The convergence to the fixed point at a bifurcation and near it is characterized via scaling
formalism for three different types of local bifurcations of fixed points in differential equations …

In this paper a two degrees of freedom undamped nonlinear system of two unforced coupled
oscillators with cubic nonlinearities is analyzed. Through a decoupling procedure and using …

Some scaling properties describing the convergence for the steady state in a Hopf
bifurcation are discussed. Two different procedures are considered in the investigation:(i) a …

The conventional local bifurcation theory (CBT) fails to present a complete characterization
of the stability and general aspects of complex phenomena. After all, the CBT only explores …

The bifurcation structure of a system of two non-linear coupled oscillators is considered
here. This system is motivated by coupled micro-oscillators proposed for …

A nonlinearly coupled mathematical model of an electro-magneto-mechanical system is
studied via the multiple scale approach in order to investigate its weakly nonlinear dynamics …

The behavior of large nonlinear dynamic systems underlying complex networked systems is
hard to predict. Uncertainty quantification (UQ) in such systems by conventional methods …

The dynamics of a nonlinearly coupled electro-magneto-mechanical system is numerically
investigated with the aim to obtain a comprehensive description of its behavior in strongly …

Scaling laws are generally associated with changes in the spatial structure of dynamical
systems due to variations of control parameters. In the local bifurcation theory, when an …

The dynamic response of an electro-magneto-mechanical coupled system excited by a
harmonic voltage is addressed. The system mathematical model involves coupling quadratic …