Special Session 82: Dissipative Systems and Applications

Typical behavior of differentially positive systems on a globally orderable Riemannian manifold
Yi Wang
University of Science and Technology of China
Peoples Rep of China
Co-Author(s):    Lin Niu
Abstract:
Differentially positive systems are nonlinear systems whose linearization along trajectories preserves a cone field on a smooth Riemannian manifold. The structures of cone field come from general relativity and Lie theory. In this talk, we will show that almost all (in both topological and measure-theoretic sense) orbits are convergent to certain single equilibrium. This solved a reduced version of Forni-Sepulchre`s conjecture in 2016 for globally orderable manifolds.