# Teria del caos

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• Publicado : 28 de mayo de 2011

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Chaos theory
Chaos theory is a field of study in applied mathematics, with applications in several disciplines including physics, economics, biology, and philosophy. 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 torounding errors in numerical computation) yield widely diverging outcomes for chaotic 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 notmake them predictable.[3][4] This behavior is known as deterministic chaos, or simply chaos.
Chaotic behavior can be observed in many natural systems, such as the weather.[5] Explanation of such behavior may be sought through analysis of a chaotic mathematical model, or through analytical techniques such as recurrence plots and Poincare maps.

After all, the theory of chaos is not an absence oforder; it is more a kind of order of unpredictable movement. The all idea is small changes in natural conditions in two systems carry biggest changes in the results at the end. What does it´s mean? Basically speaks of small changes almost imperceptible can make notable changes of results or established order, for example butterfly effect.

Chaos theory
Forother uses, see Chaos Theory (disambiguation).

A plot of the Lorenz attractor for values r = 28, σ = 10, b = 8/3.
Chaos theory is a field of study in applied mathematics, with applications in several disciplines including physics, economics, biology, and philosophy. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions; an effect which ispopularly 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 chaotic 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.
Chaotic behavior can be observed in many natural systems, such as the weather.[5] Explanation of such behavior may be sought through analysis of a chaotic mathematical model, or through analyticaltechniques such as recurrence plots and Poincaré maps.
Contents [hide]
1 Applications
2 Chaotic dynamics
2.1 Sensitivity to initial conditions
2.2 Topological mixing
2.3 Density of periodic orbits
2.4 Strange attractors
2.5 Minimum complexity of a chaotic system
3 History
4 Distinguishing random from chaotic data
5 Cultural references