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Original scientific paper

Accelerating orbits of twist diffeomorphism on a torus

Siniša Slijepčević

Fulltext: english, pdf (962 KB) pages 49-64 downloads: 199* cite
APA 6th Edition
Slijepčević, S. (1999). Accelerating orbits of twist diffeomorphism on a torus. Glasnik matematički, 34 (1), 49-64. Retrieved from https://hrcak.srce.hr/6402
MLA 8th Edition
Slijepčević, Siniša. "Accelerating orbits of twist diffeomorphism on a torus." Glasnik matematički, vol. 34, no. 1, 1999, pp. 49-64. https://hrcak.srce.hr/6402. Accessed 2 Dec. 2021.
Chicago 17th Edition
Slijepčević, Siniša. "Accelerating orbits of twist diffeomorphism on a torus." Glasnik matematički 34, no. 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), pp. 49-64. Available at: https://hrcak.srce.hr/6402 (Accessed 02 December 2021)
Vancouver
Slijepčević S. Accelerating orbits of twist diffeomorphism on a torus. Glasnik matematički [Internet]. 1999 [cited 2021 December 02];34(1):49-64. Available from: https://hrcak.srce.hr/6402
IEEE
S. Slijepčević, "Accelerating orbits of twist diffeomorphism on a torus", Glasnik matematički, vol.34, no. 1, pp. 49-64, 1999. [Online]. Available: https://hrcak.srce.hr/6402. [Accessed: 02 December 2021]

Abstracts
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.

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

Hrčak ID: 6402

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

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