Nonlinear bifurcation analysis of stiffener profiles via deflation techniques

When loading experiments are repeated on different samples, qualitatively different results can occur. This is due to factors such as geometric imperfections, load asymmetries, unevenly stressed regions or uneven material distributions created by manufacturing processes. This fact makes designing robust thin-walled structures difficult. One...

On discrete and continuous state adaptive network models: with an application to self-organisation in swarming systems

We consider adaptive network models with discrete and continuous state sets obeying dynamical rules that enable application to swarming systems. The 2-state adaptive network contains a supercritical pitchfork bifurcation in the transition between ordered and disordered stationary solutions. We derive an adaptive network model that works on a...

Epidemic dynamics on information-driven adaptive networks

Research on the interplay between the dynamics on the network and the dynamics of the network has attracted much attention in recent years. In this work, we propose an information-driven adaptive model, where disease and disease information can evolve simultaneously. For the information-driven adaptive process, susceptible (infected)...

Bifurcation Analysis of a Multi-Parameter Liénard Polynomial System

In this paper, we study a multi-parameter Liénard polynomial system carrying out its global bifurcation analysis. To control the global bifurcations of limit cycle in this systems, it is necessary to know the properties and combine the effects of all its field rotation parameters. It can be done by means of the development of our...

Spatial identification of critical nutrient loads of large shallow lakes: Implications for Lake Taihu (China)

Ongoing eutrophication frequently causes toxic phytoplankton blooms. This induces huge worldwide challenges for drinking water quality, food security and public health. Of crucial importance in avoiding and reducing blooms is to determine the maximum nutrient load ecosystems can absorb, while remaining in a good ecological state. These so...

Mathematical models for atherosclerotic plaque evolution

Atherosclerosis is a disease in which low density lipoproteins (LDL) accumulate in the arterial wall due to an inflammatory response, which is triggered by the oxidation of LDL molecules that are already present in the arterial wall. Progression of atherosclerotic plaques involves many components which includes, macrophages, monocytes, LDL,...

On the parametric excitation of some nonlinear aeroelastic oscillators