72.

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		2.3.7— "Strange" and "Chaotic"

		1— "Strange" Means That the Attractor Is Fractal

		The formal definition of "strange" is that the fractal dimension of the attractor is not an integer.

		2— "Chaotic" Means Sensitivity to Initial Conditions

		The formal definition of "chaotic" is that if the system is rerun with almost the same starting conditions, the values of the variables measured at the same time of the two runs separate from each other exponentially fast as a function of time.

		All 4 combinations are possible:

		The Lorenz system is strange and chaotic. There are systems that are not strange and not chaotic. There are systems that are strange and not chaotic. There are systems that are not strange and chaotic.

 

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