منابع مشابه
Arnold Disks and the Moduli of Herman Rings of the Complex Standard Family
We consider the Arnold family of analytic diffeomorphisms of the circle x 7→ x + t + a 2π sin(2πx) mod (1), where a, t ∈ [0, 1) and its complexification fλ,a(z) = λze a 2 (z− 1 z , with λ = ea holomorphic self map of C. The parameter space contains the well known Arnold tongues Tα for α ∈ [0, 1) being the rotation number. We are interested in the parameters that belong to the irrational tongues...
متن کاملThe Fine Structure of Herman Rings
We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3. Shishikura’s quasiconformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. By studying the regularity properties of the maps involved, we can transfer McMullen’s results on the fine local geometry of Siegel disks to the Herman ring setting.
متن کاملClassification on Herman Rings of Extended Blaschke Equations
This paper presents some interesting results of numerical analysis of the Extended Blaschke functions, which are constructed by extending Blaschke product. On the complex plane, the convergent domains of the functions form fractal patterns of constrained Herman rings with limited-layered structures, which demonstrate skip-symmetry, symmetry broken, chaos, and degeneracy in conjunction with para...
متن کاملOn the Configuration of Herman Rings of Meromorphic Functions
We prove some results concerning the possible configurations of Herman rings for transcendental meromorphic functions. We show that one pole is enough to obtain cycles of Herman rings of arbitrary period and give a sufficient condition for a configuration to be realizable.
متن کاملGaseous Disks of Spiral Galaxies: Arms and Rings
An improved linear stability theory of small-amplitude oscillations of a self-gravitating, infinitesimally thin gaseous disk of spiral galaxies has been developed. It was shown that in the differentially rotating disks for nonaxisymmetric perturbations Toomre’s modified critical Q-parameter is larger than the standard one. We use hydrodynamical simulations to test the validity of the modified l...
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: Journal of the London Mathematical Society
سال: 2005
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610705007015