Results 11 to 20 of about 1,426,127 (317)
Periodic orbits in chaotic systems simulated at low precision [PDF]
Scientific Reports, 2023 Non-periodic solutions are an essential property of chaotic dynamical systems. Simulations with deterministic finite-precision numbers, however, always yield orbits that are eventually periodic.
Milan Klöwer +3 more
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Periodic orbits around brane-world black holes
European Physical Journal C: Particles and Fields, 2020 A black hole on a three-brane in five-dimensional spacetime was predicted by Dadhich, Maartens, Papadopoulos and Rezania (DMPR). In order to reveal some signatures for observations, we investigate a timelike particle’s motion around the DMPR brane-world ...
Xue-Mei Deng
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Resonant periodic orbits in the exoplanetary systems
, 2013 The planetary dynamics of 4/3, 3/2, 5/2, 3/1 and 4/1 mean motion resonances is studied by using the model of the general three body problem in a rotating frame and by determining families of periodic orbits for each resonance.
K. Antoniadou, G. Voyatzis
semanticscholar +3 more sources
Monthly Notices of the Royal Astronomical Society, 1902 Edmund Taylor Whittaker
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Symmetric periodic solution around asteroid 216 Kleopatra and its stability in the presence of solar radiation pressure [PDF]
فصلنامه علوم و فناوری فضایی, 2021 In this paper, the dumbbell model is used for gravity field of asteroid 216 Kleopatra. Utilizing the model results in governing equations of motion of a spacecraft around an asteroid similar to those of motion of a spacecraft in the restricted circular ...
Mahdi Jafari Nadoushan, Kosar Aramkhah
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On Langmuir’s periodic orbit [PDF]
Archiv der Mathematik, 2022 Niels Bohr successfully predicted in 1913 the energy levels for the hydrogen atom by applying certain quantization rules to classically obtained periodic orbits. Many physicists tried to apply similar methods to other atoms. In his well-known 1921 paper, I.~Langmuir established numerically the existence of a periodic orbit in the helium atom considered
K. Cieliebak +2 more
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Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits. [PDF]
Physical Review Letters, 2020 We show that turbulent dynamics that arise in simulations of the three-dimensional Navier-Stokes equations in a triply periodic domain under sinusoidal forcing can be described as transient visits to the neighborhoods of unstable time-periodic solutions.
Gökhan Yalnız, B. Hof, N. B. Budanur
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Nonlinear dynamics, 2023 In this study, we investigate complex dynamical behaviors of a delayed-HCO (half-center oscillator) neural system consisting of two inertial neurons. The system proposes two types of periodic orbits having in-phase and anti-phase spatiotemporal patterns ...
Zigen Song, Jian Xu
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Quantum scarring in a spin-boson system: fundamental families of periodic orbits
New Journal of Physics, 2021 As the name indicates, a periodic orbit is a solution for a dynamical system that repeats itself in time. In the regular regime, periodic orbits are stable, while in the chaotic regime, they become unstable.
Saúl Pilatowsky-Cameo +5 more
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Linear flows on compact, semisimple Lie groups: stability and periodic orbits
Electronic Journal of Qualitative Theory of Differential Equations, 2021 Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows.
Simão Stelmastchuk
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