| Publication | Date of Publication | Type |
|---|
| Geometric blow-up for folded limit cycle manifolds in three time-scale systems | 2024-01-12 | Paper |
| Global stability for McKean-Vlasov equations on large networks | 2023-12-23 | Paper |
| Fractional Dissipative PDEs | 2023-12-09 | Paper |
| Early warning signs of critical transitions -- The $\alpha$-stable case | 2023-11-27 | Paper |
| On network dynamical systems with a nilpotent singularity | 2023-10-13 | Paper |
| Adaptive dynamical networks | 2023-09-19 | Paper |
| Extending Discrete Geometric Singular Perturbation Theory to Non-Hyperbolic Points | 2023-08-11 | Paper |
| Phase Oscillator Networks with Nonlocal Higher-Order Interactions: Twisted States, Stability, and Bifurcations | 2023-08-07 | Paper |
| Embedding Capabilities of Neural ODEs | 2023-08-02 | Paper |
| Early-Warning Signs for SPDEs with Continuous Spectrum | 2023-07-26 | Paper |
| Continuum limits for adaptive network dynamics | 2023-07-17 | Paper |
| Center manifolds for rough partial differential equations | 2023-07-04 | Paper |
| Discrete geometric singular perturbation theory | 2023-05-23 | Paper |
| Persistent synchronization of heterogeneous networks with time-dependent linear diffusive coupling | 2023-05-09 | Paper |
| Reduction methods in climate dynamics -- a brief review | 2023-05-08 | Paper |
| Cross-diffusion induced instability on networks | 2023-04-24 | Paper |
| A Formal Geometric Blow-up Method for Pattern Forming Systems | 2023-02-13 | Paper |
| Bifurcations and Early-Warning Signs for SPDEs with Spatial Heterogeneity | 2022-12-28 | Paper |
| Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations | 2022-10-31 | Paper |
| A traveling wave bifurcation analysis of turbulent pipe flow | 2022-10-19 | Paper |
| Vlasov equations on digraph measures | 2022-10-13 | Paper |
| Community integration algorithms (CIAs) for dynamical systems on networks | 2022-09-24 | Paper |
| Multi-population phase oscillator networks with higher-order interactions | 2022-09-16 | Paper |
| Entry-exit functions in fast-slow systems with intersecting eigenvalues | 2022-08-24 | Paper |
| Balancing quarantine and self-distancing measures in adaptive epidemic networks | 2022-07-19 | Paper |
| Controlling Canard cycles | 2022-07-15 | Paper |
| Geometric analysis of fast-slow PDEs with fold singularities | 2022-07-13 | Paper |
| Vlasov Equations on Directed Hypergraph Measures | 2022-07-08 | Paper |
| Geometric blow-up of a dynamic Turing instability in the Swift-Hohenberg equation | 2022-07-08 | Paper |
| A survey on the blow-up method for fast-slow systems | 2022-06-27 | Paper |
| Single-spike solutions to the 1D shadow Gierer-Meinhardt problem | 2022-06-13 | Paper |
| Estimating rate-induced tipping via asymptotic series and a Melnikov-like method* | 2022-06-03 | Paper |
| Random walks and Laplacians on hypergraphs: when do they match? | 2022-05-27 | Paper |
| Slow manifolds for infinite-dimensional evolution equations | 2022-05-06 | Paper |
| Traveling wave dynamics for Allen-Cahn equations with strong irreversibility | 2022-04-04 | Paper |
| Community Integration Algorithms (CIAs) for Dynamical Systems on Networks | 2022-03-30 | Paper |
| A general view on double limits in differential equations | 2022-03-10 | Paper |
| On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs | 2022-02-22 | Paper |
| Computer Validation of Neural Network Dynamics: A First Case Study | 2022-02-10 | Paper |
| The hyperbolic umbilic singularity in fast-slow systems | 2022-02-03 | Paper |
| Mean field limits of co-evolutionary heterogeneous networks | 2022-02-03 | Paper |
| Discretized fast-slow systems with canards in two dimensions | 2022-02-03 | Paper |
| Graphop Mean-Field Limits for Kuramoto-Type Models | 2022-01-26 | Paper |
| Uncertainty Quantification of Bifurcations in Random Ordinary Differential Equations | 2021-12-14 | Paper |
| Stochastic Rotating Waves | 2021-11-13 | Paper |
| Metastable speeds in the fractional Allen-Cahn equation | 2021-11-11 | Paper |
| A geometric analysis of the SIRS epidemiological model on a homogeneous network | 2021-10-04 | Paper |
