PERTURBATIONS OF VECTOR FIELDS ON TORI: RESONANT NORMAL FORMS AND DIOPHANTINE PHENOMENA

DOI10.1017/S001309150000064XzbMath1032.37010OpenAlexW1977055030MaRDI QIDQ4787820

Detta Dickinson, Masafumi Yoshino, Todor Gramchev

Publication date: 17 March 2004

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150000064x

zbMATH Keywords

simultaneous resonances global hypoellipticity diophantine conditions vector fields on tori resonant normal forms generalized Hausdorff dimension

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Pseudodifferential and Fourier integral operators on manifolds (58J40) Simultaneous homogeneous approximation, linear forms (11J13) Inhomogeneous linear forms (11J20)

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