {{1, 1}, {2}}, {{}, {2}}, {{}, {1}}}},
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Out[10]=

Publisher

Wolfram Institute

Disclosures

Paclet dependencies
Learn More »

Compatibility

Wolfram Language Version 14.2

External Links

Network Systems: A New Kind of Science

Version History

1.0.4 – 29 March 2025
1.0.3 – 27 March 2025
1.0.2 – 26 March 2025
1.0.1 – 26 March 2025
1.0.0 – 26 March 2025

License Information

MIT License

Paclet Source

Source Metadata

Citation:
- Kate L. Morrow,1 Todd Rowland,2 and Christopher M. Danforth (2009), "Dynamic structure of networks updated according to simple, local rules". 10.1103/PhysRevE.80.016103
- Stephen Wolfram, A New Kind Of Science, Wolfram Media (2002). ISBN: 1-57955-008-8