Timeline for Time-varying perturbations of continuous-time hyperbolic orbits
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 14, 2018 at 9:23 | comment | added | user539887 | No, I do not have any specific results in mind. Perhaps D. Dragičević Admissibility, a general type of Lipschitz shadowing and structural stability? Or (some) papers by L. Barreira and C. Valls? There was a special issue of DCDS-B on Nonautonomous hyperbolicity and related aspects. Unfortunately, the majority of the papers are behind a paywall. | |
| Dec 13, 2018 at 9:03 | comment | added | user85365 | Thank you. Actually, I was thinking of systems that are already embedded in a skew-product, where the base space consists of the possible perturbations $\epsilon(\cdot)$ with the shift flow. Do you have a specific shadowing result in mind that is applicable to continuous-time skew-products? | |
| Dec 12, 2018 at 20:03 | comment | added | user539887 | It seems probable, however that "non-periodic hyperbolic orbit" should be (the projection on the fibers of) an orbit of some skew-product flow, with the base space equal to the (compact) closure of the time-translates of $\epsilon$ in an appropriate topology. | |
| Dec 12, 2018 at 15:31 | history | asked | user85365 | CC BY-SA 4.0 |