Equilibria, stability and Hamiltonian Hopf bifurcation of a gyrostat in an incompressible ideal fluid

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2012.07.003 ◽

2012 ◽

Vol 241 (19) ◽

pp. 1648-1654 ◽

Author(s):

Juan L.G. Guirao ◽

Juan A. Vera

Keyword(s):

Hopf Bifurcation ◽

Ideal Fluid ◽

Hamiltonian Hopf Bifurcation ◽

Incompressible Ideal Fluid

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A 1: —1 Semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamics

Hamiltonian Dynamical Systems - The IMA Volumes in Mathematics and its Applications ◽

10.1007/978-1-4613-8448-9_15 ◽

1995 ◽

pp. 217-220

Author(s):

Chjan Lim

Keyword(s):

Hopf Bifurcation ◽

Vortex Dynamics ◽

Hamiltonian Hopf Bifurcation

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The Hamiltonian Hopf bifurcation

Lecture Notes in Mathematics - The Hamiltonian Hopf Bifurcation ◽

10.1007/bfb0080362 ◽

1985 ◽

pp. 66-83 ◽

Author(s):

Jan-Cees van der Meer

Keyword(s):

Hopf Bifurcation ◽

Hamiltonian Hopf Bifurcation

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Splitting of the separatrices after a Hamiltonian–Hopf bifurcation under periodic forcing

Nonlinearity ◽

10.1088/1361-6544/aaf83f ◽

2019 ◽

Vol 32 (4) ◽

pp. 1440-1493 ◽

Author(s):

E Fontich ◽

C Simó ◽

A Vieiro

Keyword(s):

Hopf Bifurcation ◽

Periodic Forcing ◽

Hamiltonian Hopf Bifurcation

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Stability of Some Equilibrium Solutions of the Problem of Motion of a Gyrostat in an Incompressible Ideal Fluid

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-2003-3306 ◽

2003 ◽

Vol 3 (3) ◽

pp. 425-432

Author(s):

J.A. Vera ◽

A. Vigueras

Keyword(s):

Ideal Fluid ◽

Equilibrium Solutions ◽

Incompressible Ideal Fluid

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The Discrete Hamiltonian–Hopf Bifurcation for 4D Symplectic Maps

Trends in Mathematics - Extended Abstracts Spring 2014 ◽

10.1007/978-3-319-22129-8_14 ◽

2015 ◽

pp. 77-81

Author(s):

Ernest Fontich ◽

Carles Simó ◽

Arturo Vieiro

Keyword(s):

Hopf Bifurcation ◽

Symplectic Maps ◽

Hamiltonian Hopf Bifurcation

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On the stability of certain motions of a rigid body-gyrostat in an incompressible ideal fluid

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2020.103419 ◽

2020 ◽

Vol 120 ◽

pp. 103419 ◽

Author(s):

A.A. Elmandouh

Keyword(s):

Ideal Fluid ◽

Incompressible Ideal Fluid ◽

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Hamiltonian Hopf Bifurcation with Symmetry

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050200182 ◽

2002 ◽

Vol 163 (1) ◽

pp. 1-33 ◽

Author(s):

Pascal Chossat ◽

Juan-Pablo Ortega ◽

Tudor S. Ratiu

Keyword(s):

Hopf Bifurcation ◽

Hamiltonian Hopf Bifurcation

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Linear Hamiltonian Hopf bifurcation for point–group–invariant perturbations of the 1:1:1 resonance

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2003.1158 ◽

2003 ◽

Vol 459 (2040) ◽

pp. 2997-3019 ◽

Author(s):

K. Efstathiou ◽

D. A. Sadovskií ◽

R. H. Cushman

Keyword(s):

Hopf Bifurcation ◽

Point Group ◽

Group Invariant ◽

Hamiltonian Hopf Bifurcation

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Instability of a cylinder in the circulation flow of incompressible ideal fluid

Journal of Applied Mathematics and Mechanics ◽

10.1016/j.jappmathmech.2017.08.007 ◽

2017 ◽

Vol 81 (2) ◽

pp. 148-156 ◽

Author(s):

V.F. Kopiev ◽

S.A. Chernyshev ◽

M.A. Yudin

Keyword(s):

Ideal Fluid ◽

Circulation Flow ◽

Incompressible Ideal Fluid

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Oblique Injection of Incompressible Ideal Fluid from a Slot into a Free Stream

SIAM Journal on Mathematical Analysis ◽

10.1137/19m1304970 ◽

2021 ◽

Vol 53 (1) ◽

pp. 754-794

Author(s):

Jianfeng Cheng ◽

Lili Du

Keyword(s):

Ideal Fluid ◽

Free Stream ◽

Incompressible Ideal Fluid

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