Sensitive Dependence on the Initial Conditions: A Primer in Chaos Theory

Chaos theory is all about how small changes in initial conditions can have unpredictable consequences, like a butterfly flapping its wings and causing a global economic meltdown. But what happens when we add a dash of sensitivity to the mix?

Meet Dr. Randomo, chief theorist, who has spent years studying the art of sensitive dependence. He's here to guide you through the basics:

What is Sensitive Dependence?

In the words of Dr. Randomo:

"Sensitive dependence on the initial conditions is when the outcome of a system is heavily influenced by the initial conditions, but not just any initial conditions – we're talking tiny, tiny changes here, like the angle of a butterfly's wing or the position of a single grain of sand."

Examples: