Ting-Hao Hsu

most citedRelaxation Oscillations and the Entry-Exit Function in Multi-Dimensional Slow-Fast Systems

5 citations · 5 across the 1 of their papers we have counts for

collaborators

3 papers

math.DS2019★ 5 cited

Relaxation Oscillations and the Entry-Exit Function in Multi-Dimensional Slow-Fast Systems

Ting-Hao Hsu, Shigui Ruan

For a slow-fast system of the form $p ˙ = ε f (p, z, ε) + h (p, z, ε)$ , $z ˙ = g (p, z, ε)$ for $(p, z) \in R^{n} \times R^{m}$ , we consider the scenario that the system has invar…

math.DS2018

A Criterion for the Existence of Relaxation Oscillations with Applications to Predator-Prey Systems and an Epidemic Model

Ting-Hao Hsu, Gail S. K. Wolkowicz

We derive characteristic functions to determine the number and stability of relaxation oscillations for a class of planar systems. Applying our criterion, we give conditions under…

math.DS2018

Growth on Two Limiting Essential Resources in a Self-Cycling Fermentor

Ting-Hao Hsu, Tyler Meadows, Lin Wang +1

A system of impulsive differential equations with state-dependent impulses is used to model the growth of a single population on two limiting essential resources in a self-cycling…