activity
20182026
most citedThe dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space

41 citations · 110 across the 14 of their papers we have counts for

collaborators

15 papers

math.DS2026

Optimisation of tipping pathways in a spatially heterogeneous world

Aurora Faure Ragani, Robbin Bastiaansen

In spatially extended systems, tipping does not necessarily lead to a uniform, abrupt transition typical of low-dimensional conceptual climate models. Instead, spatially structured…

math.DS2025

Early warning of critical transitions: distinguishing tipping points from Turing destabilizations

Paul A. Sanders, Robbin Bastiaansen

Current early warning signs for tipping points often fail to distinguish between catastrophic shifts and less dramatic state changes, such as spatial pattern formation. This paper…

math.DS2025

The role of coupling and timescales for interacting tipping elements

Paul D. L. Ritchie, Robbin Bastiaansen, Anna S. von der Heydt +1

Sudden and abrupt changes can occur in a nonlinear system within many fields of science when such a system crosses a tipping point; rapid changes of the system can then occur in re…

nlin.CD2025

Early warning skill, extrapolation and tipping for accelerating cascades

Peter Ashwin, Robbin Bastiaansen, Anna S. von der Heydt +1

We investigate how nonlinear behaviour (both of forcing in time and of the system itself) can affect the skill of early warning signals to predict tipping in (directionally) couple…

math.DS2025

Multi-front dynamics in spatially inhomogeneous Allen-Cahn equations

Robbin Bastiaansen, Arjen Doelman, Tasso J. Kaper

Recent studies of biological, chemical, and physical pattern-forming systems have started to go beyond the classic `near onset' and `far from equilibrium' theories for homogeneous…

physics.ao-ph2024★ 10 cited

Assessment of Abrupt Shifts in CMIP6 Models using Edge Detection

Sjoerd Terpstra, Swinda K. J. Falkena, Robbin Bastiaansen +3

Past research has shown that multiple climate subsystems might undergo abrupt shifts, such as the Arctic Winter sea ice or the Amazon rainforest, but there are large uncertainties…

nlin.PS2023★ 2 cited

Rethinking tipping points in spatial ecosystems

Swarnendu Banerjee, Mara Baudena, Paul Carter +3

The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosy…

physics.ao-ph2022★ 10 cited

Climate Response and Sensitivity: Timescales and Late Tipping Points

Robbin Bastiaansen, Peter Ashwin, Anna S. von der Heydt

Climate response metrics are used to quantify the Earth's climate response to anthropogenic changes of atmospheric CO2. Equilibrium Climate Sensitivity (ECS) is one such metric tha…

nlin.PS2021

Partial tipping in a spatially heterogeneous world

Robbin Bastiaansen, Henk A. Dijkstra, Anna S. von der Heydt

Many climate subsystems are thought to be susceptible to tipping - and some might be close to a tipping point. The general belief and intuition, based on simple conceptual models o…

physics.ao-ph2021★ 1 cited

Projections of the Transient State-Dependency of Climate Feedbacks

Robbin Bastiaansen, Henk A. Dijkstra, Anna S. von der Heydt

When the climate system is forced, e.g. by emission of greenhouse gases, it responds on multiple time scales. As temperatures rise, feedback processes might intensify or weaken. Cu…

physics.ao-ph2020★ 6 cited

Multivariate Estimations of Equilibrium Climate Sensitivity from Short Transient Warming Simulations

Robbin Bastiaansen, Henk A. Dijkstra, Anna S. von der Heydt

One of the most used metrics to gauge the effects of climate change is the equilibrium climate sensitivity, defined as the long-term (equilibrium) temperature increase resulting fr…

q-bio.PE2019★ 1 cited

Modelling honey bee colonies in winter using a Keller-Segel model with a sign-changing chemotactic coefficient

Robbin Bastiaansen, Arjen Doelman, Frank van Langevelde +1

Thermoregulation in honey bee colonies during winter is thought to be self-organised. We added mortality of individual honey bees to an existing model of thermoregulation to accoun…

math.AP2018

Pulse solutions for an extended Klausmeier model with spatially varying coefficients

Robbin Bastiaansen, Martina Chirilus-Bruckner, Arjen Doelman

Motivated by its application in ecology, we consider an extended Klausmeier model, a singularly perturbed reaction-advection-diffusion equation with spatially varying coefficients.…

math.AP2018★ 39 cited

Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems

Robbin Bastiaansen, Paul Carter, Arjen Doelman

In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stri…

math.AP2018★ 41 cited

The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space

Robbin Bastiaansen, Arjen doelman

We consider the evolution of multi-pulse patterns in an extended Klausmeier equation with parameters that change in time and/or space. We formally show that the full PDE dynamics o…