Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

F. dos Santos; C. Vidal

doi:10.1016/j.jde.2015.01.044

Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

Journal of Differential Equations ◽

10.1016/j.jde.2015.01.044 ◽

2015 ◽

Vol 258 (11) ◽

pp. 3880-3901 ◽

Cited By ~ 6

Author(s):

F. dos Santos ◽

C. Vidal

Keyword(s):

Hamiltonian Systems ◽

Equilibrium Solutions ◽

Stability Of Equilibrium ◽

Multiple Resonances

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Stability of equilibrium solutions of Hamiltonian systems with n-degrees of freedom and single resonance in the critical case

Journal of Differential Equations ◽

10.1016/j.jde.2017.12.033 ◽

2018 ◽

Vol 264 (8) ◽

pp. 5152-5179 ◽

Cited By ~ 2

Author(s):

Fabio dos Santos ◽

Claudio Vidal

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Critical Case ◽

Equilibrium Solutions ◽

Stability Of Equilibrium

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Stability of equilibrium solutions in the critical case of even-order resonance in periodic Hamiltonian systems with one degree of freedom

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-013-9488-5 ◽

2013 ◽

Vol 116 (3) ◽

pp. 265-277 ◽

Cited By ~ 2

Author(s):

José E. Mansilla ◽

Claudio Vidal

Keyword(s):

Hamiltonian Systems ◽

Critical Case ◽

Degree Of Freedom ◽

Equilibrium Solutions ◽

Order Resonance ◽

Stability Of Equilibrium ◽

Even Order

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Stability of Equilibrium Solutions of Autonomous and Periodic Hamiltonian Systems with n-Degrees of Freedom in the Case of Single Resonance

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-010-9176-z ◽

2010 ◽

Vol 22 (4) ◽

pp. 805-821 ◽

Cited By ~ 10

Author(s):

F. dos Santos ◽

José E. Mansilla ◽

C. Vidal

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Equilibrium Solutions ◽

Stability Of Equilibrium

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Stability of equilibrium solutions of Hamiltonian systems under the presence of a single resonance in the non-diagonalizable case

Regular and Chaotic Dynamics ◽

10.1134/s1560354708030039 ◽

2008 ◽

Vol 13 (3) ◽

pp. 166-177 ◽

Cited By ~ 4

Author(s):

F. dos Santos ◽

C. Vidal

Keyword(s):

Hamiltonian Systems ◽

Equilibrium Solutions ◽

Stability Of Equilibrium

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Instability of Equilibrium Solutions of Hamiltonian Systems with n-Degrees of Freedom Under the Existence of Multiple Resonances and an Application to the Spatial Satellite Problem

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-018-9679-6 ◽

2018 ◽

Vol 31 (2) ◽

pp. 853-882

Author(s):

Daniela Cárcamo-Díaz ◽

Claudio Vidal

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Equilibrium Solutions ◽

Satellite Problem ◽

Multiple Resonances

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On parameter dependence of exponential stability of equilibrium solutions in differential equations with a single constant delay

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016048 ◽

2016 ◽

Vol 36 (10) ◽

pp. 5657-5679 ◽

Cited By ~ 4

Author(s):

Junya Nishiguchi

Keyword(s):

Differential Equations ◽

Exponential Stability ◽

Parameter Dependence ◽

Equilibrium Solutions ◽

Constant Delay ◽

Stability Of Equilibrium ◽

Single Constant

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Secular variations in the restricted problem: A numerical technique for studying stability of equilibrium solutions

Astrophysics and Space Science ◽

10.1007/bf00653346 ◽

1989 ◽

Vol 162 (1) ◽

pp. 71-84 ◽

Cited By ~ 3

Author(s):

V. S. Geroyannis ◽

Catherine J. Flogaitis

Keyword(s):

Restricted Problem ◽

Numerical Technique ◽

Equilibrium Solutions ◽

Stability Of Equilibrium ◽

Secular Variations

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Instability of equilibrium solutions of Hamiltonian systems with n-degrees of freedom under the existence of a single resonance and an invariant ray

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.022 ◽

2018 ◽

Vol 265 (12) ◽

pp. 6295-6315 ◽

Cited By ~ 1

Author(s):

Daniela Carcamo ◽

Claudio Vidal

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Equilibrium Solutions

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Linearized stability of equilibrium solutions to the quasi-gasdynamic system of equations

Doklady Mathematics ◽

10.1134/s1064562410050352 ◽

2010 ◽

Vol 82 (2) ◽

pp. 811-815 ◽

Cited By ~ 7

Author(s):

A. A. Zlotnik

Keyword(s):

System Of Equations ◽

Equilibrium Solutions ◽

Stability Of Equilibrium ◽

Linearized Stability

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Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case

Regular and Chaotic Dynamics ◽

10.1134/s1560354717070097 ◽

2017 ◽

Vol 22 (7) ◽

pp. 880-892

Author(s):

Rodrigo Gutierrez ◽

Claudio Vidal

Keyword(s):

Hamiltonian Systems ◽

Equilibrium Points ◽

Degenerate Case ◽

Degree Of Freedom ◽

Stability Of Equilibrium

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