Results 1 to 10 of about 1,506,135 (383)
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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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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Chains of rotational tori and filamentary structures close to high multiplicity periodic orbits in a 3D galactic potential [PDF]
, 2011 This paper discusses phase space structures encountered in the neighborhood of periodic orbits with high order multiplicity in a 3D autonomous Hamiltonian system with a potential of galactic type. We consider 4D spaces of section and we use the method of
A. D. PINOTSIS +3 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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Periodic Orbits in Polygonal Billiards [PDF]
Pramana, 1996 We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they obey. In addition, we provide algorithms to determine periodic orbit families and present numerical results that shed new light on ...
A Selberg +19 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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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
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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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PERIODIC ORBIT FAMILIES IN THE GRAVITATIONAL FIELD OF IRREGULAR-SHAPED BODIES [PDF]
, 2016 The discovery of binary and triple asteroids in addition to the execution of space missions to minor celestial bodies in the past several years have focused increasing attention on periodic orbits around irregular-shaped celestial bodies.
Yu Jiang, H. Baoyin
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On the global dynamics of periodic triangular maps [PDF]
, 2016 This paper is an extension of an earlier paper that dealt with global dynamics in autonomous triangular maps. In the current paper, we extend the results on global dynamics of autonomous triangular maps to periodic non-autonomous triangular maps. We show
Luis, Rafael
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