Search Results - Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles
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Converse flexoelectricity yields large piezoresponse force microscopy signals in non-piezoelectric materials
ISSN: 2041-1723, 2041-1723Published: London Nature Publishing Group UK 20.03.2019Published in Nature communications (20.03.2019)“…Converse flexoelectricity is a mechanical stress induced by an electric polarization gradient. It can appear in any material, irrespective of symmetry,…”
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Trapezoid central configurations
ISSN: 0096-3003, 1873-5649Published: Elsevier Inc 01.04.2019Published in Applied mathematics and computation (01.04.2019)“…We classify all planar four–body central configurations where two pairs of the bodies are on parallel lines. Using cartesian coordinates, we show that the set…”
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Tails and bridges in the parabolic restricted three-body problem
ISSN: 0035-8711, 1365-2966Published: London Oxford University Press 11.12.2017Published in Monthly notices of the Royal Astronomical Society (11.12.2017)“… The goal of this paper is to present a mechanism, applying techniques of dynamical systems theory, that explains the formation of tails and bridges between galaxies in a simple model, the so-called…”
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To and fro motion for the hydrogen atom in a circularly polarized microwave field
ISSN: 1007-5704, 1878-7274Published: Amsterdam Elsevier B.V 01.01.2018Published in Communications in nonlinear science & numerical simulation (01.01.2018)“…•Computation of families (and bifurcations) of ECO.•Description of the dynamics of the CP problem in a global sense…”
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Classifying four-body convex central configurations
ISSN: 0923-2958, 1572-9478Published: Dordrecht Springer Netherlands 01.07.2019Published in Celestial mechanics and dynamical astronomy (01.07.2019)“…We classify the full set of convex central configurations in the Newtonian planar four-body problem. Particular attention is given to configurations possessing…”
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Spatial collinear restricted four-body problem with repulsive Manev potential
ISSN: 0923-2958, 1572-9478Published: Dordrecht Springer Netherlands 01.09.2017Published in Celestial mechanics and dynamical astronomy (01.09.2017)“…We outline some aspects of the dynamics of an infinitesimal mass under the Newtonian attraction of three point masses in a symmetric collinear relative equilibria configuration when a repulsive Manev potential ( - 1 / r + e / r 2 ), e…”
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A Special Family of Stacked Central Configurations: Lagrange Plus Euler in One
ISSN: 1040-7294, 1572-9222Published: New York Springer US 01.06.2019Published in Journal of dynamics and differential equations (01.06.2019)“…We show the existence of a family of stacked central configurations in the planar five-body problem with a special property. Three bodies m 1 , m 2 and m 3 ,…”
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On Strictly Convex Central Configurations of the 2n-Body Problem
ISSN: 1040-7294, 1572-9222Published: New York Springer US 01.12.2019Published in Journal of dynamics and differential equations (01.12.2019)“…We consider planar central configurations of the Newtonian 2 n -body problem consisting in two twisted regular n -gons of equal masses. We prove the conjecture…”
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A family of stacked central configurations in the planar five-body problem
ISSN: 0923-2958, 1572-9478Published: Dordrecht Springer Netherlands 01.11.2017Published in Celestial mechanics and dynamical astronomy (01.11.2017)“…We study planar central configurations of the five-body problem where three bodies, m 1 , m 2 and m 3 , are collinear and ordered from left to right, while the…”
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Dynamics of the parabolic restricted three-body problem
ISSN: 1007-5704, 1878-7274Published: Elsevier B.V 01.12.2015Published in Communications in nonlinear science & numerical simulation (01.12.2015)“…•We study planar parabolic restricted three body problem with two equal masses.•We classify the final evolution of a particle after the close approach of the bodies…”
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A note on a family of non-gravitational central force potentials in dimension one
ISSN: 0893-9659, 1873-5452Published: Elsevier Ltd 01.12.2017Published in Applied mathematics letters (01.12.2017)“… We offer an alternative point of view for the study for the motion of a system of two particles which will always move in some fixed line, we take R for the position space…”
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A Four-Body Convex Central Configuration with Perpendicular Diagonals is Necessarily a Kite
ISSN: 1575-5460, 1662-3592Published: Cham Springer International Publishing 01.07.2018Published in Qualitative theory of dynamical systems (01.07.2018)“…We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law…”
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On the central configurations of the planar 1 + 3 body problem
ISSN: 0923-2958, 1572-9478Published: Dordrecht Springer Netherlands 01.01.2011Published in Celestial mechanics and dynamical astronomy (01.01.2011)“…We consider the Newtonian four-body problem in the plane with a dominat mass M . We study the planar central configurations of this problem when the remaining…”
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Numerical Exploration of the Limit Ring Problem
ISSN: 1575-5460, 1662-3592Published: Basel SP Birkhäuser Verlag Basel 01.04.2013Published in Qualitative theory of dynamical systems (01.04.2013)“… The model is a limit case of the planar circular restricted 1 + n body problem, where an infinitesimal particle moves under the gravitational influence of a large central body and n smaller bodies located on the vertices of a regular n -gon…”
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Highly eccentric hip―hop solutions of the 2N―body problem
ISSN: 0167-2789Published: Amsterdam Elsevier 01.02.2010Published in Physica. D (01.02.2010)“… solutions of the uncoupled system in a rotating frame. For small [epsilon (Porson)][not equal to]0, the topological transversality persists and Brouwer's fixed point theorem shows the existence of this kind of solutions in the full system…”
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Coorbital Periodic Orbits in the Three Body Problem
ISSN: 1536-0040, 0036-1399, 1536-0040Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2003Published in SIAM journal on applied dynamical systems (01.01.2003)“…We consider the dynamics of coorbital motion of two small moons about a large planet which have nearly circular orbits with almost equal radii…”
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J2 effect and elliptic inclined periodic orbits in the collision three-body problem
ISSN: 1536-0040, 1536-0040Published: 01.01.2008“…The existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are…”
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Hip-hop solutions of the 2N-body problem
ISSN: 0923-2958Published: 01.09.2006“…Hip–Hop solutions of the 2N–body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar…”
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