Introduction:

chaos theory is used to explain complex phenomena, whose nature does not respond to linear behavior and which in turn does not allow exact measurements and calculations to be determined, but despite this, significant advances have been made in science, being able to also expand to the explanations of social phenomena, in this case being violence.

Materials and Methods:

mathematical expressions are used to validate the reality, which describes rates of violence from real data in Colombia.

Results:

mathematical relationships describing chaotic behavior were obtained, which, depending on the rate of violence, define whether the value tends to zero, a constant value or chaotic behavior.

Conclusions:

a mathematical relationship was obtained that describes the entropic behavior of violence in society, whose chaotic trend approximately describes real violence values.

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