Publications

Coming soon...

Slow manifolds for infinite-dimensional evolution equations

F. Hummel, C. Kuehn

Commentarii Mathematici Helvetici, Vol. 97, No. 1, pp. 61-‌132, 2022

Traveling wave dynamics for Allen-Cahn equations with strong irreversibility

G. Akagi, C. Kuehn, K.-I. Nakamura

Transactions of the American Mathematical Society, Vol. 375, No. 5, pp. 3173-3238, 2022

Warning signs for non-Markovian bifurcations: color blindness and scaling laws

C. Kuehn, K. Lux, A. Neamtu

Proceedings of the Royal Society A, Vol. 487, No. 2259, 20210740, 2022

On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs

T. Böhle, C. Kuehn, M. Thalhammer

International Journal of Computer Mathematics, Vol. 99, No. 1, pp. 31-57, 2022

Graphop mean-field limits for Kuramoto-type models

M. Gkogkas, C. Kuehn

SIAM Journal on Applied Dynamical Systems, Vol. 21, No. 1, pp. 248-‌283, 2022

A general view on double limits in differential equations

N. Berglund, C. Bick, M. Engel, T. Hurth, A. Iuorio, C. Kuehn, C. Soresina

Physica D, Vol. 431, 133105, 2022

J. Mueller, A. Tellier

Mathematical Biosciences, Vol. 349, 2022

Combinatorial models of global dynamics: learning cycling motion from data

U. Bauer, D. Hien, O. Junge, K. Mischaikow, M. Snijders

ENOC, 2022

N. Empirical evidence for recent global shifts in vegetation resilience

N. Boers, T. Smith, D. Traxl

Nat. Clim. Chang. 12, 477–484, 2022

Orbital insolation variations, intrinsic climate variability, and Quaternary glaciations

N. Boers, M. Ghil, T. Mitusi, K. Richers

Clim. Past, 18, 863–893, 2022

Pronounced loss of Amazon rainforest resilience since the early 2000s

N. Boers, C.A. Boulton, T.M. Lenton

Nat. Clim. Chang. 12, 271–278, 2022

Critical slowing down in dynamical systems driven by nonstationary correlated noise

K. Richers, T. Mitusi, N. Boers, M. Ghil

Phys. Rev. Research 4, 013230, 2022

Gut microbiota-motility interregulation: insights from in vivo, ex vivo and in silico studies

K. Alim, A. Codutti, S. El Aidyl, B. Waclawiková,

Gut Microbes, 14:1, 1997296, 2022

Emergence of behavior in a self-organized living matter network

K. Alim, P. Fleig, M. Kramar, M. Wilczek

eLife 11:e62863, 2022

Spatial transcriptomic and single-nucleus analysis reveals heterogeneity in a gigantic single-celled syncytium

K. Alim, S. Chen, T. Gerber, J. Gray Camp, A. Jain, C. Loureiro, M. Santel, N. Schramma, A. Weber, A. Weigert, B. Treutlein

eLife 11:e69745, 2022

Environmental stress level to model tumor cell growth and survival

C. Kuttler, A. Ozkan, M.N. Rylander, L. Scarabosio, S. Schönfeld

Mathematical Biosciences and Engineering, 19(6) (5509-5545)

Learning the temporal evolution of multivariate densities via normalizing flows

F. Dietrich, J. Duan, T. Gao, I. G. Kevrekidis, Y. Lu, R. Maulik

Chaos 32, 033121 (2022)

Learning emergent partial differential equations in a learned emergent space

T. Bertalan, F. Dietrich, F. P. Kemeth, I. G. Kevrekidis, C. R. Laing, S. J. Moon, T. Thiem

Nature Communications volume 13, Article number: 3318 (2022)

Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit

Z. Darbenas, M. Oliver, R. van der Hout

Ann. Inst. H. Poincaré Anal. Non Linéaire (2022)

Strict Modes Everywhere – Bringing Order Into Dynamics of Mechanical Systems by a Potential Compatible With the Geodesic Flow

A. Albu-Schäffer, A. Sachtler

IEEE Robotics and Automation Letters, vol. 7, no. 2, pp. 2337 – 2344 (2022)

Impedance Control on Arbitrary Surfaces for Ultrasound Scanning Using Discrete Differential Geometry

A. Albu-Schäffer, M. Dyck, J. Klodmann, A. Sachtler,

IEEE Robotics and Automation Letters, Vol. 7, No. 3, pp. 7738-7746 (2022)

Memory Formation in Adaptive Networks

K. Bhattacharyya, D. Zwicker, K. Alim

Phys. Rev. Lett. 129, 028101 (2022).

Changing flows balance nutrient absorption and bacterial growth along the gut

A. Codutti, J. Cremer, K. Alim

Phys. Rev. Lett. 129, 138101 (2022)

Dispersive transport dynamics in porous media emerge from local correlations

F. Meigel, T. Darwent, L. Bastin, L. Goehring, K. Alim,

Nat. Comm. 13, 5885 (2022)

Echo chambers and opinion dynamics explain the occurrence of vaccination hesitancy

J. Müller, A. Tellier, M. Kurschilgen

R. Soc. Open Sci. 9: 220367 (2022)

A Multi-Scale Model for Cholera Outbreaks

B. Musundi, J. Müller, Z. Feng

Mathematics 2022, 10, 3114

Quiescence Generates Moving Average in a Stochastic Epidemiological Model with One Host and Two Parasites

U. Sanusi, S. John, J. Mueller, A. Tellier

Mathematics 2022, 10, 2289

Life-History traits and the replicator equation

J. Müller, A. Tellier

Math. Biosc., 349 (2022), 108826

Nonlinear Flame Response Modelling by a Parsimonious Set of Ordinary Differential Equations

G. Doehner, M. Haeringer, C. F. Silva

International Journal of Spray and Combustion Dynamics, Vol. 14, Nos. 1–2, 2022, pp. 17–29

The Nonlinear Thermoacoustic Eigenvalue Problem and Its Rational Approximations: Assessment of Solution Strategies

M. Merk, P. E. Buschmann, J. Moeck, W. Polifke

Journal of Engineering for Gas Turbines and Power, 2022

Investigating Inconsistent Uncertainty Quantiﬁcation in Neural Network Models of Nonlinear Flame Response

M. T. Rywik, D. S. da Cruz, W. Polifke

Presented at the 51st International Congress and Exposition on Noise Control Engineering, 2022

Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter

D. Blömker, A. Neamţu

Stochastics and Dynamics 22, 2240013 (2022)

Modulation and amplitude equations on bounded domains for nonlinear SPDEs driven by cylindrical alpha-stable Lévy processes

S. Yuan, D. Blömker

SIAM Journal on Applied Dynamical Systems 21, 1748-1777 (2022)

Stochastic turbulence for Burgers equation driven by cylindrical Lévy process

S. Yuan, D. Blömker, J. Duan

Stochastics and Dynamics 22, 2240004 (2022)