- published: 06 Jun 2008
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Chaos theory is the field of study in mathematics that studies the behavior and condition of dynamical systems that are highly sensitive to initial conditions—a response 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. 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. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos, or simply chaos. The theory was summarized by Edward Lorenz as:
Chaotic behavior exists in many natural systems, such as weather and climate. This behavior can be studied through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincaré maps. Chaos theory has applications in several disciplines, including meteorology, sociology, physics, computer science, engineering, economics, biology, and philosophy. A traffic model was developed showing that the system dynamics can pass under certain conditions to chaos.
You fly like an arrow
I lie in the shadow
Only to be blessed with silence
You shoot using your licence to kill the pain
'Cos you fly an arrow
Straight to my heart
Blow it apart every time
You go like a dream
Nothing seems real
Don't even know how I feel
Now your shy
An I'm shallow,
My brain turns like a pulp of marrow,
But oh no, I'm not planning to stay lost
I know I could remove you from chaos
But you touch me with poison
Shoots to my brain
Sending me crazy, insane
Like some kind of marrow
Give you a taste of a feeling
A much brighter place
You fly like an arrow
I lie in the shadows
Only to be blessed with silence
You should use your licence to kill the pain
'Cos you fly an arrow
Straight to my heart
Blow it apart every time
Though I may dream
Nothing seems real