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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
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...
Minimum periods of homeomorphisms of orientable surfaces
Minimum periods homeomorphisms orientable surfaces Dynamical Systems
2012/4/17
One of the main problems of the theory of dynamical systems is the determination of the existence of periodic orbits of a self-map and more generally, the structure of the set of periods. Define the m...
Prime end rotation numbers of invariant separating contunua of annular homeomorphisms
continuum rotation set prime end rotation number Brouwer line
2011/1/18
Let f be a homeomorphism of the closed annulus A isotopic to the identity, and let X IntA be an f-invariant continuum which separates A into two domains, the upper domain U+ and the lower domain U&#...
Justification of the Dynamical Systems Method (DSM) for global homeomorphisms
The Dynamical Systems Method (DSM) surjectivity global homeomorphisms
2011/1/21
The Dynamical Systems Method (DSM) is justified for solving oper-ator equations F(u) = f, where F is a nonlinear operator in a Hilbert space H.
Transitivity and rotation sets with nonempty interior for homeomorphisms of the 2-Torus
Torus homeomorphisms rotation set transitivity omega limits
2011/1/18
We show that, if f is a homeomorphism of the 2–torus isotopic to the identity, and its lift e f is transitive, or even if it is transitive outside of the lift of the elliptic islands, then (0, 0) is i...
Annular area preserving homeomorphisms which admit no interior compact invariant sets
Area preserving homeomorphisms rotation numbers fast approxi-mation by conjugation
2011/2/28
For any irrational number , there exists an ergodic area preserv-ing homeomorphism of the closed annulus which is isotopic to the identitity,admits no compact invariant set contained in the interior ...
On equicontinuity of homeomorphisms with finite distortion in the plane
homeomorphisms finite distortion
2011/2/24
It is stated equicontinuity and normality of families F of the so–called homeomorphisms with
finite distortion on conditions that Kf (z) has finite mean oscillation, singularities of logarithmic typ...
It is shown that every homeomorphism f of finite distortion in the plane is the so-called lower Q-homeomorphism with Q(z)=K_f(z), and, on this base, it is developed the theory of the boundary behavior...
Rotation sets of invariant separating continua of annular homeomorphisms
annular homeomorphisms math
2010/11/19
Let $f$ be a homeomorphism of the closed annulus $A$ isotopic to the identity, and let $X\subset {\rm Int}A$ be an $f$-invariant continuum which separates $A$ into two domains, the upper domain $U_+$...
Diffeomorphic approximation of Sobolev homeomorphisms
Approximation Sobolev homeomorphism di eomorphism p-harmonic
2010/11/26
Every homeomorphism h: X ! Y between planar open sets that belongs to the Sobolev class W 1;p(X;Y), 1 < p < 1, can be approximated in the Sobolev norm by C1-smooth di eomorphisms.