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7/24/2019 What is Chaos?
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INNOVATION
R A P I DIntroduction
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"What is Chaos?"
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INNOVATION
R A P I DIntroduction
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In physics, chaos is a word with a
specialized meaning, one thatdiffers from the everyday use ofthe word
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INNOVATION
R A P I DIntroduction
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To a physicist, the phrase "chaoticmotion" really has nothing with
whether or not the motion of aphysical system is frenzied or wild
in appearance. In fact, a chaoticsystem can actually evolve in a way
which appears smooth and ordered
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INNOVATION
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Rather, chaos refers to the issue of
whether or not it is possible to
make accurate long-term
predictions about the behavior ofthe system or why the systembehaves in a particular manner.
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INNOVATION
R A P I DFundamentals – 1
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For every motion there are two
forces acting simultaneously – one
leads to stability the other leads toinstability
Eg.: Force vs Friction, Heat Diffusion vs Surface Tension
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INNOVATION
R A P I DFundamentals – 2
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Change of Quantity leadsQualitative Transformation
Eg.: Even a small change in quantity leads to qualitative
change in behavior of the system
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INNOVATION
R A P I DFundamentals – 3
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Negation of Negative forTransforming Performance
Eg.: Eliminating small imperfections lead to dramatic changes
in system performance
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Most Systems are Chaotic –Even very simple systems are chaotic
But there is an order within chaos
Characteristics of Chaos - 1
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All elements in a Chaotic System are
interdependent on each other forfunctioning.
Interactions most important
Characteristics of Chaos - 2
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Chaotic Systems are aperiodic
Characteristics of Chaos - 3
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Chaotic Systems are governed bynon-linear equations
Characteristics of Chaos - 4
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Chaotic Systems exhibit bi-furcationsand Fractals.
Characteristics of Chaos - 5
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Chaotic Systems exhibit ‘sensitive
dependence’ on initialconditions/initial inputs
A small change either creates Chaos
or Stability
Characteristics of Chaos - 6
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Chaotic Systems are governed byone or more control parameters –
a small change can cause the chaos to either appear ordisappear
Characteristics of Chaos - 7
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Chaotic Systems operate at far from
equilibrium condition (staticequilibrium)
Characteristics of Chaos - 8
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‘Attractors’ alter the behaviour ofchaotic systems –
they cause stability or instability in the systems
Characteristics of Chaos - 9
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Chaotic Systems are eitherdissipative or self organizing
Characteristics of Chaos - 10
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Observe Respond Do
Approach to Innovation
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Thank you!INNOVATION
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Thank you!
Keep Walking!
