An extension of Peixoto's structural stability theorem to open surfaces with finite genus

1983 ◽  
pp. 60-87
Author(s):  
C. Camacho ◽  
M. Krych ◽  
R. Mañe ◽  
Z. Nitecki
Keyword(s):  
Structural Stability ◽  
Stability Theorem ◽  
Finite Genus

scholarly journals Persistence in expansive systems

1983 ◽  
Vol 3 (4) ◽  
pp. 567-578 ◽  
Author(s):  
Jorge Lewowicz
Keyword(s):  
Structural Stability ◽  
Compact Manifold ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
Dynamical Features

AbstractWe give some sufficient conditions for an expansive diffeomorphism ƒ of a compact manifold to be such that every neighbouring diffeomorphism shows, roughly, all the dynamical features of ƒ. These results are then applied to prove a structural stability theorem for pseudo-Anosov maps.

scholarly journals Diffeomorphisms on surfaces with a finite number of moduli

1987 ◽  
Vol 7 (3) ◽  
pp. 415-462 ◽  
Author(s):  
W. de Melo ◽  
S.J. van Strien
Keyword(s):  
Finite Number ◽  
Structural Stability ◽  
Invariant Manifolds ◽  
Stability Theorem ◽  
Two Dimensional ◽  
Transversality Conditions ◽  
Axiom A ◽  
Minimum Number ◽  
Asymptotic Dynamics ◽  
Structurally Stable

AbstractThis paper generalises the well known structural stability theorem which says that a diffeomorphism is structurally stable if it is Axiom A and if all invariant manifolds are transversal to each other.If these transversality conditions are not satisfied then the diffeomorphism not only fails to be stable, but also this gives rise to the appearance of moduli. That is, one needs several real parameters to parameterise all conjugacy classes of nearby diffeomorphisms. (The minimum number of parameters needed is called the number of moduli).Here we deal with diffeomorphisms on two dimensional manifolds, whose asymptotic dynamics are well understood (the class of Axiom A diffeomorphisms). The main result characterises those Axiom A diffeomorphisms which have a finite number of moduli. This result can be regarded as a generalisation of the structural stability theorem. From the proofs it follows that the dynamics of these diffeomorphisms can also be well understood.In the proof of our main theorem we need certain invariant foliations to be quite smooth. In an appendix we prove a differentiable version of the Lambda Lemma.

A Structural Stability Theorem

1971 ◽  
Vol 94 (3) ◽  
pp. 447 ◽  
Author(s):  
J. W. Robbin
Keyword(s):  
Structural Stability ◽  
Stability Theorem

Time-resolved high-resolution electron microscopy of structural stability in mgo clusters

1996 ◽  
Vol 54 ◽  
pp. 672-673
Author(s):  
T. Kizuka ◽  
N. Tanaka
Keyword(s):  
Electron Microscopy ◽  
High Resolution ◽  
Magnesium Oxide ◽  
Structural Stability ◽  
High Resolution Electron Microscopy ◽  
Video Tape ◽  
Solid State Physics ◽  
Time Resolved ◽  
Resolution Electron ◽  
Structural And Functional Properties

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.

STACKING FAULTS, TWINS, AND THE STRUCTURAL STABILITY OF VAN DER WAALS SOLIDS

1974 ◽  
Vol 35 (C7) ◽  
pp. C7-113-C7-119 ◽  
Author(s):  
J. A. VENABLES ◽  
C. A. ENGLISH ◽  
K. F. NIEBEL ◽  
G. J. TATLOCK
Keyword(s):  
Structural Stability ◽  
Van Der Waals ◽  
Stacking Faults

Anisotropy of elastic properties, the degree of ionicity and structural stability of single crystals with lattice type NaCl, CsCl and CaF2

2014 ◽  
Vol 35 (0) ◽  
pp. 8-17
Author(s):  
М. Раранський ◽  
В. Балазюк ◽  
М. Мельник ◽  
О. Горда ◽  
М. Гунько
Keyword(s):  
Single Crystals ◽  
Elastic Properties ◽  
Structural Stability ◽  
Lattice Type
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