Scaling law in the standard map critical function. Interpolating Hamiltonian and frequency map analysis
نویسندگان
چکیده
منابع مشابه
0 Submitted to : Nonlinearity Scaling Law in the Standard Map Critical Function . Interpolating Hamiltonian and Frequency Map Analysis
We study the behaviour of the Standard map critical function in a neighbourhood of a fixed resonance, that is the scaling law at the fixed resonance. We prove that for the fundamental resonance the scaling law is linear. We show numerical evidence that for the other resonances p/q, q ≥ 2, p 6= 0 and p and q relatively prime, the scaling law follows a power–law with exponent 1/q.
متن کاملScaling of the Critical Function for the Standard Map: Some Numerical Results
A. The behavior of the critical function for the breakdown of the homotopically non-trivial invariant (KAM) curves for the standard map, as the rotation number tends to a rational number, is investigated using a version of Greene’s residue criterion. The results are compared to the analogous ones for the radius of convergence of the Lindstedt series, in which case rigorous theorems have ...
متن کاملBryuno Function and the Standard Map
Abstract. For the standard map the homotopically non-trivial invariant curves of rotation number ω satisfying the Bryuno condition are shown to be analytic in the perturbative parameter ε, provided |ε| is small enough. The radius of convergence ρ(ω) of the Lindstedt series – sometimes called critical function of the standard map – is studied and the relation with the Bryuno function B(ω) is der...
متن کاملa critical discourse analysis on gender representation in the iranian english books 2, 3 and top notch 2a, 2b a critical discourse analysis perspective
هدف از انجام تحقیق حاضر، مطالعه و بررسی نقش زنان و مردان در دو مجموعه از کتابهای درسی انگلیسی در قالب تحلیل گفتمان انتقادی و همچنین، بررسی و آشکار ساختن اصول ایدوئولوژیکی مربوط به نقش زنان و مردان در این کتابها است. این دو مجموعه کتاب عبارتنداز: کتابهای انگلیسی سال دوم و سوم دبیرستانی ایران و کتابهای تاپ ناچ 2آ و 2ب. برای انجام این منظور، مدل تحلیل گفتمان انتقادی فرکلاف مورد استفاده قرار گرفته ...
15 صفحه اولRegularity of critical invariant circles of the standard nontwist map
We study critical invariant circles of several noble rotation numbers at the edge of break-up for an area-preserving map of the cylinder, which violates the twist condition. These circles admit essentially unique parametrizations by rotational coordinates. We present a high accuracy computation of about 107 Fourier coefficients. This allows us to compute the regularity of the conjugating maps a...
متن کاملذخیره 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: Nonlinearity
سال: 2000
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/13/6/308