Results 341 to 350 of about 1,473,692 (365)

Periodic Orbits Near Homoclinic Orbits

1982
It is known that the orbit-structure of a dynamical system near a homoclinic orbit γ is extremely complicated. However, it is only recently that this complicated structure has begun to be understood. It has been shown (under some hypotheses) that, near γ there are infinitely many long periodic orbits. The flow, near γ, admits a singular Poincare map o:
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Orbital Period of the Moon

2020
The moon moves in an ellipse around the earth itself moving in space, in the same common direction from west to east, which is characteristic of all known planetary bodies of the solar system, with the exception of the Uranus satellites, and likewise many comets.
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On the periodic orbit bifurcating from one single non-hyperbolic equilibrium in a chaotic jerk system

, 2015
Zhouchao Wei, Wei Zhang, M. Yao
semanticscholar   +1 more source

Determination of periodic orbits

2010
Periodic orbits play a very important role in many problems of Celestial Mechanics; for example, their study provides interesting information on spin-orbit and orbital resonances (see [96, 136]). From the dynamical point of view periodic orbits can be used to approximate quasi-periodic trajectories; more precisely, a truncation of the continued ...
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Variations in the Earth's Orbit: Pacemaker of the Ice Ages

Science, 1976
J. D. Hays, J. Imbrie, N. Shackleton
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A novel method of periodic orbit computation in circular restricted three-body problem

, 2011
Han-qing Zhang, Yanjun Li, Ke Zhang
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Periodic Orbits

Celestial Mechanics, 1984
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The short periodic orbit approach for the quantum cat maps

, 2008
E. Vergini, D. Schneider, A. Rivas
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Periodic Orbits and Stability

1988
A review is presented of periodic orbits which are of interest to Dynamical Astronomy and their relation to actual systems is given. In particular, we review periodic orbits in planetary systems with two or more planets, in the asteroid system, in stellar systems and in the motion of a star in various types of galaxies.
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Rigorous Numerics for Dissipative Partial Differential Equations II. Periodic Orbit for the Kuramoto–Sivashinsky PDE—A Computer-Assisted Proof

Foundations of Computational Mathematics, 2004
P. Zgliczyński
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