This book presents the recently introduced and already widely referred semi-discretization
method for the stability analysis of delayed dynamical systems. Delay differential equations …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

The phenomenon of oscillatory instability called 'flutter'was observed in aeroelasticity and
rotor dynamics about a century ago. Driven by a series of applications involving non …

Bifurcation analysis is a powerful method for studying the steady-state nonlinear dynamics of
systems. Software tools exist for the numerical continuation of steady-state solutions as …

Fold bifurcations—also called saddle-node bifurcations—mark a point where two branches
of stable and unstable steady-state solutions merge and annihilate each other. As fold …

The nonlinear dynamics of towed wheels is analysed with the help of the brush tyre model.
The time delay in the tyre–ground contact and the non-smooth nature of the system caused …

This paper establishes new analytical results in the mathematical theory of brush tyre
models. In the first part, the exact problem which considers large camber angles is analysed …

This work presents a theoretical framework for the safety‐critical control of time delay
systems. The theory of control barrier functions, that provides formal safety guarantees for …

Helical milling tools of nonuniform helix angles are widely used in manufacturing industry.
While the milling tools with these special cutting edges are already available in the market …

Vehicle shimmy could occur in the running process when the wheel encounters external
disturbance, which affects the vehicle safety and stability. Four types of passive inerter …