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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 ...
The resonance overlap and Hill stability criteria revisited
(Springer, 2015-08)
We review the orbital stability of the planar circular restricted three-body problemin the case of massless particles initially located between both massive bodies. We presentnew estimates of the resonance overlap criterion ...
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 ...
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 ...
Fast Metabolite Identification in Nuclear Magnetic Resonance Metabolomic Studies: Statistical Peak Sorting and Peak Overlap Detection for More Reliable Database Queries
(American Chemical Society, 2018-01)
A lot of time is spent by researchers in the identification of metabolites in NMR-based metabolomic studies. The usual metabolite identification starts employing public or commercial databases to match chemical shifts ...
Testing the accuracy of the overlap criterion
(Pergamon-Elsevier Science Ltd, 2009-03)
Here we investigate the accuracy of the overlap criterion when applied to a simple near-integrable model in both its 2D and 3D versions. To this end, we consider, respectively, two and three quartic oscillators as the ...
Influence of magnification on extraction efficiency in laser resonators with non-overlapping beams
(Institute of Physics Publishing, 2015-04)
The magnification and the Fresnel number determine the mode profile and losses in a bare unstable resonator. Upon inclusion of gain, both the beam pattern and the reflectivity are changed, more than in a stable cavity, ...
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 ...
INTEGRABLE APPROXIMATION TO THE OVERLAP OF RESONANCES
(Elsevier Science BvAmsterdamHolanda, 1992)