Herman's Approach to Quasi-Periodic Perturbations in the Reversible KAM Context 2

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Equilibrium Quasi-periodic Configurations with Resonant Frequencies in Quasi-periodic Media Ii: Kam Theory

We develop an a-posteriori KAM theory for the equilibrium equations for quasi-periodic solutions in a quasi-periodic Frenkel-Kontorova model when the frequency of the solutions resonates with the frequencies of the substratum. The KAM theory we develop is very different both in the methods and in the conclusions from the more customary KAM theory for Hamiltonian systems or from the KAM theory i...

متن کامل

The Quasi-Periodic Reversible Hopf bifurcation

We consider the perturbed quasi-periodic dynamics of a family of reversible systems with normally 1:1 resonant invariant tori. We focus on the generic quasi-periodic reversible Hopf bifurcation and address the persistence problem for integrable quasiperiodic tori near the bifurcation point. Using kam theory, we describe how the resulting invariant tori of maximal and lower dimensions are parame...

متن کامل

Survey on dissipative KAM theory including quasi-periodic bifurcation theory

Kolmogorov-Arnol’d-Moser Theory classically was mainly developed for conservative systems, establishing persistence results for quasi-periodic invariant tori in nearly integrable systems. In this survey we focus on dissipative systems, where similar results hold. In non-conservative settings often parameters are needed for the persistence of invariant tori. When considering families of such dyn...

متن کامل

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...

15 صفحه اول

Kam Theory for Lower Dimensional Tori within the Reversible Context 2

The reversible context 2 in KAM theory refers to the situation where dimFixG < 1 2 codim T , where FixG is the fixed point manifold of the reversing involution G and T is the invariant torus one deals with. Up to now, the persistence of invariant tori in the reversible context 2 has been only explored in the extreme particular case where dimFixG = 0 [M. B. Sevryuk, Regul. Chaotic Dyn. 16 (2011)...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Moscow Mathematical Journal

سال: 2017

ISSN: 1609-4514

DOI: 10.17323/1609-4514-2017-17-4-803-823