Experimental continuation encompasses a set of methods that combine control and
continuation to obtain the full bifurcation diagram of a nonlinear system experimentally …

We present bifurcation and stability analysis of static equilibrium configurations of a clamped-
clamped curved pipe conveying fluid in this paper. To capture large deformations of the …

We construct reduced-order models (ROMs) for a geometrically nonlinear viscoelastic
cantilevered pipe conveying fluid, a dynamical system that includes asymmetric damping …

In Part I of this paper, we have used spectral submanifold (SSM) theory to construct reduced-
order models for harmonically excited mechanical systems with internal resonances. In that …

Dynamical systems are often subject to algebraic constraints in conjunction with their
governing ordinary differential equations. In particular, multibody systems are commonly …

We present a data-driven and interpretable approach for reducing the dimensionality of
chaotic systems using spectral submanifolds (SSMs). Emanating from fixed points or …

The theory of spectral submanifolds (SSMs) has emerged as a powerful tool for constructing
rigorous, low-dimensional reduced-order models (ROMs) of high-dimensional nonlinear …

Due to the novel applications of flexible pipes conveying fluid in the field of soft robotics and
biomedicine, the investigations on the mechanical responses of the pipes have attracted …

This paper presents a numeric continuation framework for periodic orbits of piecewise-
smooth and hybrid dynamical systems with fixed point delays. For the numeric solution of the …

For mechanical systems subject to periodic excitation, forced response curves (FRCs) depict
the relationship between the amplitude of the periodic response and the forcing frequency …