Geometric properties of resistive nonlinear n-ports: Transversality, structural stability, reciprocity, and anti-reciprocity

1980 ◽  
Vol 27 (7) ◽  
pp. 577-603 ◽  
Author(s):  
L. Chua ◽  
T. Matsumoto ◽  
S. Ichiraku
2021 ◽  
pp. 1-57
Author(s):  
Alberto Abbondandolo ◽  
Pietro Majer

We prove that a Morse–Smale gradient-like flow on a closed manifold has a “system of compatible invariant stable foliations” that is analogous to the object introduced by Palis and Smale in their proof of the structural stability of Morse–Smale diffeomorphisms and flows, but with finer regularity and geometric properties. We show how these invariant foliations can be used in order to give a self-contained proof of the well-known but quite delicate theorem stating that the unstable manifolds of a Morse–Smale gradient-like flow on a closed manifold [Formula: see text] are the open cells of a CW-decomposition of [Formula: see text].


Author(s):  
T. Kizuka ◽  
N. Tanaka

Structure and stability of atomic clusters have been studied by time-resolved high-resolution electron microscopy (TRHREM). Typical examples are observations of structural fluctuation in gold (Au) clusters supported on silicon oxide films, graphtized carbon films and magnesium oxide (MgO) films. All the observations have been performed on the clusters consisted of single metal element. Structural stability of ceramics clusters, such as metal-oxide, metal-nitride and metal-carbide clusters, has not been observed by TRHREM although the clusters show anomalous structural and functional properties concerning to solid state physics and materials science.In the present study, the behavior of ceramic, magnesium oxide (MgO) clusters is for the first time observed by TRHREM at 1/60 s time resolution and at atomic resolution down to 0.2 nm.MgO and gold were subsequently deposited on sodium chloride (001) substrates. The specimens, single crystalline MgO films on which Au particles were dispersed were separated in distilled water and observed by using a 200-kV high-resolution electron microscope (JEOL, JEM2010) equipped with a high sensitive TV camera and a video tape recorder system.


1974 ◽  
Vol 35 (C7) ◽  
pp. C7-113-C7-119 ◽  
Author(s):  
J. A. VENABLES ◽  
C. A. ENGLISH ◽  
K. F. NIEBEL ◽  
G. J. TATLOCK

Author(s):  
М. Раранський ◽  
В. Балазюк ◽  
М. Мельник ◽  
О. Горда ◽  
М. Гунько

1996 ◽  
Author(s):  
Kuang-Hua Chang ◽  
Xiaoming Yu ◽  
Kyung Choi

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