48 citations · 178 across the 24 of their papers we have counts for
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math.DS2014
Shadowing in linear skew products
Sergey Tikhomirov
We consider a linear skew product with the full shift in the base and nonzero Lyapunov exponent in the fiber. We provide a sharp estimate for the precision of shadowing for a typic…
math.DS2014
Oriented shadowing property and -stability for vector fields
Shaobo Gan, Ming Li, Sergey B. Tikhomirov
We call that a vector field has the oriented shadowing property if for any there is such that each -pseudo orbit is -oriented shadowed by some…
math.DS2014★ 1 cited
An example of a vector field with the oriented shadowing property
Sergey Tikhomirov
We consider shadowing properties for vector fields corresponding to different type of reparametrisations. We give an example of a vector field which has the oriented shadowing prop…