**2019**

- Paul Ritchie, Özkan Karabacak, Jan Sieber, Inverse-square law between time and amplitude for crossing tipping thresholds, Proceedings of the Royal Society A, 2019
- Jan Sieber, John W. Hutchinson, J. Michael T. Thompson, Nonlinear Dynamics of Spherical Shells Buckling under Step Pressure, Proceedings of the Royal Society A, 475, (
**20180884**), 22 pages, 2019 - Hassan Alkhayuon, Peter Ashwin, Laura C. Jackson, Courtney Quinn, Richard A. Wood, Basin bifurcations, oscillatory instability and rate-induced thresholds for AMOC in a global oceanic box model, to appear in: Proceedings of Royal Society of London A, 2019
- M. Usman Mirza, Andries Richter, Egbert H.van Nes, Marten Scheffer, Technology driven inequality leads to poverty and resource depletion, Ecological Economics, 160, 215-226, 2019
- Iacopo P. Longo, Sylvia Novo, Rafael Obaya, Topologies of continuity for Carathêodory delay differential equations with applications in non-autonomous dynamics, Discrete and Continuous Dynamical Systems, 2019
- Rafael Obaya, Ana M. Sanz, Persistence in non-autonomous quasimonotone parabolic partial functional differential equations with delay , Discrete and Continuous Dynamical Systems, Series B, 2019
- Jing Wang, Qi Zhou, Tobias Jäger, Genericity of mode-locking for quasiperiodically forced circle maps, Advances in Mathematics (to appear), 2019

**2018**

- Jan Sieber, Christian Marschler, Jens Starke, Convergence of equation-free methods in the case of finite time scale separation with application to stochastic systems, SIAM Journal of Applied Dynamical Systems, 17, (
**4**), 33, 2018 - Damian Smug, Peter Ashwin, Didier Sornette, Predicting financial market crashes using ghost singularities, PLOS ONE, 13, (
**3**), 2018 - Courtney Quinn, Jan Sieber, Anna S. von der Heydt, Timothy M. Lenton, The Mid-Pleistocene Transition induced by delayed feedback and bistability, Dynamics and Statistics of the Climate System, 3, (
**1**), 1-17, 2018 - Iacopo P. Longo, Sylvia Novo, Rafael Obaya, Weak Topologies for Carathéodory Differential Equations: Continuous Dependence, Exponential Dichotomy and Attractors , Journal of Dynamics and Differential Equations, 2018
- Hassan Alkhayuon, Peter Ashwin, Rate-induced tipping from periodic attractors: Partial tipping and connecting orbits, Chaos, 28, 33608, 2018
- Shabbir Ahmad, Saleem H. Ali, M. Usman Mirza, Hina Lotia, The limits of water pricing in a developing country metropolis: Empirical lessons from an industrial city of Pakistan, Water, 9, (
**7**), 533, 2018 - Johannes Lohmann, Peter D. Ditlevsen, Random and externally controlled occurrences of Dansgaard-Oeschger events, Climate of the Past, 14, 609-617, 2018
- Damian Smug, Didier Sornette, Peter Ashwin, A Generalized 2D-Dynamical Mean-Field Ising Model with a Rich Set of Bifurcations (Inspired and Applied to Financial Crises), International Journal of Bifurcation and Chaos, 28, (
**4**), 2018 - Johannes Lohmann, Peter D. Ditlevsen, A consistent statistical model selection of abrupt glacial climate changes, Climate Dynamics, 1-16, 2018
- Ke Wu, Spencer Wheatley, and Didier Sornette, Classification of cryptocurrency coins and tokens by the dynamics of their market capitalizations, Royal Society Open Science, 5, (
**9**), 2018 - Courtney Quinn, Jan Sieber, Anna von der Heydt, Effects of periodic forcing on a Paleoclimate delay model, SIAM Journal of Applied Dynamical Systems, accepted, 2018
- Peter Ashwin, Charles David Camp, Anna S. von der Heydt, Chaotic and non-chaotic response to quasiperiodic forcing: limits to predictability of ice ages paced by Milankovitch forcing, Dynamics and Statistics of the Climate System, 3, (
**1**), 2018 - Janusz Mierczynski, Sylvia Novo, Rafael Obaya, Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations, Discrete and Continuous Dynamical Systems, 38, (
**12**), 6163-6193, 2018 - Carmen Núñez, Rafael Obaya, Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation, Journal of Dynamics and Differential Equations, First online, 2018
- Teresa Faria, Rafael Obaya, Ana M. Sanz, Asymptotic behaviour for a class of non-monotone delay differential systems with applications, Journal of Dynamics and Differential Equations, 30, (
**3**), 911-935, 2018 - Rafael Obaya, Ana M. Sanz, Is uniform persistence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems, Nonlinearity, 31, (
**2**), 388-413, 2018 - Tomas Caraballo, Jose A. Langa, Rafael Obaya, Ana M. Sanz, Global and cocycle attractors for non-autonomous reaction-diffusion equations. The case of null upper Lyapunov exponent, Journal of Differential Equations , 265, (
**9**), 3914-3951, 2018 - Gabriel Fuhrmann, Maik Gröger, Tobias Jäger, Non-smooth saddle-node bifurcations II: Dimensions of strange attractors., Ergodic Theory and Dynamical Systems, 38, (
**8**), 2989-3011, 2018

