Construction of chaotic dynamical system

I. Bula; I. Rumbeniece

doi:10.3846/1392-6292.2010.15.1-8

Construction of chaotic dynamical system

I. Bula^*
, I. Rumbeniece

^*Šī darba korespondējošais autors

Matemātikas nodaļa

University of Latvia

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

Kopsavilkums

The first-order difference equation x_n+1 = f(x_n), n = 0, 1, where f: R→R, is referred as an one-dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long-term. In this paper we consider family of chaotic mappings in symbol space Σ₂. We use the idea of topological semi-conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	1-8
Žurnāls	Mathematical Modelling and Analysis
Sējums	15
Izdevuma numurs	1
DOIs	https://doi.org/10.3846/1392-6292.2010.15.1-8
Publikācijas statuss	Publicēts - febr. 2010

OECD Zinātnes nozare

1.1 Matemātika

Piekļuve Dokumentiem

10.3846/1392-6292.2010.15.1-8

Citi faili un saites

Citēt šo

@article{ef28e876504a49bd9c9c0c0196480c90,

title = "Construction of chaotic dynamical system",

abstract = "The first-order difference equation xn+1 = f(xn), n = 0, 1, where f: R→R, is referred as an one-dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long-term. In this paper we consider family of chaotic mappings in symbol space Σ2. We use the idea of topological semi-conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic.",

keywords = "Binary expansion, Chaotic mapping, Increasing mapping, Infinite symbol space, Topological semi-conjugacy",

author = "I. Bula and I. Rumbeniece",

year = "2010",

month = feb,

doi = "10.3846/1392-6292.2010.15.1-8",

language = "English",

volume = "15",

pages = "1--8",

journal = "Mathematical Modelling and Analysis",

issn = "1392-6292",

publisher = "Vilnius Gediminas Technical University",

number = "1",

}

TY - JOUR

T1 - Construction of chaotic dynamical system

AU - Bula, I.

AU - Rumbeniece, I.

PY - 2010/2

Y1 - 2010/2

N2 - The first-order difference equation xn+1 = f(xn), n = 0, 1, where f: R→R, is referred as an one-dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long-term. In this paper we consider family of chaotic mappings in symbol space Σ2. We use the idea of topological semi-conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic.

AB - The first-order difference equation xn+1 = f(xn), n = 0, 1, where f: R→R, is referred as an one-dimensional discrete dynamical system. If function f is a chaotic mapping, then we talk about chaotic dynamical system. Models with chaotic mappings are not predictable in long-term. In this paper we consider family of chaotic mappings in symbol space Σ2. We use the idea of topological semi-conjugacy and so we can construct a family of mappings in the unit segment such that it is chaotic.

KW - Binary expansion

KW - Chaotic mapping

KW - Increasing mapping

KW - Infinite symbol space

KW - Topological semi-conjugacy

UR - https://www.tandfonline.com/doi/abs/10.3846/1392-6292.2010.15.1-8

UR - https://www.scopus.com/pages/publications/77951704998

U2 - 10.3846/1392-6292.2010.15.1-8

DO - 10.3846/1392-6292.2010.15.1-8

M3 - Article

AN - SCOPUS:77951704998

SN - 1392-6292

VL - 15

SP - 1

EP - 8

JO - Mathematical Modelling and Analysis

JF - Mathematical Modelling and Analysis

IS - 1

ER -

Construction of chaotic dynamical system

Kopsavilkums

OECD Zinātnes nozare

Piekļuve Dokumentiem

Citi faili un saites

Nospiedums

Citēt šo