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pro vyhledávání: '"Perline, Ron"'
Autor:
Perline, Ron, Tabachnikov, Sergei
In analogy with the well-known 2-linkage tractor-trailer problem, we define a 2-linkage problem in the plane with novel non-holonomic ``no-slip'' conditions. Using constructs from sub-Riemannian geometry, we look for geodesics corresponding to linkag
Externí odkaz:
http://arxiv.org/abs/2307.13839
We study a simple model of bicycle motion: a segment of fixed length in multi-dimensional Euclidean space, moving so that the velocity of the rear end is always aligned with the segment. If the front track is prescribed, the trajectory of the rear wh
Externí odkaz:
http://arxiv.org/abs/1705.06314
Autor:
Perline, Ron
We describe a method of constructing Weingarten systems of triply orthogonal coordinates, related to the localized induction equation hierarchy of integrable geometric evolution equations
Comment: AMSTeX file (10 pages) with one Postscript graph
Comment: AMSTeX file (10 pages) with one Postscript graph
Externí odkaz:
http://arxiv.org/abs/solv-int/9601006
Autor:
Perline, Ron
We describe a close connection between the localized induction equation hierarchy of integrable evolution equations on space curves, and surfaces of constant negative Gauss curvature.
Comment: 21 pages, AMSTeX file. To appear in Journal of Physi
Comment: 21 pages, AMSTeX file. To appear in Journal of Physi
Externí odkaz:
http://arxiv.org/abs/solv-int/9406001
Autor:
Langer, Joel, Perline, Ron
The three equations named in the title are examples of infinite-dimensional completely integrable Hamiltonian systems, and are related to each other via simple geometric constructions. In this paper, these interrelationships are further explained in
Externí odkaz:
http://arxiv.org/abs/solv-int/9404001
Autor:
Langer, Joel, Perline, Ron
The planar filament equation and its relation to the modified Korteweg-deVries equation are studied in the context of Poisson geometry. The structure of the planar filament equation is shown to be similar to that of the 3-D localized induction equati
Externí odkaz:
http://arxiv.org/abs/solv-int/9403001
Autor:
Langer, Joel, Perline, Ron
The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families of integrable evolution equations which preserve local geometric invari
Externí odkaz:
http://arxiv.org/abs/solv-int/9401001
Autor:
Perline, Ron
Publikováno v:
The American Mathematical Monthly, 1996 May 01. 103(5), 377-385.
Externí odkaz:
https://www.jstor.org/stable/2974926
Akademický článek
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Autor:
Perline, Ron1 ronald.k.perline@drexel.edu
Publikováno v:
Journal of Nonlinear Science. Apr2019, Vol. 29 Issue 2, p621-642. 22p.