**2017**

- Thai Son Doan, Kenneth J. Palmer, Martin Rasmussen, The Bohl spectrum for linear nonautonomous differential equations, Journal of Dynamics and Differential Equations, 29, (
**4**), 1459-1485, 2017 - Juan Campos, Rafael Obaya, Massimo Tarallo, Favard theory for the adjoint equation and Fredholm alternative, Journal of Differential Equations, 262, (
**2**), 749-802, 2017 - Anna S. von der Heydt, Peter Ashwin, State-dependence of climate sensitivity: attractor constraints and palaeoclimate regimes, to appear in: Dynamics and Statistics of Climate System, Dyn Stat Clim Syst, (
**1**), dzx001, 2017 - Iacopo P. Longo, Sylvia Novo, Rafael Obaya, Topologies of L^p_loc type for Carathéodory functions with applications in non-autonomous differential equations, J. Differential Equations, 263, (
**11**), 7187-7220, 2017 - Paul Ritchie, Jan Sieber, Probability of noise and rate-induced tipping, Physical Review E, 95, (
**5**), 14, 2017 - Jan Sieber, Local bifurcations in differential equations with state-dependent delay, Chaos , 27, (
**11**), 114326, 2017 - Russell Johnson, Sylvia Novo, Carmen Núñez, Rafael Obaya, Nonautonomous linear-quadratic dissipative control processes without uniform controllability, Journal of Dynamics and Differential Equations, 29, (
**2**), 355-383, 2017 - Ismael Maroto, Carmen Núñez, Rafael Obaya, Dynamical properties of nonautonomous functional differential equations with state-dependent delay, Discrete and Continuous Dynamical Systems, Series A, 37, (
**7**), 3939-3961, 2017 - Ismael Maroto, Carmen Núñez, Rafael Obaya, Exponential stability for nonautonomous functional differential equations with state-dependent delay, Discrete and Continuous Dynamical Systems, Series B, 22, (
**8**), 3167-3197, 2017 - Kathrin Padberg-Gehle, Christiane Schneide, Network-based study of Lagrangian transport and mixing, Nonlinear Processes in Geophysics, 24, 661-671, 2017
- Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger, Set-oriented numerical computation of rotation sets, Journal of Computational Dynamics, 4, 119-141, 2017
- Kathrin Padberg-Gehle, Christiane Schneide, Trajectory-based computational study of coherent behavior in flows, Proceedings in Applied Mathematics and Mechanics, 17, 11-14, 2017
- Jing Wang, Tobias Jäger, Abundance of mode-locking for quasiperiodically forced circle maps, Communications in Mathematical Physics, 353, (
**1**), 1-36, 2017

