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Interference of robust tori on the resonance overlap
(Sociedade Brasileira de Física, 2009-09-01)
We study a dynamical system which describes the overlap of resonances in a global integrable context and we present a new topological scenario for the reconnection of three resonance island chains in the presence of two ...
Resonance and chaos .1. First-order interior resonances
(Edp Sciences S A, 1997-03-01)
Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted three-body problem. The predicted widths of the ...
Resonance and chaos: I. First-order interior resonances
(1997-03-01)
Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted threebody problem. The predicted widths of the resonances ...
Overlap of isochrone resonances: Chaos and refraction
(1997-03-01)
We consider the two nonconcentric circles billiard, with the inner circle as a refringent medium, in order to study the classical dynamics of a light ray. The eccentricity controls the chaotic sea intensity and the refraction ...
Integrable approximation to the overlap of resonances
(1992-03-02)
We study the interaction of resonances with the same order in families of integrable Hamiltonian systems. This can occur when the unperturbed Hamiltonian is at least cubic in the actions. An integrable perturbation coupling ...
Artificial satellites orbits in 2:1 resonance: GPS constellation
(Pergamon-Elsevier B.V. Ltd, 2012-12-01)
In this work, the resonance problem in the artificial satellites motion is studied. The development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an ...
Classical and quantal aspects of resonant normal forms
(1993-12-01)
The Birkhoff-Gustavson normal form is employed to study separately chaos and resonances in a system with two degrees of freedom. In the integrable regime, tunnelling effects are appreciable when the nearest level spacings ...
Artificial satellites orbits in 2:1 resonance: GPS constellation
(Elsevier B.V., 2012-12-01)
In this work, the resonance problem in the artificial satellites motion is studied. the development of the geopotential includes the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42). Through an ...
Macroscopic quantum tunneling and resonances in coupled Bose-Einstein condensates with oscillating atomic scattering length
(Elsevier B.V., 2000-08-07)
We study the macroscopic quantum tunneling, self-trapping phenomena in two weakly coupled Bose-Einstein condensates with periodically time-varying atomic scattering length.The resonances in the oscillations of the atomic ...
An analysis of the region of the Phocaea dynamical family
(Wiley-Blackwell Publishing, Inc, 2009-09-21)
In this work, I conduct a preliminary analysis of the Phocaea family region. I obtain families and clumps in the space of proper elements and proper frequencies, study the taxonomy of the asteroids for which this information ...