We give an overview of all codim 1 bifurcations in generic planar discontinuous piecewise
smooth autonomous systems, here called Filippov systems. Bifurcations are defined using …

An overview of some of the mathematical models appearing in the literature for use in the
glucose-insulin regulatory system in relation to diabetes is given, enhanced with a survey on …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

The harmonic balance (HB) method is widely used in the literature for analyzing the periodic
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …

The stability of dc microgrids (MGs) depends on the control strategy adopted for each mode
of operation. In an islanded operation mode, droop control is the basic method for bus …

MATCONT is a graphical MATLAB software package for the interactive numerical study of
dynamical systems. It allows one to compute curves of equilibria, limit points, Hopf points …

This book deals with the efficient numerical solution of challenging nonlinear problems in
science and engineering, both in finite dimension (algebraic systems) and in infinite …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

The present study investigates the nonlinear size-dependent behaviour of an electrically
actuated MEMS resonator based on the modified couple stress theory; the microbeam is …

In the present study, the nonlinear resonant dynamics of a microscale beam is studied
numerically. The nonlinear partial differential equation governing the motion of the system is …