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

Daniela Cárcamo-Díaz; Claudio Vidal

doi:10.1007/s10884-018-9679-6

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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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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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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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 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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Relaxation and Diffusion in Hamiltonian Systems with Many Degrees of Freedom

Progress of Theoretical Physics Supplement ◽

10.1143/ptps.98.19 ◽

1989 ◽

Vol 98 ◽

pp. 19-35 ◽

Cited By ~ 17

Author(s):

Tetsuro Konishi

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

And Diffusion

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On the Tendency Toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian Systems

Hamiltonian Mechanics - NATO ASI Series ◽

10.1007/978-1-4899-0964-0_9 ◽

1994 ◽

pp. 123-129

Author(s):

Lyman Hurd ◽

Celso Grebogi ◽

Edward Ott

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom

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The inner equation for one and a half degrees of freedom rapidly forced Hamiltonian systems

Nonlinearity ◽

10.1088/0951-7715/19/6/011 ◽

2006 ◽

Vol 19 (6) ◽

pp. 1415-1445 ◽

Cited By ~ 11

Author(s):

I Baldomá

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom

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A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

Sbornik Mathematics ◽

10.1070/sm1995v186n01abeh000001 ◽

1995 ◽

Vol 186 (1) ◽

pp. 1-27 ◽

Cited By ~ 4

Author(s):

A V Bolsinov

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Integrable Hamiltonian Systems ◽

Two Degrees Of Freedom ◽

Trajectory Classification

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On the Stability of an Equilibrium Solution in Hamiltonian Systems of Two Degrees of Freedom

Instabilities in Dynamical Systems ◽

10.1007/978-94-009-9423-2_38 ◽

1979 ◽

pp. 303-305 ◽

Cited By ~ 1

Author(s):

H. Rüssmann

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Equilibrium Solution ◽

Two Degrees Of Freedom ◽

The Stability

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Hamiltonian Systems with Three Degrees of Freedom and Hydrodynamics

Hamiltonian Systems with Three or More Degrees of Freedom ◽

10.1007/978-94-011-4673-9_12 ◽

1999 ◽

pp. 127-133

Author(s):

Valery V. Kozlov

Keyword(s):

Hamiltonian Systems ◽

Degrees Of Freedom ◽

Three Degrees Of Freedom

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