Period-multiplying bifurcations and multifurcations in conservative mappings

P. Pakarinen; R. M. Nieminen

doi:10.1088/0305-4470/16/10/007

Period-multiplying bifurcations and multifurcations in conservative mappings

P. Pakarinen^*
, R. M. Nieminen

^*Tämän työn vastaava kirjoittaja

Ei julkaistu Aalto-yliopiston affiliaatiolla

University of Jyväskylä

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Viittaukset (Web of Science)

Abstrakti

The authors have investigated numerically and analytically the period-doubling bifurcations and multifurcations of the periodic orbits of the conservative sine-Gordon mappings. They have derived a general equation for the appearance of multifurcations in conservative mappings. In agreement with many recent studies, they also find evidence that such mappings possess universality properties. They also discuss the role of multifurcations in conservative mappings exhibiting chaotic behaviour.

Alkuperäiskieli	Englanti
Sivut	2105-2119
Sivumäärä	15
Julkaisu	Journal of Physics A: Mathematical and General
Vuosikerta	16
Numero	10
DOI - pysyväislinkit	https://doi.org/10.1088/0305-4470/16/10/007
Tila	Julkaistu - 1983
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.1088/0305-4470/16/10/007

Muut tiedostot ja linkit

Link to publication in Scopus

Siteeraa tätä

@article{edd4c2cf5db24beca964fddcd6826ff2,

title = "Period-multiplying bifurcations and multifurcations in conservative mappings",

abstract = "The authors have investigated numerically and analytically the period-doubling bifurcations and multifurcations of the periodic orbits of the conservative sine-Gordon mappings. They have derived a general equation for the appearance of multifurcations in conservative mappings. In agreement with many recent studies, they also find evidence that such mappings possess universality properties. They also discuss the role of multifurcations in conservative mappings exhibiting chaotic behaviour.",

author = "P. Pakarinen and Nieminen, \{R. M.\}",

year = "1983",

doi = "10.1088/0305-4470/16/10/007",

language = "English",

volume = "16",

pages = "2105--2119",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "Institute of Physics Publishing",

number = "10",

}

TY - JOUR

T1 - Period-multiplying bifurcations and multifurcations in conservative mappings

AU - Pakarinen, P.

AU - Nieminen, R. M.

PY - 1983

Y1 - 1983

N2 - The authors have investigated numerically and analytically the period-doubling bifurcations and multifurcations of the periodic orbits of the conservative sine-Gordon mappings. They have derived a general equation for the appearance of multifurcations in conservative mappings. In agreement with many recent studies, they also find evidence that such mappings possess universality properties. They also discuss the role of multifurcations in conservative mappings exhibiting chaotic behaviour.

AB - The authors have investigated numerically and analytically the period-doubling bifurcations and multifurcations of the periodic orbits of the conservative sine-Gordon mappings. They have derived a general equation for the appearance of multifurcations in conservative mappings. In agreement with many recent studies, they also find evidence that such mappings possess universality properties. They also discuss the role of multifurcations in conservative mappings exhibiting chaotic behaviour.

UR - https://www.scopus.com/pages/publications/36149046535

U2 - 10.1088/0305-4470/16/10/007

DO - 10.1088/0305-4470/16/10/007

M3 - Article

AN - SCOPUS:36149046535

SN - 0305-4470

VL - 16

SP - 2105

EP - 2119

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 10

ER -

Period-multiplying bifurcations and multifurcations in conservative mappings

Abstrakti

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Siteeraa tätä