Observational noise in skew product systems

1997 ◽  
Vol 107 (1) ◽  
pp. 43-56 ◽  
Author(s):  
K.M. Campbell
Keyword(s):  
Skew Product ◽  
Product Systems ◽  
Observational Noise

The existence of inertial functions in skew product systems

Nonlinearity ◽  
1996 ◽  
Vol 9 (3) ◽  
pp. 801-817 ◽  
Author(s):  
K M Campbell ◽  
M E Davies
Keyword(s):  
Skew Product ◽  
Product Systems

scholarly journals Random and deterministic perturbation of a class of skew-product systems

1999 ◽  
Vol 14 (2) ◽  
pp. 115-128 ◽  
Author(s):  
David Broomhead ◽  
Demetris Hadjiloucas ◽  
Matthew Nicol
Keyword(s):  
Skew Product ◽  
Product Systems

Topologically transitive skew-products of operators

2009 ◽  
Vol 30 (1) ◽  
pp. 33-49 ◽  
Author(s):  
FRÉDÉRIC BAYART ◽  
GEORGE COSTAKIS ◽  
DEMETRIS HADJILOUCAS
Keyword(s):  
Linear Operators ◽  
Skew Product ◽  
Weighted Shifts ◽  
Linear Dynamics ◽  
Topologically Transitive ◽  
Skew Products ◽  
Product Systems ◽  
Hypercyclic Vectors ◽  
Backward Shift

AbstractThe purpose of the present paper is to provide a link between skew-product systems and linear dynamics. In particular, we give a criterion for skew-products of linear operators to be topologically transitive. This is then applied to certain families of linear operators including scalar multiples of the backward shift, backward unilateral weighted shifts, composition, translation and differentiation operators. We also prove the existence of common hypercyclic vectors for certain families of skew-product systems.

scholarly journals Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems

2017 ◽  
Vol 238 (1) ◽  
pp. 59-89 ◽  
Author(s):  
Alexey Korepanov ◽  
Zemer Kosloff ◽  
Ian Melbourne
Keyword(s):  
Skew Product ◽  
Product Systems

Limit set trichotomy and dichotomy for skew-product semiflows with applications

2009 ◽  
Vol 71 (7-8) ◽  
pp. 2834-2839
Author(s):  
Bin-Guo Wang ◽  
Wan-Tong Li
Keyword(s):  
Limit Set ◽  
Skew Product ◽  
Limit Set Trichotomy

Parabolic invariant tori in quasi-periodically forced skew-product maps

2021 ◽  
Vol 277 ◽  
pp. 234-274
Author(s):  
Xinyu Guan ◽  
Jianguo Si ◽  
Wen Si
Keyword(s):  
Invariant Tori ◽  
Skew Product ◽  
Product Maps
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