Wednesday, February 25, 2015

 

Slides for "Boolean Networks and Self-Organization" (February 25, 2015) Lecture online

I-485/H400 Lecture 12 - Boolean Networks and Self-Organizations


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Links for "Boolean Networks and Self-Organization" lecture

Random Boolean Networks Tutorial
Random Boolean Network Simple Examples
Random Boolean Networks Applet
Discrete Dynamics Lab
Network Workbench. See Discrete Network Dynamics.
Booleannet tool for simulating biological regulatory networks in a boolean formalism

Muramator Robot

Spontaneous Order and Self Organization @ Scholarpedia

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Monday, February 23, 2015

 

Slides for "Chaos and the Logistic Map," February 23, 2015 Lectures online

I485/H400 - Lecture 9 - Chaos and the Logistic Map

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Links for chaos and logistic map lecture

Logist Map Plot
Iteration versus time for the Logistic map
Time Series of Logistic Map


Andrew Clem ~ Chaos theory contains a very nice explanation of the logistic map and the white bands of periodic behavior inside the chaotic range. Try r=3.84 in the applet used in class, to see a cycle of 3 arise.

See also The birth of period 3, revisited.



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Sunday, February 22, 2015

 

Lecture Notes (Chapter 4): Self-organization and emergent complex behavior

4. Self-Organization and Emergent Complex Behavior

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Wednesday, February 18, 2015

 

Slides for "Dynamical Systems and Attractor Behavior" (February 18, 2015) lecture online

H-400/I485 - Lecture 8 - Dynamical Systems and Attractor Behavior



Chaoscope.org

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links for "Dynamical Systems and Attractor Behavior" lecture

The Icosystem Game
Turing Reaction-Diffusion Model of Morphogenesis: an applet by Chris Jennings .
Graphics Research on Reaction-Diffusion
synthetic texture using reaction-diffusion



Reaction-Diffusion in Nature

3-Body Gravitational Problem


Lorenz Attractor Applet
Lorenz Attractor Space
Explore Trajectories in the Lorenz Attractor
Sensitive dependence on initial conditions in the Lorenz Attractor. Another one.

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Tuesday, February 17, 2015

 

Slides for "From Recursion to Dynamics" (February 16, 2015) lecture online

H-400/I485 - Lecture 7 - From Recursion to Dynamics


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Monday, February 16, 2015

 

Links for "Recursion and Dynamics" Lecture

Evolutionary Robots
3D Genbots using L-systems
The GOLEM Project.

See also the research pages pages of Karl Sims, Jordan Pollack, Hod Lipson, Josh Bongard, Dario Floreano, Randy Beer, and Rolf Pfeifer.

 Gravitational Pendulum

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Tuesday, February 10, 2015

 

Goblins! Fractal Soundtracks

"This is called "Kinesis". It's an audio-visual representation of a Fractal Social Organization (FSO). FSO is a novel class of socio-technical complex systems characterized by a distributed, bio-inspired, hierarchical architecture. Based on a same building block that is recursively applied at different layers, FSO-based systems provide a homogeneous way to model collective behaviors of different complexity and scale." See note from Vincenzo De Florio | LinkedIn



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Monday, February 09, 2015

 

IBM Fractalize

"Just one of the main building blocks of the universe. Known as ‘God’s thumbprint,’ these simple math formulas reveal the intricate recursive patterns found within nature, yet still remain one of science’s best-kept secrets. Follow along as we explore the contours, curiosities and creator of this beautiful wonder of the computer age. 'A fractal is a way of seeing infinity.' —Benoit B. Mandelbrot." Play with Fractals at IBM Innovation Culture + Tumblr = IBMblr


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Slides for "Self-Similarity and L-Systems" (February 9, 2015) lecture online

I485 - Lecture 6 - Self-Similarity and L-Systems






Mandelbrot Fractal Set Trip To e214 HD from teamfresh on Vimeo.

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Links for L-Systems Lecture

Fractals


L-Systems


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Friday, February 06, 2015

 

Safecracking the Brain

“Turing’s work represents a form of probabilistic reasoning that the brain appears to have adopted to solve particular problems that are common to both perception and code-breaking,” Full article @ Nautilus




 

Meet Walter Pitts, the Homeless Genius Who Revolutionized Artificial Intelligence

"Though they started at opposite ends of the socioeconomic spectrum, McCulloch and Pitts were destined to live, work, and die together. Along the way, they would create the first mechanistic theory of the mind, the first computational approach to neuroscience, the logical design of modern computers, and the pillars of artificial intelligence." Full article @ Nautilus




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Wednesday, February 04, 2015

 

Slides for Modeling Principles of Organization lecture (Feb 4, 2015)

I485/H400 - Lecture 5 - Modeling Principles of Organization


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Fibonacci 3D "living" Sculptures

"This series of 3D printed sculptures was designed in such a way that the appendages match Fibonacci's Sequence, a mathematical sequence that manifests naturally in objects like sunflowers and pinecones. When the sculptures are spun at just the right frequency under a strobe light, a rather magical effect occurs: the sculptures seem to be animated or alive!" Full article @ SF Globe



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Eclipse Prediction on the Ancient Greek Astronomical Calculating Machine Known as the Antikythera Mechanism

Really proud to have edited this one:




"The ancient Greeks built a machine that can predict, for many years ahead, not only eclipses but also a remarkable array of their characteristics, such as directions of obscuration, magnitude, colour, angular diameter of the Moon, relationship with the Moon’s node and eclipse time. It was not entirely accurate, but it was an astonishing achievement for its era." Full paper @ PLOS ONE




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links for "Modeling Principles of Organization" lecture

Pi the Movie

Fibonacci Sequence
Peter Hilton (1923-2010) discusses intriguing number tricks that can be explained by analysing the properties of Fibonacci numbers and the related Lucas numbers. The explanations themselves benefit from further explanations which, in their turn, lead to further discoveries. Recorded at Imperial College London during the 1996 London Mathematical Society Popular Lecture series.



D'Arcy Thompson

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Tuesday, February 03, 2015

 

Slides for The Logical Mechanisms of Life (February 2, 2015) lecture

I485/H400 - Lecture 4 - The Logical Mechanisms of Life

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Lost chunk of pioneering Edsac computer found

An original part of one of the UK's pioneering computers has been found in the US. The part is a significant chunk of Edsac - a machine built at Cambridge in the late 1940s to serve scientists at the university. Full news article @ BBC News





Monday, February 02, 2015

 

Lecture notes (Chapter 3): Formalizing and Modeling the World

Formalizing and Modeling the World (pdf document)

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