Information AboutPeriodic Point |
| CATEGORIES ABOUT PERIODIC POINT | |
| limit sets | |
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ITERATED FUNCTIONS Given an Endomorphism ''f'' on a Set ''X'' : a point ''x'' in ''X'' is called periodic point if there exists an ''n'' so that : where is the ''n''th Iterate of ''f''. The smallest positive integer ''n'' satisfying the above is called the prime period or '''least period''' of the point ''x''. If every point in ''X'' is a periodic point with the same period ''n'', then ''f'' is called ''' Periodic Function ''' with period ''n''. If ''f'' is a Diffeomorphism of a Differentiable Manifold , so that the Derivative is defined, then one says that a periodic point is hyperbolic if |
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