Shadowing in Linear Skew Products
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2541-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2541-z | ||
| 100 | 1 | |a Tikhomirov |D S. |u Max Plank Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | |
| 245 | 1 | 0 | |a Shadowing in Linear Skew Products |h [Elektronische Daten] |c [S. Tikhomirov] |
| 520 | 3 | |a 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 typical pseudotrajectory of finite length. This result indicates that the high-dimensional analog of the Hammel-Yorke-Grebogi conjecture concerning the interval of shadowability for a typical pseudotrajectory is not correct. The main technique is the reduction of the shadowing problem to the ruin problem for a simple random walk. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 979-987 |x 1072-3374 |q 209:6<979 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2541-z |q text/html |z Onlinezugriff via DOI |
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| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2541-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Tikhomirov |D S. |u Max Plank Institute for Mathematics in the Sciences, Leipzig, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/6(2015-09-01), 979-987 |x 1072-3374 |q 209:6<979 |1 2015 |2 209 |o 10958 | ||