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1
Structurally Stable Quadratic Vector Fields
(Bl) p2 is not an uMimit of separatrices, Pi is the uMimit of five separatrices and PI
is not an uMimit of separatrices; (B2) p2 is not an uMimit of separatrices, PI is the
uMimit of four separatrices and p2 is the uMimit of one separatrix; (B3) pi is not ...
Joan C. Artés, Robert E. Kooij, Jaume Llibre, 1998
2
Advances in Applied Mechanics
streamlines which emanate from it – the unstable separatrices. All other
streamlines in a neighborhood come close to the saddle along a stable
separatrix and leave again along an unstable separatrix. Owing to the no-slip
boundary condition, ...
3
Dynamical Systems: Differential Equations, Maps, and Chaotic ...
The stable separatrices of (3.26) and (3.28), however, only become tangential at
the fixed point. which is a simple linear system with a saddle point at the origin (
det (A) < 0). The directions of the separatrices are given by the eigenvectors (1,0)
...
D. Arrowsmith, C.M. Place, 1992
4
Differential Equations: A Dynamical Systems Approach: A ...
For each of the following differential equations (a) (b)c -y x3/2 — x + xy -y x4 4-
4x3 — x2 — 4x + W)/8J (i) Find the zeroes of the system, and by linearizing, tell
what they are. (ii) Make a picture of any saddles with their separatrices and
proper ...
John H. Hubbard, Beverly H. West, 1995
5
Handbook of Mathematical Methods in Imaging: Vol. 1
Separatrices Separatrices are stream lines or stream surfaces which separate
regions of different flow behavior. Here we concentrate on separatrices that
emanate from critical points. Due to the homogeneous flow behavior around
sources ...
If l goes to a tripod then one of the other two separatrices of the tripod goes to J. If
l comes from dD and goes to a tripod then two other separatrices of the tripod go
to J. Proof of proposition. Suppose that l does not go neither to a tripod nor to ...
7
Batch Distillation: Simulation, Optimal Design, and Control, ...
(c) Find the configuration of the separatrices. Solution: The complete residue
curve map for the ethanol-water-cyclohexane system is provided in Figure 7.4
and is derived using the following steps: (a) Finding the equilibria: At equilibrium,
...
8
Qualitative Theory of Planar Differential Systems
9.3.6 The Plot Separatrices Window Function: Allows the user to select the
separatrices one by one. Description: The Plot Separatrices window is opened by
selecting the Plot Separatrices button in the Phase Portrait window or by
selecting a ...
Freddy Dumortier, Jaume Llibre, Joan C. Artés, 2006
9
Index Theory of Elliptic Operators, Foliations, and Operator ...
A crucial concept involved is separatrices and canonical regions, which were
introduced in qualitative theory of ordinary differential equations. Let J be a
foliation of R2. Any two leaves bound a certain region. All such regions form a
basis of ...
Jerome Kaminker, Kenneth C. Millett, Claude Schochet, 1988
10
Transport and Energy Conversion in the Heliosphere: Lectures ...
In (a) the separatrix (thick line) is tangent to the boundary at the point named “O” (
it is a “bald patch”), while in (b) two separatrices intercept at an X point. In both
cases the connectivity of field lines (thin lines) is discontinuous at the
separatrices ...
Jean-Pierre Rozelot, Ludwig Klein, Jean-Claude Vial, 2000
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «SEPARATRICES»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
separatrices w wiadomościach.
NASA spies storm stretching across the Sun
... appear to be connected via a system of magnetic fault zones known as "separatrices". In a paper due to be published in the Journal of Geophysical Research, ... «physicsworld.com, Gru 10»
Erupción global provocó tsunami solar: NASA
... publicaron en la revista Journal of Geophysical Research en el que detectaron que toda la actividad solar estaba conectada por un sistema de separatrices. «El Universal.mx, Lis 06»
Electron acceleration from contracting magnetic islands during …
While some of these energetic electrons are produced as a result of acceleration by parallel electric fields near the magnetic separatrices and subsequent ... «Nature.com, Paz 06»
