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Introduction
What is Chaos Theory?
Law of Sensitive Dependence
Examples of the Law of Sensitive Dependence to Initial Conditions
The Montgomery Bus Boycott
What are some real-life implementations of Chaos Theory?
Chaos theory in marital success
The Grandfather Paradox
The Butterfly Effect in Chaos Theory
Closing Remarks
Have you ever wondered why weather prediction is so difficult?
The root of Lorenz's idea was a central concept in Chaos Theory, called Sensitivity on Initial
An example of this is a system called a "Double Pendulum."
The motion of a double pendulum is highly dependant on the starting position.
"Sensitivity on initial conditions" means that starting the pendulum in a slightly different position would cause drastically different behavior.
The Lorenz Equation
Edward Lorenz (from before, remember?) developed a set of equations to model a simplified weather system.
Convective flow in the atmosphere can form super cool looking clouds, known as "roll clouds."
By plotting all four solutions simultaneously, we may see the small differences between them.
Of course, the weather is far more complex than this simple set of equations.
Introduction
Illustrating Chaos Theory with pendulums (demo)
Fractal geometry: A bridge from Newton to 20th Century mathematics
The three great theorems of 20th Century mathematics
The concept of State Space
Lorenz State Space
Cantor's Set and the prototype fractal
Hilbert's Decision Problem
The link between 20th Century mathematics and fractal geometry
The predictability of chaotic systems
Predicting hurricanes with Chaos Theory
The Bell experiment: proving the universe is not real?
Counterfactuals in Bell's theorem
Applying fractals to Bell's theorem
The end of spatial reductionism