Chaos Theory

It’s not really biogeography, but the Ethan’s class and Ken’s blog, remembered me my brother trying to explain me the Chaos Theory. 

“Chaos theory describes the behaviour of certain dynamical systems – that is, systems whose states evolve with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect). As a result of this sensitivity, which manifests itself as an exponential growth of perturbations in the initial conditions, the behavior of chaotic systems appears to be random. This happens even though these systems are deterministic, meaning that their future dynamics are fully defined by their initial conditions, with no random elements involved. This behavior is known as deterministic chaos, or simply chaos.”

 

Considering the fractal definition  (a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole), you can ask: where is the relation? Chaos system is about dynamic systems and deterministic factors, such as the film that many of you have watched, The Butterfly effect. Otherwise, fractal is about static geometric traces.  Biological and physical models, e.g. weather, are explained or based on Chaos Theory, and fractal models can be kind of measurements in works on Chaos Theory. Well, the whole theory is complicated but, if I wasn’t persuasive in the relationship between them, I’ll let the pictures tell for me.

Fractal fern created using chaos game. Natural forms (ferns, clouds, mountains, etc.) may be recreated through an Iterated function system.

Fractal fern created using chaos game. Natural forms (ferns, clouds, mountains, etc.) may be recreated through an Iterated function system.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: