Recurrence analysis on Julia sets of semigroups of complex polynomials

Gerardo R. Chacón; Renato Colucci; Daniele D'Angeli

doi:10.1007/s12190-013-0746-1

Recurrence analysis on Julia sets of semigroups of complex polynomials

Gerardo R. Chacón, Renato Colucci^*, Daniele D'Angeli

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	201-214
Journal	Journal of Applied Mathematics and Computing
Volume	46
Issue number	1
DOIs	https://doi.org/10.1007/s12190-013-0746-1
Publication status	Published - 2014

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Theoretical
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10.1007/s12190-013-0746-1

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title = "Recurrence analysis on Julia sets of semigroups of complex polynomials",

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.",

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AU - Chacón, Gerardo R.

AU - Colucci, Renato

AU - D'Angeli, Daniele

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Y1 - 2014

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AB - 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.

U2 - 10.1007/s12190-013-0746-1

DO - 10.1007/s12190-013-0746-1

M3 - Article

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VL - 46

SP - 201

EP - 214

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1

ER -

Recurrence analysis on Julia sets of semigroups of complex polynomials

Abstract

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