Nonlinear dynamics of a real plane and periodically forced triple pendulum is investigated
experimentally and numerically. Mathematical modeling includes details, taking into account …

Mechanical models of human self-balancing often use the Newtonian equations of inverted
pendula. While these mathematical models are precise enough on the mechanical side, the …

This work revisits recent results on maximal multiplicity induced-dominancy for spectral
values in reduced-order time-delay systems and extends it to the general class of second …

Vibrations in mechanical systems are oscillations occurring without being intentionally
provoked. They often have detrimental effects on the system performance and may cause …

We consider an experimental system consisting of a pendulum, which is free to rotate 360
degrees, attached to a cart. The cart can move in one dimension. We describe a model for …

In this article we consider the‐stabilization of n th‐order linear time‐invariant dynamical
systems using multiplicity‐induced‐dominancy‐based controller design in the presence of …

The analysis of time-delay systems mainly relies on detecting and understanding the
spectral values bifurcations when crossing the imaginary axis. This paper deals with the …

Stick balancing at the fingertip is a powerful paradigm for the study of the control of human
balance. Here we show that the mean stick balancing time is increased by about two-fold …

In this chapter, we shall consider bifurcations of dynamical systems which are described by
ordinary differential equations, difference equations and time delayed differential equations …

We give conditions under which a general class of delay differential equations has a point of
Bogdanov–Takens or a triple zero bifurcation. We show how a centre manifold projection of …