Oleg Makarenkov joined the UT Dallas faculty in 2013 as an Assistant Professor in the Department of Mathematical Sciences. His research interests are currently focused on "applications of the theory of dynamical systems to real-life models that involve sudden switches, discontinuities and jumps." This would include:
- Nonsmooth Dynamical Systems
- Moreau’s Sweeping Processes
- Dispersing Billiards
- Switching Closed-Loop Control
- Non-Monotone Population Models
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Dwell Time for Local Stability of Switched Affine Systems with Application to Non-Spiking Neuron Models For switched systems that switch between distinct globally stable equilibria, we offer closed-form formulas that lock oscillations in the required neighborhood of the equilibria. Motivated by non-spiking neuron models, the ...