Results 71 to 80 of about 166,810 (242)
, 2011 We extend our previous analytic existence of a symmetric periodic simultaneous binary collision orbit in a regularized fully symmetric equal mass four-body problem to the analytic existence of a symmetric periodic simultaneous binary collision orbit in a
A. Chenciner +30 more
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Construction of Orbits Asymptotic to a Periodic Orbit
The Astronomical Journal, 1969 Abstract : In the immediate neighborhood of an unstable periodic orbit, the families of orbits asymptotic to it may be expanded in power series of an orbital parameter, the coefficients being successive variations of increasing order from the generating orbit.
Jacques Henrard, André Deprit
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Estimation of the number of periodic orbits [PDF]
Pacific Journal of Mathematics, 1996 The author is concerned with estimating the asymptotic growth rate of the Nielsen numbers \(N(f^n)\) for a map \(f : X \to X\) of a compact connected polyhedron. Pick a point \(v \in X\) and a path \(w\) from \(v\) to \(f(v)\). Denote \(G : = \pi_1 (X,w)\) and let \(f_G : = w_* f_* : G \to G\).
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Periodic orbits in the logarithmic potential [PDF]
Astronomy & Astrophysics, 2008 Analytic methods to investigate periodic orbits in galactic potentials. To evaluate the quality of the approximation of periodic orbits in the logarithmic potential constructed using perturbation theory based on Hamiltonian normal forms. The solutions of the equations of motion corresponding to periodic orbits are obtained as series expansions computed
PUCACCO, GIUSEPPE +2 more
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Orbit Determination Error Analysis for the KOMPSAT [PDF]
Journal of Astronomy and Space Sciences, 1998 Orbit error analysis was performed for the GPS navigation solutions and ground station tracking data of the KOMPSAT (Korea Multi-Purpose SATellite), which will be launched in 1999 for cartography of Korean peninsula as main mission. A least square method
Jeong-Sook Lee, Byoung-Sun Lee
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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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A model for aperiodicity in earthquakes [PDF]
Nonlinear Processes in Geophysics, 2008 Conditions under which a single oscillator model coupled with Dieterich-Ruina's rate and state dependent friction exhibits chaotic dynamics is studied. Properties of spring-block models are discussed.
B. Erickson, B. Birnir, D. Lavallée
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Non-contractible periodic orbits in Hamiltonian dynamics on tori
, 2017 We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple non-contractible periodic orbits.Comment: 10 pages, minor revision ...
Orita, Ryuma
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The semiclassical relation between open trajectories and periodic orbits for the Wigner time delay
, 2007 The Wigner time delay of a classically chaotic quantum system can be expressed semiclassically either in terms of pairs of scattering trajectories that enter and leave the system or in terms of the periodic orbits trapped inside the system.
Kuipers, Jack, Sieber, Martin
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