| Connecting a direct and a Galerkin approach to slow manifolds in infinite dimensions | 2021-09-22 | Paper |
| A random dynamical systems perspective on isochronicity for stochastic oscillations | 2021-08-30 | Paper |
| Random attractors via pathwise mild solutions for stochastic parabolic evolution equations | 2021-08-10 | Paper |
| Reduced models of cardiomyocytes excitability: comparing Karma and FitzHugh-Nagumo | 2021-08-09 | Paper |
| On the influence of cross-diffusion in pattern formation | 2021-08-02 | Paper |
| Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method | 2021-07-23 | Paper |
| Rough Center Manifolds | 2021-07-21 | Paper |
| A qualitative mathematical model of the immune response under the effect of stress | 2021-07-15 | Paper |
| Homogenization of coupled fast-slow systems via intermediate stochastic regularization | 2021-07-07 | Paper |
| Random walks and Laplacians on hypergraphs: When do they match? | 2021-06-22 | Paper |
| Warning signs for non-Markovian bifurcations: colour blindness and scaling laws | 2021-06-15 | Paper |
| Resilience of dynamical systems | 2021-05-21 | Paper |
| Numerical continuation for fractional PDEs: sharp teeth and bloated snakes | 2021-05-14 | Paper |
| On fast-slow consensus networks with a dynamic weight | 2021-04-29 | Paper |
| Numerical continuation for a fast-reaction system and its cross-diffusion limit | 2020-12-16 | Paper |
| A geometric analysis of the SIR, SIRS and SIRWS epidemiological models | 2020-12-13 | Paper |
| Dynamics of Stochastic Reaction-Diffusion Equations | 2020-12-02 | Paper |
| Blowing-up Nonautonomous Vector Fields: Infinite Delay Equations and Invariant Manifolds | 2020-10-27 | Paper |
| Blow-up analysis of fast-slow PDEs with loss of hyperbolicity | 2020-07-20 | Paper |
| Sample paths estimates for stochastic fast-slow systems driven by fractional Brownian motion | 2020-07-20 | Paper |
| Travelling waves in monostable and bistable stochastic partial differential equations | 2020-06-30 | Paper |
| Random attractors for stochastic partly dissipative systems | 2020-06-17 | Paper |
| Metastable Speeds in the Fractional Allen-Cahn Equation | 2020-06-04 | Paper |
| Pathwise mild solutions for quasilinear stochastic partial differential equations | 2020-05-14 | Paper |
| Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem | 2020-05-13 | Paper |
| Computing Invariant Sets of Random Differential Equations Using Polynomial Chaos | 2020-04-21 | Paper |
| Combined error estimates for local fluctuations of SPDEs | 2020-04-15 | Paper |
| Random switching near bifurcations | 2020-04-01 | Paper |
| Coupled Dynamics on Hypergraphs: Master Stability of Steady States and Synchronization | 2020-03-30 | Paper |
| Travelling waves for discrete stochastic bistable equations | 2020-03-07 | Paper |
| Mathematical analysis of nonlocal PDEs for network generation | 2020-01-29 | Paper |
| Corrigendum to ``Regularity structures and renormalisation of Fitzhugh-Nagumo SPDEs in three space dimensions | 2019-12-12 | Paper |
| Predicting sparse circle maps from their dynamics | 2019-11-14 | Paper |
| Rigorous validation of stochastic transition paths | 2019-11-08 | Paper |
| Duck traps: two-dimensional critical manifolds in planar systems | 2019-10-29 | Paper |
| A gradient flow formulation for the stochastic Amari neural field model | 2019-10-22 | Paper |
| Discretized fast–slow systems near pitchfork singularities | 2019-10-21 | Paper |
| Scaling laws and warning signs for bifurcations of SPDEs | 2019-10-17 | Paper |
| Towards sample path estimates for fast–slow stochastic partial differential equations | 2019-10-17 | Paper |
| Book Reviews | 2019-09-02 | Paper |
| Power Network Dynamics on Graphons | 2019-08-26 | Paper |
| Multiscale dynamics of an adaptive catalytic network | 2019-08-16 | Paper |
| Smoluchowski's discrete coagulation equation with forcing | 2019-07-26 | Paper |
| Discretized fast-slow systems near transcritical singularities | 2019-06-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5380157 | 2019-06-03 | Paper |
