Quasi Linear Flows on Tori:�Regularity of their Linearization
Copyright policy )Quasi Linear Flows on Tori:�Regularity of their Linearization
Under suitable conditions a flow on a torus $C^{(p)}$--close, with $p$ large enough, to a quasi periodic diophantine rotation is shown to be conjugated to the quasi periodic rotation by a map that is analytic in the perturbation size. This result is parallel to Moser's theorem stating conjugability in class $C^{(p')}$ for some $p'
27 pages
- Roma Tre University Italy
- IHS
- Sapienza University of Rome Italy
- IHS
- Institut des Hautes Études Scientifiques France
Orbit growth in dynamical systems, quasi periodic rotation, Smooth dynamical systems: general theory, FOS: Physical sciences, conjugacy, Nonlinear Sciences - Chaotic Dynamics, Differentiable KAM; Linstedt Series; Quasiperiodic motions; ANALYTICITY OF INVARIANT TORI, Hamiltonian, perturbations, quasi periodic diophantine rotation, flow, Chaotic Dynamics (nlin.CD)
Orbit growth in dynamical systems, quasi periodic rotation, Smooth dynamical systems: general theory, FOS: Physical sciences, conjugacy, Nonlinear Sciences - Chaotic Dynamics, Differentiable KAM; Linstedt Series; Quasiperiodic motions; ANALYTICITY OF INVARIANT TORI, Hamiltonian, perturbations, quasi periodic diophantine rotation, flow, Chaotic Dynamics (nlin.CD)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!