Lyapunov exponents and linear skew product systems

2014 ◽  
pp. 99-125
Keyword(s):  
Lyapunov Exponents ◽  
Skew Product ◽  
Product Systems

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

The Lyapunov exponents of generic skew-product compact semiflows

2019 ◽  
Vol 19 (2) ◽  
pp. 387-409
Author(s):  
Mário Bessa ◽  
Glória Ferreira Carvalho
Keyword(s):  
Lyapunov Exponents ◽  
Skew Product

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.

CRITICAL STRANGE NONCHAOTIC DYNAMICS IN THE FIBONACCI MAP

2005 ◽  
Vol 15 (04) ◽  
pp. 1493-1501 ◽  
Author(s):  
SANDIP DATTA ◽  
SURENDRA NEGI ◽  
RAMAKRISHNA RAMASWAMY ◽  
ULRIKE FEUDEL
Keyword(s):  
Lyapunov Exponents ◽  
Skew Product ◽  
Strange Nonchaotic Attractors ◽  
Dynamical Mapping ◽  
Special Category

We study a driven quasiperiodic skew-product dynamical mapping in which orbits with all Lyapunov exponents equal to zero lie on fractal attractors. These form a special category of strange nonchaotic attractors (SNAs), and we describe the scenario for their formation as well as methods for their characterization.

Uniform persistence and upper Lyapunov exponents for monotone skew-product semiflows

Nonlinearity ◽  
2013 ◽  
Vol 26 (9) ◽  
pp. 2409-2440 ◽  
Author(s):  
Sylvia Novo ◽  
Rafael Obaya ◽  
Ana M Sanz
Keyword(s):  
Lyapunov Exponents ◽  
Uniform Persistence ◽  
Skew Product

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
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