The motion of a free-moving plate atop turbulent thermal convection exhibits diverse
dynamics that displays characteristics of both deterministic and chaotic motions. Early …

We provide deterministic controllability conditions that imply exponential mixing properties
for randomly forced constrained dynamical systems with possibly unbounded state space …

Understanding and predicting the dynamical properties of systems involving dry friction is a
major concern in physics and engineering. It abounds in many mechanical processes, from …

For a few decades ago, there has been a huge amount of studies on plastic deformation of
elasto-plastic oscillators in the engineering literature. In one of our recent works, we …

The risk of failure of mechanical structures under random forcing is an important concern in
earthquake engineering. For a class of simple structures that can be modeled by an elasto …

In the literature, failure risk analysis on most elasto-perfectly-plastic oscillators is essentially
focused on those excited by white noise, which is rather restrictive from the modeling …

We present a computational alternative to probabilistic simulations for non-smooth
stochastic dynamical systems that are prevalent in engineering mechanics. As examples, we …

In a recent work of A. Bensoussan and J. Turi Degenerate Dirichlet Problems Related to the
Invariant Measure of Elasto-Plastic Oscillators, AMO, 2008, it has been shown that the …

An important issue in the failure analysis of some mechanical structures under seismic
forcing is to estimate the statistics of the response of an elasto-perfectly plastic oscillator with …

We consider the optimal stopping and optimal control problems related to stochastic
variational inequalities modeling elasto-plastic oscillators subject to random forcing. We …