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(2001 / vol.4 / no.2)
Iteration, Iterative Roots and Iterative Equations
Weinian Zhang
Pages. 151-160     



Iteration exists extensively in the nature. Iteration of a homeomorphism generates a dynamical system. To embed such a homeomorphism into a flow we need to define fractional iteration and find iterative roots. The problem of iterative roots is to discuss iterative equations. This is a way to lead us to explore the mathematics of iteration.



Iteration, dynamical system, iterative roots, iterative equation



37E05, 39B12