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On the noise-induced passage through an unstable periodic orbit II: General case [PDF]
SIAM Journal on Mathematical Analysis, 2013 Consider a dynamical system given by a planar differential equation, which exhibits an unstable periodic orbit surrounding a stable periodic orbit. It is known that under random perturbations, the distribution of locations where the system's first exit ...
Barbara Gentz +9 more
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Convergence time towards periodic orbits in discrete dynamical systems. [PDF]
PLoS ONE, 2014 We investigate the convergence towards periodic orbits in discrete dynamical systems. We examine the probability that a randomly chosen point converges to a particular neighborhood of a periodic orbit in a fixed number of iterations, and we use ...
Jesús San Martín, Mason A Porter
doaj +4 more sources
On Langmuir's periodic orbit [PDF]
Archiv der Mathematik, 2021 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
Kai Cieliebak +2 more
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Decimation and Harmonic Inversion of Periodic Orbit Signals [PDF]
, 1999 We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions.
Berry M V +21 more
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On the noise-induced passage through an unstable periodic orbit I: Two-level model [PDF]
, 2003 We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit.
Berglund, Nils, Gentz, Barbara
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Use of Harmonic Inversion Techniques in the Periodic Orbit Quantization of Integrable Systems
, 2000 Harmonic inversion has already been proven to be a powerful tool for the analysis of quantum spectra and the periodic orbit orbit quantization of chaotic systems. The harmonic inversion technique circumvents the convergence problems of the periodic orbit
Main, J., Weibert, K., Wunner, G.
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Convergence of a periodic orbit family close to asteroids during a continuation
Results in Physics, 2020 In this work, we study the continuation of a periodic orbit on a relatively large scale and discover the existence of convergence under certain conditions, which has profound significance in research on asteroids and can provide a total geometric ...
Haokun Kang, Yu Jiang, Hengnian Li
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Precessing and periodic orbits around hairy black holes in Horndeski’s Theory
The European Physical Journal C, 2023 We investigate the dynamics of neutral timelike particles around a hairy black hole in Horndeski’s theory, which is characterized by a coupling parameter with the dimension of length.
Hou-Yu Lin, X. Deng
semanticscholar +1 more source
Remote Sensing, 2021 A hybrid ECOM (Empirical CODE Orbit Model) solar radiation pressure (SRP) model, which is termed ECOMC in this work, is proposed for global navigation satellite system (GNSS) orbit modeling.
Tzu-Pang Tseng
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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
semanticscholar +1 more source