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Three principles of chaos theory

The three major principles of chaos theory are as follows:

Chaos principle is a method that combines qualitative thinking and quantitative analysis to explore the relationship between dynamic systems that cannot be determined by a single data , and the behavior must be explained and predicted using overall, continuous data relationships.

Chaos is a rather unique phenomenon caused by nonlinear effects. It has the characteristics of sensitivity to initial values, no periodicity, long-term unpredictability, fractality and universality.

Chaos theory is a theory that studies this type of typical phenomenon. It is an evolutionary theory in which a system suddenly changes from an orderly state to a disordered state. It is an analysis of the inherent "random process" that appears in a deterministic system. Research on the formation pathways and mechanisms.

Edge of chaos is a term used to describe the phenomenon discovered by computer scientist Christopher Langton. Initially, the phenomenon was used to describe a range of values ??for a variable λ, which was used as a parameter of a cellular automaton. When λ changes, the behavior of the cellular automaton will undergo a phase change.

Christopher Langton discovered that a certain small range of values ??of λ can enable cellular automata to have general computing capabilities. According to the continuous changes of λ, the transitional transformation picture between the four cellular automata can be obtained: fixed point -> period -> complexity -> chaos. Therefore, we say that complex structures are born on the edge of chaos.