We describe a new factor in the recovery from inactivation in the ball and chain model. We propose a model in which the tension from the chain may help pull the ball away from its binding site, reducing the duration of the inactivation period. A corresponding model was built and analysed.
Generalized dimension - Dq and its "derivative" - f(alpha) is considered as a diagnostic tool for structure-morphology analysis of 2D images. The conditions for different shapes, placements and roots of f(aplpha) are presented and discussed.
The self-similarity of a quadratic, one parameter logistic map was shown. Depending on the value of a constant, four different patterns were obtained and analysed. Only for the chaotic region (R = 4) the obtained patterns were almost independent of the resolution used (the frequency of probing). Some of the analytical operations used as standard tools in investigating the maps properties were also analysed and suitably altered, where necessary.
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