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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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Unstable periodic orbits and attractor of the barotropic ocean model [PDF]
Nonlinear Processes in Geophysics, 1998 A numerical method for detection of unstable periodic orbits on attractors of nonlinear models is proposed. The method requires similar techniques to data assimilation. This fact facilitates its implementation for geophysical models. ...
E. Kazantsev
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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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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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Periodic Orbits of Quantised Restricted Three-Body Problem
Universe, 2023 In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types.
Elbaz I. Abouelmagd +2 more
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Symbolic Encoding of Periodic Orbits and Chaos in the Rucklidge System
Complexity, 2021 To describe and analyze the unstable periodic orbits of the Rucklidge system, a so-called symbolic encoding method is introduced, which has been proven to be an efficient tool to explore the topological properties concealed in these periodic orbits.
Chengwei Dong +3 more
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Universe, 2023 In this work, the perturbed equations of motion of the infinitesimal body are constructed in the framework of the circular restricted three-body problem when the main two bodies are oblate and radiating.
Bhavika M. Patel +2 more
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Analysis of Resonance Transition Periodic Orbits in the Circular Restricted Three-Body Problem
Applied Sciences, 2022 Resonance transition periodic orbits exist in the chaotic regions where the 1:1 resonance overlaps with nearby interior or exterior resonances in the circular restricted three-body problem (CRTBP).
Shanshan Pan, Xiyun Hou
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Evolution of Periodic Orbits within the Frame of Formation Satellites
Advances in Astronomy, 2020 In the framework of formation satellites, the periodic orbits of deputy satellite are analyzed when the chief satellite is moving in an elliptical orbit. This analysis is developed on 1- to 10-loop periodic orbits of the deputy satellite.
Elbaz I. Abouelmagd +2 more
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