3 papers
math.DS2024
An equation in nonlinear combination of iterates
Chaitanya Gopalakrishna, Weinian Zhang
In this paper we deal with an equation in nonlinear combination of iterates. Although it can be reduced by the logarithm conjugacy to a form for application of Schauder's or Banach…
math.DS2023
Orbits and tsectors in irregular exceptional directions of full-null degenerate singular point
Jun Zhang, Xingwu Chen, Weinian Zhang
Near full-null degenerate singular points of analytic vector fields, asymptotic behaviors of orbits are not given by eigenvectors but totally decided by nonlinearities. Especially,…
math.DS2023
Smooth invariant foliations without a bunching condition and Belitskii's linearization for random dynamical systems
Wenmeng Zhang, Kening Lu, Weinian Zhang
Smooth linearization is one of the central themes in the study of dynamical systems. The classical Belitskii's linearization theorem has been widely used in the investigation…