Uncertainty exponent
In mathematics, the uncertainty exponent is a method of measuring the fractal dimension of a . In a chaotic scattering system, the invariant set of the system is usually not directly accessible because it is non-attracting and typically of measure zero. Therefore, the only way to infer the presence of membersand to measure the properties of the invariant set is through the basins of attraction. Note that in a scattering system, basins of attraction are not limit cycles therefore do not constitute members of the invariant set. Thus the uncertainty exponent, , is defined as follows:
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Uncertainty exponent
In mathematics, the uncertainty exponent is a method of measuring the fractal dimension of a . In a chaotic scattering system, the invariant set of the system is usually not directly accessible because it is non-attracting and typically of measure zero. Therefore, the only way to infer the presence of membersand to measure the properties of the invariant set is through the basins of attraction. Note that in a scattering system, basins of attraction are not limit cycles therefore do not constitute members of the invariant set. Thus the uncertainty exponent, , is defined as follows:
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In mathematics, the uncertaint ...... t of a box-counting dimension.
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In mathematics, the uncertaint ...... nent, , is defined as follows:
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Uncertainty exponent
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