Results 11 to 20 of about 1,034 (248)
Stability of General Newton Functional Equations for Logarithmic Spirals
Advances in Difference Equations, 2008 We investigate the generalized Hyers-Ulam stability of Newton functional equations for logarithmic spirals.
John Michael Rassias, Soon-Mo Jung
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Golden Spirals and Scalp Whorls: Nature's Own Design for Rapid Expansion. [PDF]
PLoS ONE, 2016 This paper documents what began as an exercise in curiosity-logarithmic spiral designs abound in nature-in galaxies, flowers, even pinecones, and on human scalps as whorls. Why are humans the only primates to have whorls on the scalp? Is the formation of
Sharad P Paul
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Spiral Lambert's problem with generalized logarithmic spirals
, 2016 Lambert?s problem subject to a continuous acceleration is solved using the family of generalized logarithmic spirals. Thanks to the existence of two first integrals related to the energy and angular momentum surprising analogies with the Keplerian case are found. A minimum-energy spiral transfer exists.
Roa Vicens, Javier +1 more
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Logarithmic Spirals and Right-angled Triangles
, 2020 This article presents some recurrent functions which we can use to make Right-angledTriangles and through their special arrangement we can obtain logarithmic spirals,and their discrete form. The recurrent functions are obtained through recurrencerelations which can be expressed as a linear combination of fibonacci numbers.
Rahul Gohil
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The logarithmic spiral, autoisoptic curve
, 2010 In the Line of Investigation that in the department of “Technical Drawing” in the School of Agriculture Engineering of Madrid, we carry out on the study of The Technical Curves and his singularities, we demonstrate an interesting property of the Logarithmic Spiral.
Puerta Romero, Francisco +4 more
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Three-dimensional generalized logarithmic spirals
, 2016 The family of generalized logarithmic spirals including a control parameter is extended to the three-dimensional case. The in-plane motion is decoupled from the out-of-plane motion in such a way that the integrals of motion found in the planar problem are still preserved in the three-dimensional case. Designing a low-thrust orbit transfer decomposes in
Roa Vicens, Javier +1 more
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A geometric approach to inelastic collapse
Journal of Computational Geometry, 2022 We show in this note how to interpret logarithmic spiral tilings as one-dimensional particle systems undergoing inelastic collapse. By deforming the spirals appropriately, we can simulate collisions among particles with distinct or varying coefficients ...
Yufei Zheng +2 more
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The Logarithmic Spiral Neutron Guide [PDF]
Instruments, 2020 We present a neutron guide which is curved in the shape of a logarithmic spiral. Simulations and calculations for such a spiral guide are presented and the potential use of the guide for a reflectometer is investigated and compared to the conventional circularly curved guide geometry. We concentrate on the specific case of a beamport at the SINQ source.
Christine Klauser, Jochen Stahn
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A Logarithmic-Amplitude Polar Diagram [PDF]
Modeling, Identification and Control, 2001 A polar diagram where the amplitude of the transfer function is on a logarithmic scale, is presented. This gives a one-size-fits-all diagram with no need for zooming in and out, and no need for additional reasoning about infinite-radius encirclements ...
Trond Andresen
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The Elliptic Logarithmic Spiral [PDF]
Nature, 1922 I AM much obliged to Mr. Wright for his correction (NATURE, July 8, p. 40). I had made a search in English and Continental books on curves and concluded that this spiral had been overlooked as a curve. But it appears to have been recognised in connexion with the spherical pendulum. Prof. Lamb in his “Dynamics,” p.
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