Results 311 to 320 of about 1,506,135 (383)

Periodic Orbits

Celestial Mechanics, 1984
Recent results on periodic orbits are presented. Planetary systems can be studied by the model of the general 3-body problem and also some satellite systems and asteroid orbits can be studied by the model of the restricted 3-body problem. Triple stellar systems and planetary systems with two Suns are close to periodic systems.
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Semiclassical quantization by Padé approximant to periodic orbit sums

, 1999
Periodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade approximant to the periodic orbit sums.
J. Main, P. Dando, D. Belkić, H. Taylor
semanticscholar   +1 more source

Targeting unstable periodic orbits

Physical Review E, 1995
Specific targeting of unstable periodic orbits has been achieved by using large-amplitude perturbations in a dynamical system. The method has been demonstrated experimentally on a ${\mathrm{CO}}_{2}$ laser with modulated losses whose unstable periodic orbits are created either at a period-doubling or at a saddle-node bifurcation.
, Chizhevsky, , Glorieux
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Unstable periodic orbits and prediction

Physical Review A, 1991
A hierarchical approximation of a generic chaotic attractor can be formulated in terms of unstable periodic orbits. We demonstrate the possibility of extracting the most dominant unstable periodic orbits from a measurement of a time-continuous flow. Since unstable periodic orbits not only represent the static properties of the system but also dominate ...
, Pawelzik, , Schuster
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Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits

Astrophysics and Space Science, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Web of Periodic Orbits at L 4

Celestial Mechanics and Dynamical Astronomy, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theoretical design of controlled digitized chaotic systems with periodic orbit of upper limit length in digital circuit

Nonlinear dynamics, 2019
Chuanfu Wang, Q. Ding
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Periodic orbit analysis for the delayed Filippov system

Proceedings of the American Mathematical Society, 2018
Zuowei Cai, Jianhua Huang, Lihong Huang
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Stationkeeping strategy for quasi-periodic orbit around Earth–Moon L2 point

Chinese Control and Decision Conference, 2016
Y. Qian, Yue Liu, W. Zhang, Xiaodong Yang, M. Yao   +4 more
semanticscholar   +1 more source

Periodic Orbits and Accretion Disks

Celestial Mechanics and Dynamical Astronomy, 1997
The motion of a small particle in a binary system where the radiation pressure is not negligible is considered. The photogravitational three-body problem is used as a model of formation of a disc by accretion. The author generalizes the method of \textit{Paczyńsky} [Astrophys. J.
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