We introduce a recurrence function in order to analyze the dynamics of semigroups of complex polynomials. We show that under a regularity hypothesis, the recurrence function is continuous in the complex plane. This is a new notion even for the case of a semigroup with just one generator.
Recurrence analysis on Julia sets of semigroups of complex polynomials / Chacón, Gerardo R.; Colucci, Renato; D'Angeli, Daniele. - In: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING. INTERNATIONAL JOURNAL. - ISSN 1598-5865. - STAMPA. - 46:1-2(2014), pp. 201-214. [10.1007/s12190-013-0746-1]
Recurrence analysis on Julia sets of semigroups of complex polynomials
Colucci, Renato;
2014-01-01
Abstract
We introduce a recurrence function in order to analyze the dynamics of semigroups of complex polynomials. We show that under a regularity hypothesis, the recurrence function is continuous in the complex plane. This is a new notion even for the case of a semigroup with just one generator.File in questo prodotto:
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