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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
环形 阿诺索夫微分同胚 谱刚度 联合可积性
2023/4/14
In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with s...
ON SIMULTANEOUS LINEARIZATION OF DIFFEOMORPHISMS OF THE SPHERE
DIFFEOMORPHISMS SIMULTANEOUS LINEARIZATION
2015/9/29
Let R1, R2 . . . Rm be rotations generating SOd+1, d ≥
2, and f1, f2 . . . fm be their small smooth perturbations. We show
that {fα} can be simultaneously linearized if and only if the assocated ran...
Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surface
C1-diffeomorphisms dynamics generic conservative diffeomorphisms of surface
2010/11/24
In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss is that a C1-generi...
Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
Essential hyperbolicity homoclinic bifurcations dichotomy phenomenon/mechanism for diffeomorphisms
2010/11/22
We prove that any diffeomorphism of a compact manifold can be approximated in topology C1 by another diffeomorphism exhibiting a homoclinic bifurcation (a homoclinic tangency or a heterodimensional c...
Arithmetic properties of centralizers of diffeomorphisms of the half-line
Arithmetic properties centralizers diffeomorphisms
2010/11/22
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1_f i...