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Characterizing Orbital-Reversibility Through Normal Forms

Qualitative Theory of Dynamical Systems, 2021
As 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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Patient-Specific Orbital Implants Vs. Pre-Formed Implants for Internal Orbital Reconstruction

Seminars in Ophthalmology, 2023
To 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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Normal Form Invariants Around Spin-Orbit Periodic Orbits

Celestial Mechanics and Dynamical Astronomy, 2000
The 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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Kinematic Process Plastic Cold Orbital Forming

Applied Mechanics and Materials, 2015
In the paper before you, the authors study the kinematics of the orbital deformation process on the base of the trajectory equation of the mobile element of the machine. Also, the authors show that the trajectory is a closed cycle curve with a finite number of lobes.
Grozav, Sorin Dumitru   +3 more
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GL2(ℂ)-orbits of binary forms

Doklady Mathematics, 2010
In the present paper we study the orbits of action of the group GL2(ℂ) on the space of binary forms. The main result of the paper is the proof of the criterion which divides the GL2(ℂ)-orbits of binary forms.
P. V. Bibikov, V. V. Lychagin
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Canonical Forms and Orbit Spaces of Linear Systems

IMA Journal of Mathematical Control and Information, 1986
Since 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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Perturbational crystal orbital theory in matrix form

Computational and Theoretical Chemistry, 2011
In this paper a formalism, called perturbational crystal orbital theory, is proposed and examined. This formalism is based on a recent formulation of the perturbational molecular orbital theory in matrix form, and could be considered as an extension of it to periodic lattices.
Luis Rincón   +3 more
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