Minimal orbits close to periodic frequencies | Zendy

Ugo Bessi | Zendy; V. Semijopuva | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Minimal orbits close to periodic frequencies

Author(s) -

Ugo Bessi,

V. Semijopuva

Publication year - 1998

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050067

Subject(s) - mathematics , periodic orbits , action (physics) , norm (philosophy) , mathematical analysis , space (punctuation) , diffusion , combinatorics , mathematical physics , physics , quantum mechanics , linguistics , philosophy , political science , law

. Let with h analytic of small norm. The problem of Arnold's diffusion consists in finding conditions on h which guarantee the existence of orbits Q of with connecting two arbitrary points of frequency space. Recently, J. N. Mather has found a sufficient condition for Arnold's diffusion; this condition is not read on h itself, but on the set of all action-minimizing orbits of . In this paper we try to characterize those action-minimizing orbits whose mean frequency is close to periodic.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research