We provide an overview of current techniques and typical applications of numerical
bifurcation analysis in fluid dynamical problems. Many of these problems are characterized …

Over the last two decades the complex network paradigm has proven to be a fruitful tool for
the investigation of complex systems in many areas of science; for example, the Internet …

This textbook provides a mathematical introduction to the theory of large-scale ocean
circulation and is accessible for readers with an elementary knowledge of mathematics and …

It is known that global climate models (GCMs) have substantial biases in the surface
freshwater flux. Using numerical bifurcation analyses on a global ocean model, we study …

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change
in their forcing, for example due to the occurrence of multiple equilibrium solutions for a …

In this article, a discretized two‐dimensional chemostat model is investigated. By using the
algebraic technique, it is proved that the discrete chemostat model has semitrivial …

It is known that global climate models (GCMs) have substantial biases in the surface
freshwater flux which forces the ocean component of these models. Using numerical …

The spin-up timescale in large-scale ocean models, ie, the time it takes to reach an
equilibrium state, is determined by the slow processes in the deep ocean and is usually in …

The application of bifurcation analysis to ocean climate models is substantially hampered by
difficulties associated with the use of convective adjustment, ie a parameterisation of …

Abstract The Pre‐Industrial climate model simulation is intended as an equilibrium control
experiment that uses constant external forcing, yet in the Coupled Model Intercomparison …