**2016**

- Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri, Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory And Control, Springer, 2016
- Martin Rasmussen, Alan Hastings, Matthew J. Smith, Folashade B. Agusto, Benito M. Chen-Charpentier, Forrest M. Hoffman, Jiang Jiang, Katherine E. O. Todd-Brown, Ying Wang, Ying-Ping Wang, Yiqi Luo, Transit times and mean ages for nonautonomous and autonomous compartmental systems, Journal of Mathematical Biology, 73, (
**6-7**), 1379-1398, 2016 - Gabriel Fuhrmann, Non-smooth saddle-node bifurcations III: strange attractors in continuous time, Journal of Differential Equations, 261, (
**3**), 2109-2140, 2016 - Jan Sieber, Generic stabilizability for time-delayed feedback control, Proceedings of the Royal Society A, 472, (
**472**), 19, 2016 - Juan Campos, Rafael Obaya, Massimo Tarallo, Recurrent equations with sign and Fredholm alternative, Discrete and Continuous Dynamical Systems S, 9, (
**4**), 959-977, 2016 - Cesar A. Cardoso, Jose A. Langa, Rafael Obaya, Characterization of cocycle attractors for nonautonomous reaction-diffusion equations, International Journal of Bifurcation and Chaos, 26, (
**8**), 1650135, 2016 - Rafael Obaya, Ana M. Sanz, Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson system, Journal of Differential Equations, 261, (
**7**), 4135-4163, 2016 - Juan Campos, Rafael Obaya, Massimo Tarallo, Favrad theory and Fredholm alternative for disconjugate recurrent second order equations, To appear in Communications in Pure and Applied Analysis, 2016
- Roberta Fabbri, Sylvia Novo, Carmen Núñez, Rafael Obaya, Null controllable sets and reachable sets for nonautonomous linear control systems, Discrete and Continuous Dynamical Systems S, 9, (
**4**), 1069-1094, 2016 - Peter Ashwin, Clare Perryman, Sebastian Wieczorek, Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping, Nonlinearity, 30, (
**6**), 2185, 2016 - Nicholas M. Rathmann, Peter D. Ditlevsen, Role of helicity in triad interactions in three-dimensional turbulence investigated by a new shell model, Physical Review E, 94, 33115, 2016
- Zhi-Gang Shao, Peter D. Ditlevsen, Contrasting scaling properties of interglacial and glacial climates, Nature Communications, 7, 10951, 2016
- Istvan Daruka, Peter D. Ditlevsen, A conceptual model for glacial cycles and the middle Pleistocene transition, Climate Dynamics, 46, 29-40, 2016
- Egbert H. van Nes, Babak M.S. Arani, Arie Staal, Bregje van der Bolt, Bernardo M. Flores, Sebastian Bathiany, Marten Scheffer, What do you mean, "Tipping Point"?, Trends in Ecology & Evolution, 31, (
**12**), 902-904, 2016 - Arie Staal, Stefan C. Dekker, Chi Xu, Egbert H. van Nes, Bistability, spatial interaction, and the distribution of tropical forests and savannas, Ecosystems, 19, (
**6**), 1080-1091, 2016 - Ingrid A. van de Leemput, Terry P. Hughes, Egbert H. van Nes, Marten Scheffer, Multiple feedbacks and the prevalence of alternate stable states on coral reefs, Coral Reefs, 35, (
**3**), 857-865, 2016 - M. Usman Mirza, Daanish Mustafa, Access, equity and hazards: highlighting a socially just and ecologically resilient perspective on water resources, in: Sustainable Development and Disaster Risk Reduction, Springer, 143-159, 2016
- Roberta Fabbri, Russell Johnson, Sylvia Novo, Carmen Núñez, Rafael Obaya, Issue on nonautonomous dynamics, Discrete and Continuous Dynamical Systems, Serie S, 9, (
**4**), 2016

**2015**

- Jing Wang, Tobias Jäger, Abundance of mode-locking for quasiperiodically forced circle maps, to appear in: Communications in Mathematical Physics, 2015
- Tomas Caraballo, Jose A. Langa, Rafael Obaya, Pullback, forwards and chaotic dynamics in 1-d non-autonomous linear-dissipative equations, Nonlinearity, 30, (
**1**), 274, 2015 - Peter Ashwin, Peter D. Ditlevsen, The middle Pleistocene transition as a generic bifurcation on a slow manifold, Climate Dynamics, 45, 2683-2695, 2015
- William Giles, Jeroen S. W. Lamb, Dmitry Turaev, On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems, to appear in: Nonlinearity, 2015
- Vinodh Bandaru, Anastasiya Kolchinskaya, Kathrin Padberg-Gehle, Jörg Schumacher, Role of critical points of the skin friction field in formation of plumes in thermal convection, Physical Review E, 92, (
**4**), 43006, 2015 - Gary Froyland, Kathrin Padberg-Gehle, A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data, Chaos, 25, (
**8**), 87406, 2015 - Sina Ober-Bloebaum, Kathrin Padberg-Gehle, Multiobjective optimal control of fluid mixing, Proceedings in Applied Mathematics and Mechanics, 15, (
**1**), 639-640, 2015

