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Accelerating orbits of twist diffeomorphism on a torus

Siniša Slijepčević

Puni tekst: engleski, pdf (962 KB) str. 49-64 preuzimanja: 199* citiraj
APA 6th Edition
Slijepčević, S. (1999). Accelerating orbits of twist diffeomorphism on a torus. Glasnik matematički, 34 (1), 49-64. Preuzeto s https://hrcak.srce.hr/6402
MLA 8th Edition
Slijepčević, Siniša. "Accelerating orbits of twist diffeomorphism on a torus." Glasnik matematički, vol. 34, br. 1, 1999, str. 49-64. https://hrcak.srce.hr/6402. Citirano 06.12.2021.
Chicago 17th Edition
Slijepčević, Siniša. "Accelerating orbits of twist diffeomorphism on a torus." Glasnik matematički 34, br. 1 (1999): 49-64. https://hrcak.srce.hr/6402
Harvard
Slijepčević, S. (1999). 'Accelerating orbits of twist diffeomorphism on a torus', Glasnik matematički, 34(1), str. 49-64. Preuzeto s: https://hrcak.srce.hr/6402 (Datum pristupa: 06.12.2021.)
Vancouver
Slijepčević S. Accelerating orbits of twist diffeomorphism on a torus. Glasnik matematički [Internet]. 1999 [pristupljeno 06.12.2021.];34(1):49-64. Dostupno na: https://hrcak.srce.hr/6402
IEEE
S. Slijepčević, "Accelerating orbits of twist diffeomorphism on a torus", Glasnik matematički, vol.34, br. 1, str. 49-64, 1999. [Online]. Dostupno na: https://hrcak.srce.hr/6402. [Citirano: 06.12.2021.]

Sažetak
Given an area-preserving twist diffeomorphism on 2D torus, we prove existence of orbits asymptotic to arbitrary periodic or quasiperiodic Aubry-Mather minimising set and with arbitrary shear rotation number from the shear rotation interval; and orbits whose ends have two arbitrary shear rotation numbers from the shear rotation interval. As a corollary, we construct infinitely many ergodic measures with positive metric entropy supported on the set of accelerating orbits, and therefore mutually singular with the invariant measure contructed by J.N. Mather and G. Forni.

Ključne riječi
Area-preserving; twist diffeomorphism; connecting orbits; Frenkel-Kontorova model; topological entropy; metric entropy

Hrčak ID: 6402

URI
https://hrcak.srce.hr/6402

Posjeta: 409 *