This article describes how to use smooth solvers for simulation of a class of piecewise
smooth systems of ordinary differential equations, called Filippov systems, with …

In this article, we provide an overview of a selection of topics of current interest in nonlinear
dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics …

In order to control pests, a specific management strategy called the threshold policy is
proposed, which can be described by Filippov systems (or piecewise smooth systems). The …

Considering the anatomy of small intestine involving lesions, circular folds and tumours are
the major sources resisting the locomotion of capsule robots. By mimicking the small-bowel …

We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear
dynamical systems. Our method does not require a mathematical model of the dynamical …

This article re-analyses a prey–predator model with a refuge introduced by one of the
founders of population ecology Gause and his co-workers to explain discrepancies between …

This paper considers a simple mechanical model of a pressure relief valve. For a wide
region of parameter values, the valve undergoes self-oscillations that involve impact with the …

In recent decades, Dengue fever and its deadly complications, such as Dengue
hemorrhagic fever, have become one of the major mosquito-transmitted diseases, with an …

In this paper, a two-sided damping constraint control strategy is proposed to improve the
performance of the quasi-zero stiffness isolator. The new control policy is achieved through …

This paper describes the underlying formulation and functionality of the newly developed
software program \sctc (“tc-hat”), to perform bifurcation analysis of systems in which …