Bifurcation analysis of the motion of an asymmetric double pendulum subjected to a follower force: Codimension three problem

Nonlinear Dynamics ◽

10.1007/bf00045724 ◽

1991 ◽

Vol 2 (3) ◽

pp. 199-214 ◽

Author(s):

Yuji Matsuzaki ◽

Seiji Furuta

Keyword(s):

Bifurcation Analysis ◽

Follower Force ◽

Double Pendulum

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Bifurcation analysis of double pendulum with a follower force

Journal of Sound and Vibration ◽

10.1016/0022-460x(92)90576-j ◽

1992 ◽

Vol 154 (2) ◽

pp. 191-204 ◽

Author(s):

J.-D. Jin ◽

Y. Matsuzaki

Keyword(s):

Bifurcation Analysis ◽

Follower Force ◽

Double Pendulum

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Influence of the Nonlinear Characteristics of Elastic Elements on the Bifurcations of Equilibrium States of a Double Pendulum with Follower Force

International Applied Mechanics ◽

10.1007/s10778-005-0077-5 ◽

2005 ◽

Vol 41 (2) ◽

pp. 197-202 ◽

Author(s):

V. L. Lobas

Keyword(s):

Equilibrium States ◽

Follower Force ◽

Double Pendulum ◽

Nonlinear Characteristics ◽

Elastic Elements

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Codimension three bifurcation of a double pendulum subjected to a follower force with imperfection

10.2514/6.1990-1230 ◽

1990 ◽

Author(s):

YUJI MATSUZAKI

Keyword(s):

Follower Force ◽

Double Pendulum

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Bifurcation analysis of a double pendulum with internal resonance

Applied Mathematics and Mechanics ◽

10.1007/bf02459003 ◽

2000 ◽

Vol 21 (3) ◽

pp. 255-264 ◽

Author(s):

Bi Qinsheng ◽

Chen Yushu

Keyword(s):

Bifurcation Analysis ◽

Internal Resonance ◽

Double Pendulum

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Influence of the Follower Force Orientation on Stability Domains of the Upper Equilibrium State of Inverted Double Pendulum

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v34.i11.30 ◽

2002 ◽

Vol 34 (11) ◽

pp. 8

Author(s):

Leonid G. Lobas ◽

Lada L. Lobas

Keyword(s):

Equilibrium State ◽

Follower Force ◽

Double Pendulum

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Divergent Bifurcations of a Double Pendulum under the Action of an Asymmetric Follower Force

International Applied Mechanics ◽

10.1023/b:inam.0000046227.50540.17 ◽

2004 ◽

Vol 40 (7) ◽

pp. 821-828 ◽

Author(s):

V. V. Koval'chuk ◽

V. L. Lobas

Keyword(s):

Follower Force ◽

Double Pendulum ◽

Asymmetric Follower Force

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Limit cycles of a double pendulum subject to a follower force

International Applied Mechanics ◽

10.1007/s10778-009-0210-y ◽

2009 ◽

Vol 45 (6) ◽

pp. 670-679 ◽

Author(s):

L. G. Lobas ◽

V. Yu. Ichanskii

Keyword(s):

Limit Cycles ◽

Follower Force ◽

Double Pendulum

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On the stability of the equilibrium of the double pendulum with follower force: Some new results

Journal of Sound and Vibration ◽

10.1016/j.jsv.2021.116699 ◽

2022 ◽

pp. 116699

Author(s):

Volodymyr Puzyrov ◽

Jan Awrejcewicz ◽

Nataliya Losyeva ◽

Nina Savchenko

Keyword(s):

Follower Force ◽

Double Pendulum ◽

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Stability and bifurcations of a double pendulum subjected to a follower force

10.2514/6.1989-1205 ◽

1989 ◽

Author(s):

JI-DUO JIN ◽

YUJI MATSUZAKI

Keyword(s):

Follower Force ◽

Double Pendulum ◽

Stability And Bifurcations

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Evolution of Limit Cycles in the Stability Domain of a Double Pendulum under a Variable Follower Force

International Applied Mechanics ◽

10.1023/b:inam.0000031918.67050.54 ◽

2004 ◽

Vol 40 (3) ◽

pp. 337-344 ◽

Author(s):

I. G. Boruk ◽

V. L. Lobas

Keyword(s):

Limit Cycles ◽

Stability Domain ◽

Follower Force ◽

Double Pendulum ◽

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