Quasi linear flows on tori: regularity of their linearization
نویسندگان
چکیده
Abstract. Under suitable conditions a flow on a torus C–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 ) for some p < p. The extra conditions restrict the class of perturbations that are allowed.
منابع مشابه
On the Computation of Reducible Invariant Tori on a Parallel Computer
We present an algorithm for the computation of reducible invariant tori of discrete dynamical systems that is suitable for tori of dimensions larger than 1. It is based on a quadratically convergent scheme that approximates, at the same time, the Fourier series of the torus, its Floquet transformation, and its Floquet matrix. The Floquet matrix describes the linearization of the dynamics around...
متن کاملA Paired Quasi-linearization on Magnetohydrodynamic Flow and Heat Transfer of Casson Nanofluid with Hall Effects
Present study explores the effect of Hall current, non-linear radiation, irregular heat source/sink on magnetohydrodynamic flow of Casson nanofluid past a nonlinear stretching sheet. Viscous and Joule dissipation are incorporated in the energy equation. An accurate numerical solution of highly nonlinear partial differential equations, describing the flow, heat and mass transfer...
متن کاملOn the computation of reducible invariant tori in a parallel computer
We present an algorithm for the computation of reducible quasi-periodic solutions of discrete dynamical systems. The method is based on a quadratically convergent scheme that approximates, at the same time, the Fourier series of the torus, its Floquet transformation and its Floquet matrix. The Floquet matrix describes the linearization of the dynamics around the torus and, hence, its linear sta...
متن کاملar X iv : m at h / 99 06 16 4 v 1 [ m at h . D S ] 2 4 Ju n 19 99 LINEAR FLOWS ON κ - SOLENOIDS
Linear flows on inverse limits of tori are defined and it is shown that two linear flows on an inverse limit of tori are equivalent if and only if there is an automorphism of the inverse limit generating the equivalence.
متن کاملNewton’s and Linearization Methods for Quasi-variational Inequlities
We study Newton’s method and method based on linearization for solving quasi-variational inequalities in a finite-dimensional real vector space. Projection methods were the most studied methods for solving quasi-variational inequalities and they have linear rates of the convergence. In the paper we establish sufficient conditions for the convergence of Newton’s method and method of linearizatio...
متن کامل