| On fast-slow consensus networks with a dynamic weight | 2019-04-04 | Paper |
| Pattern formation in the doubly-nonlocal Fisher-KPP equation | 2019-03-26 | Paper |
| Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs | 2019-03-15 | Paper |
| A note on kernel methods for multiscale systems with critical transitions | 2019-02-28 | Paper |
| Uncertainty transformation via Hopf bifurcation in fast–slow systems | 2019-01-04 | Paper |
| Tracking particles in flows near invariant manifolds via balance functions | 2018-10-23 | Paper |
| Analysis and Predictability of Tipping Points with Leading-Order Nonlinear Term | 2018-08-28 | Paper |
| Validity of amplitude equations for nonlocal nonlinearities | 2018-08-27 | Paper |
| Stochastic mixed-mode oscillations in a three-species predator-prey model | 2018-06-13 | Paper |
| Early-warning signals for bifurcations in random dynamical systems with bounded noise | 2018-05-09 | Paper |
| Continuation of probability density functions using a generalized Lyapunov approach | 2017-12-14 | Paper |
| A meeting point of entropy and bifurcations in cross-diffusion herding | 2017-11-24 | Paper |
| Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems | 2017-11-01 | Paper |
| Model spaces of regularity structures for space-fractional SPDEs | 2017-10-17 | Paper |
| Combined Error Estimates for Local Fluctuations of SPDEs | 2016-11-14 | Paper |
| Heterogeneous population dynamics and scaling laws near epidemic outbreaks | 2016-10-19 | Paper |
| A remark on geometric desingularization of a non-hyperbolic point using hyperbolic space | 2016-09-13 | Paper |
| A dynamical systems approach for the contact-line singularity in thin-film flows | 2016-08-18 | Paper |
| Regularity structures and renormalisation of FitzHugh-Nagumo SPDEs in three space dimensions | 2016-05-23 | Paper |
| Early-warning signs for pattern-formation in stochastic partial differential equations | 2016-01-26 | Paper |
| Numerical Continuation and SPDE Stability for the 2D Cubic-Quintic Allen--Cahn Equation | 2015-11-12 | Paper |
| Traveling waves for a bistable equation with nonlocal diffusion | 2015-09-29 | Paper |
| On decomposing mixed-mode oscillations and their return maps | 2015-07-27 | Paper |
| Multiscale geometry of the Olsen model and non-classical relaxation oscillations | 2015-06-11 | Paper |
| From random Poincaré maps to stochastic mixed-mode-oscillation patterns | 2015-04-16 | Paper |
| Multiple time scale dynamics | 2014-12-02 | Paper |
| On bounded positive stationary solutions for a nonlocal Fisher-KPP equation | 2014-11-07 | Paper |
| Large deviations for nonlocal stochastic neural fields | 2014-07-14 | Paper |
| Normal hyperbolicity and unbounded critical manifolds | 2014-07-03 | Paper |
| Dynamical analysis of evolution equations in generalized models | 2013-11-05 | Paper |
| A mathematical framework for critical transitions: normal forms, variance and applications | 2013-08-07 | Paper |
| Nonlocal generalized models of predator-prey systems | 2013-04-24 | Paper |
| Deterministic Continuation of Stochastic Metastable Equilibria via Lyapunov Equations and Ellipsoids | 2012-08-30 | Paper |
| Mixed-Mode Oscillations with Multiple Time Scales | 2012-08-22 | Paper |
| Hunting French ducks in a noisy environment | 2012-05-07 | Paper |
| Characterizing Slow Exit and Entrance Points | 2012-01-29 | Paper |
| A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics | 2011-08-01 | Paper |
| FROM FIRST LYAPUNOV COEFFICIENTS TO MAXIMAL CANARDS | 2010-09-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3579786 | 2010-08-10 | Paper |
| Homoclinic Orbits of the FitzHugh–Nagumo Equation: Bifurcations in the Full System | 2010-05-06 | Paper |
| Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit | 2009-12-21 | Paper |
| Computing Slow Manifolds of Saddle Type | 2009-07-29 | Paper |
| Scaling of saddle-node bifurcations: degeneracies and rapid quantitative changes | 2009-02-10 | Paper |
| Exploring Parameter Spaces in Dynamical Systems | 2008-07-12 | Paper |
| Introduction to Potential Theory via Applications | 2008-04-29 | Paper |
