Quasi-periodic bifurcations of four-frequency tori in the ring of five coupled van der Pol oscillators with different types of dissipative coupling

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Quasi-periodic bifurcations of four-frequency tori in the ring of five coupled van der Pol oscillators with different types of dissipative coupling. / Stankevich, N. V.; Kuznetsov, A. P.; Seleznev, E. P.

In: Technical Physics, Vol. 62, No. 6, 01.06.2017, p. 971-974.

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

BibTeX

@article{b95a34d0f90b4751a1d6355b7c377d7e,

title = "Quasi-periodic bifurcations of four-frequency tori in the ring of five coupled van der Pol oscillators with different types of dissipative coupling",

abstract = "Five van der Pol oscillators connected into a ring have been investigated numerically. We have considered different types of coupling: dissipative and active, as well as dissipative and active with a single coupling sign reversal. Bifurcations observed upon a transition from a five- to four-frequency torus have been investigated. The possibility of quasi-periodic Hopf bifurcation in this system has been established.",

author = "Stankevich, {N. V.} and Kuznetsov, {A. P.} and Seleznev, {E. P.}",

note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",

year = "2017",

month = jun,

day = "1",

doi = "10.1134/S106378421706024X",

language = "English",

volume = "62",

pages = "971--974",

journal = "Technical Physics",

issn = "1063-7842",

publisher = "Pleiades Publishing",

number = "6",

}

RIS

TY - JOUR

T1 - Quasi-periodic bifurcations of four-frequency tori in the ring of five coupled van der Pol oscillators with different types of dissipative coupling

AU - Stankevich, N. V.

AU - Kuznetsov, A. P.

AU - Seleznev, E. P.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - Five van der Pol oscillators connected into a ring have been investigated numerically. We have considered different types of coupling: dissipative and active, as well as dissipative and active with a single coupling sign reversal. Bifurcations observed upon a transition from a five- to four-frequency torus have been investigated. The possibility of quasi-periodic Hopf bifurcation in this system has been established.

AB - Five van der Pol oscillators connected into a ring have been investigated numerically. We have considered different types of coupling: dissipative and active, as well as dissipative and active with a single coupling sign reversal. Bifurcations observed upon a transition from a five- to four-frequency torus have been investigated. The possibility of quasi-periodic Hopf bifurcation in this system has been established.

UR - http://www.scopus.com/inward/record.url?scp=85021279418&partnerID=8YFLogxK

U2 - 10.1134/S106378421706024X

DO - 10.1134/S106378421706024X

M3 - Article

AN - SCOPUS:85021279418

VL - 62

SP - 971

EP - 974

JO - Technical Physics

JF - Technical Physics

SN - 1063-7842

IS - 6

ER -

ID: 86485768