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Mathematical formula for solving chaos
What is chaos?

Chaos is a general term for stochastic behavior of deterministic systems. Its root lies in nonlinear interaction.

The so-called "deterministic system" means that the mathematical model describing the system is a completely deterministic equation without any random factors.

The most common movement patterns in nature are usually neither completely determined nor completely random. Chaos theory provides a framework for us to better understand nature.

Chaos has many mathematical definitions. For example, positive "topological entropy" defines topological chaos; The limited "rotation interval" defines rotation chaos and so on. These definitions have strict mathematical theory and practical calculation methods. However, it is not easy to incorporate a certain mathematical model or experimental phenomenon into a certain definition of chaos. So you can generally use the following definition of chaotic work.

If the dynamic process is deterministic, it does not contain any additional random factors; A single orbit shows a random behavior that is extremely sensitive to the slight change of initial value, while some characteristic quantities obtained by long-term average or a large number of orbit averages are insensitive to the change of initial value; In addition, the above state is achieved through dynamic behavior and a series of mutations. Then, the phenomenon you are studying is probably chaos.