Chaos Theory and Networking

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Chaos Theory and Networking

A group to discuss the Chaos Theory and the influence on Networking and Art. Also a place to show your work connected to the Chaos Theory.

Members: 15
Latest Activity: Apr 9

from Wikipedia:

A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3
A double rod pendulum animation showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a completely different trajectory. The double rod pendulum is one of the simplest dynamic systems that has chaotic solutions.

Chaos theory is a field of study in mathematics, with applications in several disciplines including meteorology, physics, engineering, economics and biology. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems, rendering long-term prediction impossible in general.[1] This happens even though these systems are deterministic, meaning that their future behavior is fully determined by their initial conditions, with no random elements involved.[2] In other words, the deterministic nature of these systems does not make them predictable.[3][4] This behavior is known as deterministic chaos, or simply chaos. This was summarised by Edward Lorenz as follows:[5]

Chaos: When the present determines the future, but the approximate present does not approximately determine the future.

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Comment by Borderline Grafix on April 9, 2014 at 4:10pm

Complex Rational Maps:

Comment by Claudia Garcia on April 9, 2014 at 12:27am

Fantastic works Bruno!!!

Comment by Claudia Garcia on April 9, 2014 at 12:26am

Order in Chaos

Comment by Bruno Cassaglia on April 4, 2014 at 1:08pm

Comment by Bruno Cassaglia on March 24, 2014 at 11:43pm

Comment by Claudia Garcia on March 23, 2014 at 11:10pm

Great  workssssssss Ruud!!!!

Comment by Ruud Janssen on March 23, 2014 at 12:26pm

In my recent drawings certain chaos principles are applied. Every drawing goes through about 15-20 processes and then gets ready. I work on dozens of drawings simultaneosly.

Comment by Ruud Janssen on March 23, 2014 at 12:24pm

Comment by Ruud Janssen on March 21, 2014 at 6:41pm

Comment by Ruud Janssen on March 21, 2014 at 6:41pm

 

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