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Perturbations and chaos in quantum maps
(American Physical Society, 2012-08)
The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory ...
Inflationary perturbations in anisotropic, shear-free universes
(2012)
In this work, the linear and gauge-invariant theory of cosmological perturbations in a class of anisotropic and shear-free spacetimes is developed. After constructing an explicit set of complete eigenfunctions in terms of ...
Inferring propagation paths for sparsely observed perturbations on complex networks
(American Association for the Advancement of Science, 2016-10)
In a complex system, perturbations propagate by following paths on the network of interactions among the system's units. In contrast to what happens with the spreading of epidemics, observations of general perturbations ...
On the straightforward perturbation theory in classical mechanics
(IOP Publishing, 2018-06)
We show that it is possible to extract useful information from the straightforward perturbation theory in classical mechanics. Although the secular terms make the perturbation series useless for large times, these expansions ...
Dressed perturbation theory: Perturbative approach to Dyson-Schwinger and Bethe-Salpeter equations
(2014-02-12)
Dressed perturbation theory (DPT) is a perturbative approach based on the idea of using dressed propagators, instead of free propagators like in ordinary perturbation theory. Quark and gluon self-energies are added to the ...
Lifetime maps for orbits around Callisto using a double-averaged model
(2017-12-01)
The present paper studies the lifetime of orbits around a moon that is in orbit around its mother planet. In the context of the inner restricted three-body problem, the dynamical model considered in the present study uses ...
Analytical direct planetary perturbations on the orbital motion of satellites
(2013-01-01)
An analytical expansion of the disturbing function arising from direct planetary perturbations on the motion of satellites is derived. As a Fourier series, it allows the investigation of the secular effects of these direct ...
On the analytical solution for the slewing flexible beam-like system: analysis of the linear part of the perturbed problem
(2008-12-01)
The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear ...
On the analytical solution for the slewing flexible beam-like system: analysis of the linear part of the perturbed problem
(2008-12-01)
The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear ...
Analytical direct planetary perturbations on the orbital motion of satellites
(2013-01-01)
An analytical expansion of the disturbing function arising from direct planetary perturbations on the motion of satellites is derived. As a Fourier series, it allows the investigation of the secular effects of these direct ...