Category Archives: Uncategorized

Revamp…

Today (20th January 2016) I revamped this website.  I did this because over the last number of months it became obvious to me (from feedback) that “Coarse Damping” was too contorted a term for most people to grasp, and it would be better to highlight how

Chaos and Complexity are simply

“dynamics that are difficult to compress”…

The primary result of this revamp therefore is that, within the permanent pages, I have expanded on the idea that “Chaos and Complexity” are different manifestations of systems that “coarse damp to equilibrium” by explaining that this “coarse damping” is always the result of “Incompressible Dynamics”.

Furthermore, in order to quantify the unpredictability of these incompressible dynamics, I have borrowed from Computer Science the concept of “Information Entropy”

Matrix of Entropy Dynamics - Copyright - Kieran D. Kelly


Now that I have revamped the permanent pages on this website, I intend to start blogging in earnest.

The idea behind the permanent pages is that they will hopefully act as a knowledge base, that the blog posts can reference.

The subject matter of this blog site  going forward will be “Emergent Complexity in the 21st Century”…

Hello World…


CCC - 029

Welcome to my Blog.  This blog is intended to act as a repository for my work on

—–   Chaos   &   Complexity   —–


Early in the 1980’s there was a lot of enthusiasm about the emerging science of “Chaos Theory”.  Chaos appeared to be answering questions no one had ever previously thought to ask.

Many thought that Chaos Theory might be “The Next Big Thing”; if Relativity Theory and Quantum Theory were the sciences of the 20th century, then Chaos Theory and its cousin Complexity Theory were to be the sciences of the 21st century.

Some thirty years on however, and this enthusiasm has waned somewhat; and while Chaos may have provided some interesting insights into many different and diverse scientific disciplines, it most definitely has failed to live up to, or even come close to, its initial high expectations.


One of my favorite quotes is “If I had more time I would have written a shorter letter”.  The beauty of this famous line is in its self-referential brevity and simplicity.  The point is very clear: brevity and simplicity are very hard to do!…

Writing a shorter letter is, of course, what’s difficult about science.  Good science is essentially about simplifying complexity.  It is about showing that each bit of seemingly unrelated complexity is in fact just a unique realization of some more general underlying simplicity.

You would think that this would apply to Chaos Theory and Complexity Theory.  These subjects are certainly perceived to be related in some way, but even after more than 30 years of study both have proved a little too hard to precisely pin down.  The generally accepted comparison between the two is usually something along the lines of: 

  • “Chaos is a form of Complex Behavior that can arise in Simple Systems…”
  • “Complexity is a form of Simple Order that can emerge in Complex Systems…”

Theses definitions are acceptable, if somewhat vague, yet they certainly fail to identify, a clear and simple unifying theme…


The goal of this website is to provide the illusive unifying theme of chaos and complexity…

Hopefully – if I can write a short enough letter – the contents of this website will reveal how Chaos and Complexity are merely different manifestations of the same common underlying behavior, behavior that could be best described as Coarse Damping to equilibrium.