Results 1 to 10 of about 103 (90)
Modeling of voltaic pile surface formation using current-carrying cassini ovals
Engineering Science and Technology, an International Journal, 2019 In this paper, the possibility of increasing the surface of an electric discharge in ignition devices of a working mixture of internal combustion engines is analyzed.
Igor Korobiichuk
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Approximation of Generalized Ovals and Lemniscates towards Geometric Modeling
Mathematics, 2021 This paper considers an approach towards the building of new classes of symmetric closed curves with two or more focal points, which can be obtained by generalizing classical definitions of the ellipse, Cassini, and Cayley ovals.
Inna Vasileva
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Cassini Ovals in Dynamic Geometry of Polynomials [PDF]
Universal Journal of Applied Mathematics, 2015 In this paper, we investigate the behavior of critical points of some polynomials whose roots are the vertices of some parallelogram, in case of rotation two of them on a given circle. In this case, the trajectory is the Cassini ovals.
Gagik Aghekyan, Karen Sahakyan
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Cassini Ovals in Harmonic Motion Orbits
Journal of Geometry and Symmetry in Physics, 2018 The title problem is addressed where the authors consider the planar motion of an harmonic oscillator where the vibration point moves on ellipses known as ``Cassini ovals''. (A Cassini oval is the locus of all points whose distances from two fixed points have a constant product.) The form of these ovals depend solely on the initial velocities.
Boyadzhiev, Khristo N. +1 more
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On a fine localization of the Mathieu azimuthal numbers by Cassini ovals
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The study is devoted to numerical and analytical problems concerning generating periodic and antiperiodic solutions of the angular (circumferential) Mathieu equation obtained for the circumferential harmonics of an elliptic cylinder.
Yuri Nikolaevich Radayev +1 more
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Applications of the Symmetrical Structures of Cassini Ovals
SymmetryOne of the geometric figures that has symmetry properties is the Cassini oval. The Cassini oval is a curve defined as the locus of points in the plane such that the product of the distances to two fixed points is constant. Cassini ovals are named after the astronomer Giovanni Domenico Cassini, who studied them in 1680.
Peter Grabusts
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Three Dimensional Volume Coverage in Multistatic Sonar Sensor Networks
IEEE Access, 2022 Recent changes in the design of enemy threats such as submarines and the technological achievements in sensor development have paved the way for multistatic sonar applications, which increase security and situational awareness in underwater tactical ...
Alper Avcioglu +2 more
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RIEMANN BOUNDARY-VALUE PROBLEM ON CASSINI SPIRALS
Проблемы анализа, 2021 Recently, a number of papers has been published concerning the Riemann boundary-value problems on spiral-like arcs. In all these works, the spiral has the shape close to concentric circles, i. e., with equal rates of torsion in all directions.
L. Zhixin, B. A. Kats
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Fission of super-heavy nuclei: Fragment mass distributions and their dependence on excitation energy
Eurasian Journal of Physics and Functional Materials, 2021 The mass and total kinetic energy distributions of the fission fragments in the fission of even-even isotopes of superheavy elements from Hs (Z=108) to Og (Z=118) are estimated using a pre-scission point model.
N. .. Carjan +2 more
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The turbulent dynamics of Jupiter’s and Saturn’s weather layers: order out of chaos?
Geoscience Letters, 2020 The weather layers of the gas giant planets, Jupiter and Saturn, comprise the shallow atmospheric layers that are influenced energetically by a combination of incoming solar radiation and localised latent heating of condensates, as well as by upwelling ...
Peter L. Read +2 more
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