The influence of multiple negative delayed feedback loops on the stability of a single-action mechanism are considered. A characteristic equation for the linearized stability of the equilibrium is ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

We examine the bifurcations to positive and sign-changing solutions of degenerate elliptic equations. In the problems we study, which do not represent Fredholm operators, we show that there is a ...

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...