Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

G. Tigan; D. Turaev

doi:10.1016/j.physd.2011.02.013

Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

G. Tigan, D. Turaev

Research output: Contribution to journal › Review article › peer-review

36 Scopus citations

Abstract

The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.

Original language	English
Pages (from-to)	985-989
Number of pages	5
Journal	Physica D: Nonlinear Phenomena
Volume	240
Issue number	12
DOIs	https://doi.org/10.1016/j.physd.2011.02.013
State	Published - 1 Jun 2011
Externally published	Yes

Keywords

Homoclinic butterfly
Lorenz attractor
Shimizu-Morioka system

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/j.physd.2011.02.013

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title = "Analytical search for homoclinic bifurcations in the Shimizu-Morioka model",

abstract = "The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.",

keywords = "Homoclinic butterfly, Lorenz attractor, Shimizu-Morioka system",

author = "G. Tigan and D. Turaev",

note = "Funding Information: The work was supported by the Center of Advanced Studies in Mathematics at the Mathematics Department of Ben Gurion University, by a Royal Society Grant “Homoclinic bifurcations”, and partially by the IEF grant “Quribius”. ",

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journal = "Physica D: Nonlinear Phenomena",

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T1 - Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

AU - Tigan, G.

AU - Turaev, D.

N1 - Funding Information: The work was supported by the Center of Advanced Studies in Mathematics at the Mathematics Department of Ben Gurion University, by a Royal Society Grant “Homoclinic bifurcations”, and partially by the IEF grant “Quribius”.

PY - 2011/6/1

Y1 - 2011/6/1

N2 - The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.

AB - The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.

KW - Homoclinic butterfly

KW - Lorenz attractor

KW - Shimizu-Morioka system

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U2 - 10.1016/j.physd.2011.02.013

DO - 10.1016/j.physd.2011.02.013

M3 - Review article

AN - SCOPUS:79958212808

SN - 0167-2789

VL - 240

SP - 985

EP - 989

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 12

ER -

Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

Abstract

Keywords

ASJC Scopus subject areas

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