Chaos theory is a field of study in math, with applications including physics, engineering, economics, biology.
Chaos theory shows that the results of dynamic systems can be seriously effected by initial conditions. (Also known as the butterfly effect.) Ex, if you made a rounding error with the numbers, it would create a COMPLETELY different answer in your solution. This makes it near impossible to make long-term predictions.
This happens even though the future behavior of these systems is fully determined by their initial conditions, with no random elements.
It has sensitivity to initial conditions, which means that one point can be close to other points but yield a completely different outcome.
Ferns, clouds, mountains, etc., may be created using the chaos game.
The circulatory and bronchial systems fit a fractal models. The chaos theory can accurately describe many aspects of nature.
Have you ever thought, wow, the weather can be very random at times? The weather can be COMPLETELY changed by the slightest thing that occurs; making it hard for us to make predictions.
Chaotic behavior has been observed in electrical circuits, lasers, oscillating chemical reactions, fluid dynamics, and mechanical and magneto-mechanical devices, as well as computer models of chaotic processes. In nature, examples include changes in weather, the dynamics of satellites in the solar system, the time evolution of the magnetic field of celestial bodies, population growth, action potentials in neurons, and molecular vibrations. There is some controversy over the existence of chaotic dynamics in plate tectonics and in economics. ( Even though I personally think there is.)
Neil DeGrasse Tyson: “No. The human mind, forged on the plains of Africa in search of food, sex, and shelter, is helpless in the face of infinity.
Therein is the barrier to learning calculus for most people — where infinities pop up often. The best you can do is simply grow accustomed to the concept. Which is not the same as understanding it.
And when you are ready, consider that some infinities are larger than others. For example, there are more fractions than there are counting numbers, yet they are both infinite. Just a thought to delay your sleep this evening.”