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Universality and scaling in networks of period-doubling maps with a pacemaker

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Universality and scaling in networks of period-doubling maps with a pacemaker. / Ivanova, A.; Kuznetsov, S.; Osbaldestin, Andrew.

In: Discrete Dynamics in Nature and Society, Vol. 2006, 2006, p. 74723.

Research output: Contribution to journalArticlepeer-review

Harvard

Ivanova, A, Kuznetsov, S & Osbaldestin, A 2006, 'Universality and scaling in networks of period-doubling maps with a pacemaker', Discrete Dynamics in Nature and Society, vol. 2006, pp. 74723. https://doi.org/10.1155/DDNS/2006/74723

APA

Ivanova, A., Kuznetsov, S., & Osbaldestin, A. (2006). Universality and scaling in networks of period-doubling maps with a pacemaker. Discrete Dynamics in Nature and Society, 2006, 74723. https://doi.org/10.1155/DDNS/2006/74723

Vancouver

Ivanova A, Kuznetsov S, Osbaldestin A. Universality and scaling in networks of period-doubling maps with a pacemaker. Discrete Dynamics in Nature and Society. 2006;2006:74723. https://doi.org/10.1155/DDNS/2006/74723

Author

Ivanova, A. ; Kuznetsov, S. ; Osbaldestin, Andrew. / Universality and scaling in networks of period-doubling maps with a pacemaker. In: Discrete Dynamics in Nature and Society. 2006 ; Vol. 2006. pp. 74723.

Bibtex

@article{ca6d7e94c7ed430782b61a1b1b84b24c,
title = "Universality and scaling in networks of period-doubling maps with a pacemaker",
abstract = "The networks of globally coupled maps with a pacemaker have been introduced. We consider a generalization of the Kaneko model with a pacemaker represented by a single period-doubling element coupled unidirectionally with a set of other mutually coupled cells. We also investigate the dynamics of a system of two unidirectionally coupled elements, which manifests a special type of critical behaviour, known as bicriticality, at the point of simultaneous transition to chaos in both subsystems. With the help of the renormalization group (RG), we show for a case of two mutually coupled bicritical maps with a pacemaker that there are two types of coupling: dissipative and inertial. We investigate the dynamics of a network with a pacemaker with two types of global coupling and the properties of universality and scaling in this system.",
author = "A. Ivanova and S. Kuznetsov and Andrew Osbaldestin",
year = "2006",
doi = "10.1155/DDNS/2006/74723",
language = "English",
volume = "2006",
pages = "74723",
journal = "Discrete Dynamics in Nature and Society",
issn = "1026-0226",
publisher = "Hindawi Publishing Corporation",

}

RIS

TY - JOUR

T1 - Universality and scaling in networks of period-doubling maps with a pacemaker

AU - Ivanova, A.

AU - Kuznetsov, S.

AU - Osbaldestin, Andrew

PY - 2006

Y1 - 2006

N2 - The networks of globally coupled maps with a pacemaker have been introduced. We consider a generalization of the Kaneko model with a pacemaker represented by a single period-doubling element coupled unidirectionally with a set of other mutually coupled cells. We also investigate the dynamics of a system of two unidirectionally coupled elements, which manifests a special type of critical behaviour, known as bicriticality, at the point of simultaneous transition to chaos in both subsystems. With the help of the renormalization group (RG), we show for a case of two mutually coupled bicritical maps with a pacemaker that there are two types of coupling: dissipative and inertial. We investigate the dynamics of a network with a pacemaker with two types of global coupling and the properties of universality and scaling in this system.

AB - The networks of globally coupled maps with a pacemaker have been introduced. We consider a generalization of the Kaneko model with a pacemaker represented by a single period-doubling element coupled unidirectionally with a set of other mutually coupled cells. We also investigate the dynamics of a system of two unidirectionally coupled elements, which manifests a special type of critical behaviour, known as bicriticality, at the point of simultaneous transition to chaos in both subsystems. With the help of the renormalization group (RG), we show for a case of two mutually coupled bicritical maps with a pacemaker that there are two types of coupling: dissipative and inertial. We investigate the dynamics of a network with a pacemaker with two types of global coupling and the properties of universality and scaling in this system.

U2 - 10.1155/DDNS/2006/74723

DO - 10.1155/DDNS/2006/74723

M3 - Article

VL - 2006

SP - 74723

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

SN - 1026-0226

ER -

ID: 64362