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Chaos Theory is a mathematical toolkit that allows us to extract ordered structures from chaos. The theory can reveal the intricate workings of such diverse natural systems as the beating of the hu...
Order on a small scale can produce chaos on a larger scale. In systems that behave without chaotic effects, small differences could eventually increase in size until they produce l...
A good way to see the butterfly effect is with a game of billiards. No matter how consistent you are with the first shot, the smallest of differences in the speed and angle with which you strike th...
The solar system is a chaotic system too. The effect of chaos cannot be ignored. Keeping an eye on asteroids and other bodies is worthwhile, since chaotic forces may one day fling an unwelcome ...
The way to unlocking the hidden structure of a chaotic system is in determining its preferred set of behaviors - known to mathematicians as its attractor. We may not be able to predict prec...
A "phase space" is used to describe the possible behaviors of a system geometrically. Phase space is not always like regular space: each location in phase space correlates with a differen...
Phase space has an important application in understanding your heartbeat.
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It states that the world is uncertain and full of surprises. Our brain, through perception, beliefs and action are trying to remain stable by minimizing the spikes, triggers and surprises.
We live inside our brains, and each of us has a unique perception of the outside world. Anything we say or document is just our way to explain the world we have lived. It has nothing to do with reality.
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Modeling systems are used to provide a better understanding of a bad situation and how to possibly prevent it.
Groups of researchers, teams of engineers and companies are d...
You can never accurately predict what's going to happen. Some efforts come close.
For example, models looking at the weather can achieve more than 90% accuracy. But crises are about change, and a model working from historical data may miss a dramatic and new change.
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The process of simplification can be a sign of aging.
Our youthful health depends on complexity. Bones get strength from detailed scaffolds and connective tissue. Even the heartbeat rel...
A complex process involves various components interacting across multiple scales in time and space. To lift a foot requires electrical, chemical, and mechanical parts to coordinate across molecular, cellular, organ, and systemic levels.
A large and growing body of research suggests that biological complexity breaks down with aging.
Various tissues and organs and their communication pathways gradually diminish and lead to disease or disability.
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