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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linked periodic orbits of disc homeomorphisms
圆盘同胚 连锁 周期轨道
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2023/5/8
In 1990, Gambaudo introduced the notion of linking of two invariant sets of a surface self-map. Most of the known results of linked periodic orbits are about an orbit linked with a fixed point. In thi...
Integration of Constraint Equations in Problems of a Disc and a Ball Rolling on a Horizontal Plane
Integration of Constraint Equations Disc Ball Rolling Horizontal Plane Dynamical Systems
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2011/10/9
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
Another extension of the disc algebra
Disc Algebra Mergelyan’s Theorem Polynomial Approximation
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2011/2/22
We identify the complex plane C with the open unit disc D = {z ∈ C : |z| < 1}by the homeomorphism C ∋ z 7→ z 1+|z| ∈ D.
Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions
Bose-Einstein Condensates Superfluidity Vortices Giant Vortex
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2011/1/18
e study the two-dimensional Gross-Pitaevskii theory of a rotating Bose gas in a disc-shaped trap with Dirichlet boundary conditions, generalizing and extending previous results that were obtained unde...
An extension of the disc Algebra
Disc Algebra Mergelyan’s Theorem chordal metric polyno-mial approximation generic property
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2010/12/14
We identify all uniform limits of polynomials on the closed unit disc D with respect to the chordal metric on C ∪ {∞}. One such limit is f ≡ ∞. The other limits are holomorphic functions f : D → C s...
An Investigation on a Subclass of p-Valently Starlike Functions in the Unit Disc
Starlike and convex functions distortion theorem coefficient inequality
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2010/2/26
Let Ap denote the class of functions of the form f(z) = zp+ap+1zp+1+ap+2zp+2+ ··· which are regular and p-valent in the open unit disc D = {z : |z| < 1}. Let Mp(a) be the subclass of Ap consisting of ...
The Radius of Starlikeness p-Valently Analytic Functions in the Unit Disc
p-valent analytic functions Radius of starlikeness Radius of convexity
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2010/2/26
In the present paper we shall give the radius of starlikeness for the classes of p-valent analytic functions in the unit disc D = { z | |z| < 1 }.