Realizing Arbitrary D-Dimensional Dynamics By Renormalization Of Cd-Perturbations Of Identity

• Any Cd conservative map f of the d-dimensional unit ball Bd, d ≥ 2, can be realized by renormalized iteration of a Cd perturbation of identity: there exists a conservative diffeomorphism of Bd, arbitrarily close to identity in the Cd topology, that has a periodic disc on which the return dynamics after a Cd change of coordinates is exactly f. 

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datorteknik (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Engineering (hsv//eng)

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

NATURVETENSKAP  -- Fysik -- Subatomär fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Subatomic Physics (hsv//eng)

Keyword

Anosov-Katok method

Realization by iterations

Renormalization

Publication and Content Type

ref (subject category)

art (subject category)