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 …

The randomly-excited elastic-perfectly-plastic oscillator—hysteretic bilinear oscillator with
zero secondary stiffness—has been extensively researched. The vast majority of the work on …

A stochastic variational inequality is proposed to model an elasto-plastic oscillator excited by
a filtered white noise. We prove the ergodic property of the process and characterize the …

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 this work, we propose a method to compute numerical approximations of the invariant
measures and Rice's formula (frequency of threshold crossings) for a certain type of …

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 …

In a previous work by the first author with J. Turi [Appl. Math. Optim. 58 (1)(2008), 1–27], a
stochastic variational inequality has been introduced to model an elasto-plastic oscillator …

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 …