3 papers
math.DS2025
Rotation Numbers and Geometric Invariants in Bicycle Dynamics
Diantong Li, Qiaoling Wei, Meirong Zhang +1
We study planar bicycle dynamics via the rotation number function associated with a closed front track and bicycle length R. We prove that mode-locking plateaus occur only at integ…
math.FA2024
Asymptotic stability of the spectra of generalized indefinite strings
Guixin Xu, Meirong Zhang, Zhe Zhou
This paper focuses on the asymptotic stability of the spectra of generalized indefinite strings (GISs). A unitarily equivalent linear relation is introduced for GISs. It is shown t…
math.DS2021
The rotation number for almost periodic potentials with jump discontinuities and -interactions
David Damanik, Meirong Zhang, Zhe Zhou
We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and -interactions. For operators of this kind we introduc…