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

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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.

Originalsprache	englisch
Seiten (von - bis)	201-214
Fachzeitschrift	Journal of Applied Mathematics and Computing
Jahrgang	46
Ausgabenummer	1
DOIs	https://doi.org/10.1007/s12190-013-0746-1
Publikationsstatus	Veröffentlicht - 2014

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Theoretical
Application

Zugriff auf Dokument

10.1007/s12190-013-0746-1

Dieses zitieren

@article{8117b56bac2f4defa4f2cf33f442abf6,

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.",

author = "Chac{\'o}n, {Gerardo R.} and Renato Colucci and Daniele D'Angeli",

year = "2014",

doi = "10.1007/s12190-013-0746-1",

language = "English",

volume = "46",

pages = "201--214",

journal = "Journal of Applied Mathematics and Computing",

issn = "1865-2085 ",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Recurrence analysis on Julia sets of semigroups of complex polynomials

AU - Chacón, Gerardo R.

AU - Colucci, Renato

AU - D'Angeli, Daniele

PY - 2014

Y1 - 2014

N2 - 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.

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

SN - 1865-2085

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

Fields of Expertise

Treatment code (Nähere Zuordnung)

Zugriff auf Dokument

Fingerprint

Dieses zitieren