scholarly journals The orbital equivalence of Bernoulli actions and their Sinai factors

2021 ◽  
Vol 17 (0) ◽  
pp. 145
Author(s):  
Zemer Kosloff ◽  
Terry Soo
Keyword(s):  
Orbital Equivalence

scholarly journals Orbital Equivalence of Terrestrial Radiation Tolerance Experiments

2020 ◽  
Vol 67 (11) ◽  
pp. 2382-2391
Author(s):  
Julie V. Logan ◽  
Michael P. Short ◽  
Preston T. Webster ◽  
Christian P. Morath
Keyword(s):  
Radiation Tolerance ◽  
Orbital Equivalence

Topologically Versal Deformations of Matrices; Codimension at most Two

1981 ◽  
Vol 33 (1) ◽  
pp. 168-180
Author(s):  
D. W. Bass
Keyword(s):  
Normal Form ◽  
Small Perturbation ◽  
Topological Conjugacy ◽  
Original Matrix ◽  
Linear Dynamical Systems ◽  
The Matrix ◽  
Topological Version ◽  
Orbital Equivalence ◽  
Versal Deformations

1. Introduction. The reduction of a matrix to its Jordan normal form is an unstable operation in that both the normal form itself and the reducing mapping depend discontinuously on the elements of the original matrix. For example, the matrix trivially reduces to itself in Jordan form, but there are arbitrarily small perturbations of this matrix that reduce to the form which is certainly not a small perturbation of the original matrix, and moreover the reducing mapping is not a small perturbation of the identity. In [1], Arnol'd derives the simplest possible normal forms to which families of matrices may be linearly reduced in a ‘stable’ manner. In this paper, we consider a ‘topological' version of the problem, using the classification of matrices up to topological conjugacy given in [8] and the classification of linear dynamical systems up to orbital equivalence given in [9].

On almost orbital equivalence of nonlinear systems

2009 ◽  
Author(s):  
Masato Ishikawa ◽  
Teruya Yamaguchi ◽  
Toshiharu Sugie
Keyword(s):  
Nonlinear Systems ◽  
Orbital Equivalence

scholarly journals On Almost Orbital Equivalence of Nonlinear Systems

2010 ◽  
Vol 3 (4) ◽  
pp. 272-278 ◽  
Author(s):  
Masato ISHIKAWA ◽  
Teruya YAMAGUCHI ◽  
Toshiharu SUGIE
Keyword(s):  
Nonlinear Systems ◽  
Orbital Equivalence
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