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Characterizing Orbital-Reversibility Through Normal Forms
Qualitative Theory of Dynamical Systems, 2021As usual, the local vector fields \(F\) with \(F(0)=0\) are reversible if there is a local diffeomorphism \(\sigma\), satisfying \(\sigma\circ\sigma = Id\), \(\sigma(0)=0\), and turning \(F\) into \(-F\), i.e., \(\sigma_\ast F = -F\). In this paper, \(F\) is called orbitally reversible if \(F\) is reversible by the time representation. Here the authors
A. Algaba +3 more
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New Aspects of Orbital Forming Technology
Key Engineering Materials, 2003Miroslav Greger
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Normal Form Invariants Around Spin-Orbit Periodic Orbits
Celestial Mechanics and Dynamical Astronomy, 2000The authors consider an oblate satellite orbiting a central planet with \(T_{\text{rev}}\) the period of revolution. The satellite rotates about an internal spin axis with rotational period \(T_{\text{rot}}\). A spin-orbit resonance occurs when the ratio \(T_{\text{rev}}/T_{\text{rot}}\) is a rational number.
CELLETTI, ALESSANDRA, Falcolini, C.
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Canonical Forms and Orbit Spaces of Linear Systems
IMA Journal of Mathematical Control and Information, 1986Since globally continuous canonical forms exist only for very special group actions we propose to look instead for canonical forms which yield continuous sections on appropriate cellular decompositions of the orbit space. In this expository paper we present some general results concerning these `cellular' canonical forms for various types of group ...
Helmke, Uwe, Hinrichsen, Diederich
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Representation of orbits in the form of a sum of elementary orbits
Russian Mathematical Surveys, 1994It is proved by elementary methods that the orbits of the Borel and maximal unitriangular subgroups in \(GL (n,k) \times GL (m,k)\), where \(k\) is an arbitrary field, under the actions by \(k^n \otimes k^m\) are represented in the form of the sum of elementary orbits. A similar fact holds true for \(GL (n,k)\) and \(S^2 k^n\) or \(\Lambda^2 k^n\).
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Patient-Specific Orbital Implants Vs. Pre-Formed Implants for Internal Orbital Reconstruction
Seminars in Ophthalmology, 2023To compare the outcome of orbital blowout fracture repair by means of pre-formed porous-polyethylene titanium implants (PFI) vs patient-specific porous-polyethylene implants (PSI).Retrospective cohort study. Baseline characteristics, ophthalmic examination results, ocular motility, fracture type, the timing of surgery, implant type, and final relative ...
Daphna, Landau Prat +6 more
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Orbital forming of an oxygen cylinder web
Journal of Materials Processing Technology, 1997Abstract The technology of orbital cold forming of an oxygen cylinder web, made of austenitic, acid-proof steel, grade 1H18N9T [1,2] is presented. The web is a closure of the oxygen cylinder, which is a part of the oxygen respirator used by miner rescue workers in this country and abroad.
E. Kalinowska-Ozgowicz +5 more
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