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Periodic orbits of period 3 in the disc [PDF]
Let f be an orientation preserving homeomorphism of the disc D2 which possesses a periodic point of period 3. Then either f is isotopic, relative the periodic orbit, to a homeomorphism g which is conjugate to a rotation by 2 pi /3 or 4 pi /3, or f has a ...
B Kolev +16 more
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Periodic Orbits and Warps [PDF]
Orbit calculations were done in a rotating triaxial system with a density distribution in accordance with recent observations of spiral galaxies. A search was made for simple closed orbits which are tilted with respect to the plane of the galaxy. A family of stable prograde tilted orbits was found which can explain warps as stationary phenomena.
W. A. Mulder
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Periodic Orbits in Polygonal Billiards [PDF]
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 Langmuir’s periodic orbit [PDF]
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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The Existence of Periodic Orbits on the Sphere [PDF]
Besides the so-called Seifert conjecture, \textit{H. Seifert} in fact proved in his paper [see Math. Z. 51, 197-216 (1948; Zbl 0030.22103)] the existence of a periodic orbit on \(S^{2n-1}\) for a class of Lagrangian systems with n degrees of freedom, and proposed a problem for the existence of \(n\) periodic orbits on \(S^{2n-1}\) for the same class ...
Kiyoshi Hayashi
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On the continuation of periodic orbits [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Ben Haj Rhouma, Carmen Chicone
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Families of Periodic Delay Orbits
21 pages, 11 ...
Peter Albers +2 more
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Reversible Relative Periodic Orbits [PDF]
The aim of this paper is to extend recently obtained results [\textit{B. Sandstede}, \textit{A. Scheel} and \textit{C. Wulff}, J. Nonlinear Sci. 9, 349--378 (1999; Zbl 0951.35014); \textit{C. Wulff}, \textit{J. S. W. Lamb} and \textit{I. Melbourne}, Ergodic Theory Dyn. Syst.
Lamb, JSW, Wulff, C
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Orbital Magnetization in Periodic Insulators [PDF]
submitted to PRL; signs corrected in Eqs. (11), (12), (19), and (20)
T. THONHAUSER +3 more
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Codimension 3 bifurcation from orbit-flip homoclinic orbit of weak type
This article is devoted to the research of a new codimension 3 homoclinic orbit bifurcation, which is the orbit-flip of weak type. Such kind of homoclinic orbit is a degenerate case of the orbit-flip homoclinic orbit.
Qiuying Lu, Guifeng Deng, Hua Luo
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