Author(s):  
П.А. ФАЙМАН ◽  
М.В. БУДЯНСКИЙ ◽  
М.Ю. УЛЕЙСКИЙ ◽  
С.В. ПРАНЦ ◽  
В.Л. ВЫСОЦКИЙ ◽  
...  

Представлены результаты лагранжевого моделирования распространения радиоактивного загрязнения в Уссурийском заливе на различных горизонтах по глубине на основе численной региональной модели циркуляции ROMS с использованием эмпирических данных выпадения радиоактивных осадков из атмосферы на поверхность акватории в день аварии на атомной подводной лодке в бухте Чажма 10 августа 1985 г. Показано, что радиоактивное пятно могло оставаться в Уссурийском заливе в течение первых четырех суток после аварии. Установлено, что эволюция и деформация начального пятна загрязнения на разных горизонтах обусловлены влиянием вихрей разных полярностей и размеров (мезомасштабный циклон в центре залива, субмезомасштабный антициклон на севере и мезомасштабный антициклон на юге) и лагранжевых когерентных структур, связанных с гиперболическими точками в заливе. The results of Lagrangian modeling of the transport of radioactive pollution in the Ussuri Gulf at various depths based on a regional ROMS numerical model of circulation using the empirical data on the radioactive fallout from the atmosphere at the sea surface on the day of the accident at a nuclear submarine in the Chazhma Bay in August 10, 1985. It was shown that the radioactive particles remain in the Ussuri Gulf for the first 4 days after the accident. It has been shown that the evolution and deformation of the initial pollution patch on various horizons was influenced by vortices of different polarity and size in the Ussuri Gulf (a mesoscale cyclone in the center of the Gulf, a sub-mesoscale anticyclone in the north and a mesoscale anticyclone in the south) and by Lagrangian coherent structures connected with hyperbolic points in the Gulf.


Soft Matter ◽  
2017 ◽  
Vol 13 (38) ◽  
pp. 6792-6802 ◽  
Author(s):  
André M. Sonnet ◽  
Epifanio G. Virga

At hyperbolic points, where the Gaussian curvature is negative, nematic shells with unequal elastic constants can exhibit two preferred alignments.


1993 ◽  
Vol 03 (02) ◽  
pp. 361-374 ◽  
Author(s):  
V. N. BELYKH ◽  
L. O. CHUA

We present a new type of strange attractors generated by an odd-symmetric three-dimensional vector field with a saddle-focus having two homoclinic orbits at the origin. This type of attractor is intimately related to the double-scroll Chua's attractor. We present the mathematical properties which proved rigorously the chaotic nature of this strange attractor to be different from that of a Lorenz-type attractor or a quasi-attractor. In particular, we proved that for certain nonempty intervals of parameters, our two-dimensional map has a strange attractor with no stable orbits. Unlike other known attractors, this strange attractor contains not only a Cantor set structure of hyperbolic points typical of horseshoe maps, but also there exist unstable points (i.e. stable in reverse time) belonging to the attractor as well. This implies that the points from the stable manifolds of the hyperbolic points must necessarily attract the unstable points.


2015 ◽  
Vol 36 (7) ◽  
pp. 2015-2043 ◽  
Author(s):  
JOSÉ F. ALVES ◽  
RENAUD LEPLAIDEUR

We consider a diffeomorphism $f$ of a compact manifold $M$ which is almost Axiom A, i.e. $f$ is hyperbolic in a neighborhood of some compact $f$-invariant set, except in some singular set of neutral points. We prove that if there exists some $f$-invariant set of hyperbolic points with positive unstable Lebesgue measure such that for every point in this set the stable and unstable leaves are ‘long enough’, then $f$ admits an SRB (probability) measure.


1979 ◽  
Vol 22 (3) ◽  
pp. 351-355
Author(s):  
Tibor Bisztriczky

A surface of order three F in the real projective three-space P3 is met by every line, not in F, in at most three points.In the present paper, we determine the existence and examine the distribution of elliptic, parabolic and hyperbolic points; that is, the differentiable points of F which do not lie on any line contained in F.


Automatica ◽  
2019 ◽  
Vol 99 ◽  
pp. 13-21
Author(s):  
Hildeberto Jardón-Kojakhmetov ◽  
Jacquelien M.A. Scherpen ◽  
Dunstano del Puerto-Flores

1992 ◽  
Vol 02 (03) ◽  
pp. 697-704 ◽  
Author(s):  
V. N. BELYKH ◽  
L. O. CHUA

We present a new type of strange attractors generated by an odd-symmetric three-dimensional vector field with a saddle-focus having two homoclinic orbits at the origin. This type of attractors is intimately related to the double scroll. We present the mathematical properties which prove rigorously the chaotic nature of this strange attractor to be different from that of a Lorenz-type attractor or a quasiattractor. In particular, we proved that for certain nonempty intervals of parameters, our two-dimensional map has a strange attractor with no stable orbits. Unlike other known attractors, this strange attractor contains not only a Cantor set structure of hyperbolic points typical of horseshoe maps, but also unstable points (i.e., stable in reverse time). This implies that the points from the stable manifolds of the hyperbolic points must necessarily attract the unstable points.


Sign in / Sign up

Export Citation Format

Share Document