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A family of models with blue sky catastrophes of different classes. / Kuptsov, Pavel V.; Kuznetsov, Sergey P.; Stankevich, Nataliya V.

In: Regular and Chaotic Dynamics, Vol. 22, No. 5, 01.09.2017, p. 551-565.

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

Harvard

Kuptsov, PV, Kuznetsov, SP & Stankevich, NV 2017, 'A family of models with blue sky catastrophes of different classes', Regular and Chaotic Dynamics, vol. 22, no. 5, pp. 551-565. https://doi.org/10.1134/S1560354717050069

APA

Kuptsov, P. V., Kuznetsov, S. P., & Stankevich, N. V. (2017). A family of models with blue sky catastrophes of different classes. Regular and Chaotic Dynamics, 22(5), 551-565. https://doi.org/10.1134/S1560354717050069

Vancouver

Kuptsov PV, Kuznetsov SP, Stankevich NV. A family of models with blue sky catastrophes of different classes. Regular and Chaotic Dynamics. 2017 Sep 1;22(5):551-565. https://doi.org/10.1134/S1560354717050069

Author

Kuptsov, Pavel V. ; Kuznetsov, Sergey P. ; Stankevich, Nataliya V. / A family of models with blue sky catastrophes of different classes. In: Regular and Chaotic Dynamics. 2017 ; Vol. 22, No. 5. pp. 551-565.

BibTeX

@article{4e7c4bbfa23b476c90141285fb647cea,
title = "A family of models with blue sky catastrophes of different classes",
abstract = "A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds.",
keywords = "blue sky catastrophe, dynamical system, hyperbolic chaos, quasi-periodic oscillations, Smale–Williams solenoid",
author = "Kuptsov, {Pavel V.} and Kuznetsov, {Sergey P.} and Stankevich, {Nataliya V.}",
note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",
year = "2017",
month = sep,
day = "1",
doi = "10.1134/S1560354717050069",
language = "English",
volume = "22",
pages = "551--565",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "5",

}

RIS

TY - JOUR

T1 - A family of models with blue sky catastrophes of different classes

AU - Kuptsov, Pavel V.

AU - Kuznetsov, Sergey P.

AU - Stankevich, Nataliya V.

N1 - Publisher Copyright: © 2017, Pleiades Publishing, Ltd.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds.

AB - A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Verification of the hyperbolicity is provided based on statistical analysis of intersection angles of stable and unstable manifolds.

KW - blue sky catastrophe

KW - dynamical system

KW - hyperbolic chaos

KW - quasi-periodic oscillations

KW - Smale–Williams solenoid

UR - http://www.scopus.com/inward/record.url?scp=85030184414&partnerID=8YFLogxK

U2 - 10.1134/S1560354717050069

DO - 10.1134/S1560354717050069

M3 - Article

AN - SCOPUS:85030184414

VL - 22

SP - 551

EP - 565

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 5

ER -

ID: 86485620