## Preprints

- Paul E. O’Keeffe and Sebastian Wieczorek, Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations, , 1-44, 2019
- Swinda K.J. Falkena, Courtney Quinn, Jan Sieber, Jason Frank, Henk A. Dijkstra, Derivation of delay equation climate models using the Mori-Zwanzig Formalism, , 2019
- Zaid Ahsan, Harry Dankowicz, Jan Sieber, Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay, , 2019
- Serhiy Yanchuk, Stefan Ruschel, Jan Sieber, Matthias Wolfrum, Temporal dissipative solitons in time-delay feedback systems, , 2019
- Karl Nyman, Peter Ashwin, Peter Ditlevsen, Bifurcation of critical sets and relaxation oscillations in singular fast-slow systems, , 2019
- Mickael D. Chekroun, Jeroen S.W. Lamb, Christian J. Pangerl, Martin Rasmussen, A Girsanov approach to slow parameterizing manifolds in the presence of noise, , 54, 2019
- Pablo Rodríguez-Sánchez, Egbert H. van Nes, Marten Scheffer, Climbing Escher, , 2019
- Cinzia Elia, Ismael Maroto, Carmen Núñez, Rafael Obaya, Existence of global attractor for a biological neural network modelled by a nonautonomous state-dependent delay differential equation, , 2019
- Ralf Banisch, Peter Koltai, Kathrin Padberg-Gehle, Network measures of mixing, , 2019
- Yuzuru Sato, Kathrin Padberg-Gehle, Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps, , 2019
- Flavia Remo, Gabriel Fuhrmann, Tobias Jäger, On the effect of forcing of fold bifurcations and early-warning signals in population dynamics., , 2019
- Christian Kuehn, Giuseppe Malavolta, Martin Rasmussen, Early-warning signals for bifurcations in random dynamical systems with bounded noise, , 2018
- Pablo Rodríguez-Sánchez, Egbert H. van Nes, Marten Scheffer, Neutral competition boosts chaos in food webs, , 2018
- Courtney Quinn, Jan Sieber, Anna von der Heydt, Effects of periodic forcing on a Paleoclimate delay model, , 15, 2018
- Janusz Mierczynski, Sylvia Novo, Rafael Obaya, Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations, , 2018
- Carmen Núñez, Rafael Obaya, Li-Yorke chaos in nonautonomous Hopf bifurcation patterns I, , 2018
- Troels B. Mikkelsen, Aslak Grinsted, Peter D. Ditlevsen, Influence of temperature fluctuations on equilibrium ice sheet volume, , 2017
- Arianna Marchionne, Peter Ditlevsen, Sebastian Wieczorek, Three types of nonlinear resonances, , 2017
- Kathrin Padberg-Gehle, Christiane Schneide, Network-based study of Lagrangian transport and mixing, , 2017
- Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger, Set-oriented computation of rotation sets, , 2017
- Ke Wu, Spencer Wheatley, Didier Sornette, The British Pound on Brexit Night: A Natural Experiment of Market Efficiency and Real-Time Predictability, , 2017
- Thai Son Doan, Maximilian Engel, Jeroen S.W. Lamb, Martin Rasmussen, Hopf bifurcation with additive noise, , 2017
- Thai Son Doan, Jeroen S.W. Lamb, Julian Newman, Martin Rasmussen, Classification of random circle homeomorphisms up to topological conjugacy, , 2017
- Pablo Rodríguez-Sánchez, The sound of chaos, , 2016
- Maximilian Engel, Jeroen S. W. Lamb, Martin Rasmussen, Bifurcation analysis of a stochastically driven limit cycle, , 2016
- Kathrin Padberg-Gehle, Sebastian Reuther, Simon Praetorius, Axel Voigt, Transfer operator-based extraction of coherent features on surfaces, , 2016
- Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, Yuzuru Sato, A random dynamical systems perspective on stochastic resonance, , 2015