2019

• 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, 31, (3), 1617-1651, 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, Proceedings of the Royal Society A, 475, (2227), 2019
• Courtney Quinn, Jan Sieber, Anna von der Heydt, Effects of periodic forcing on a Paleoclimate delay model, SIAM Journal of Applied Dynamical Systems, accepted, (18), 1060-1077, 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
• Serhiy Yanchuk, Stefan Ruschel, Jan Sieber, Matthias Wolfrum, Temporal dissipative solitons in time-delay feedback systems, Physical Review Letters, 123, (53901), 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, 39, (9), 5491–5520, 2019
• Ralf Banisch, Peter Koltai, Kathrin Padberg-Gehle, Network measures of mixing, Chaos, 29, (6), 63125, 2019
• Jing Wang, Qi Zhou, Tobias Jäger, Genericity of mode-locking for quasiperiodically forced circle maps, Advances in Mathematics (to appear), 2019
• L. Renson, J. Sieber, D.A.W. Barton, A. D. Shaw, S. A. Neild, Numerical continuation in nonlinear experiments using local Gaussian process regression, Nonlinear Dynamics, 1-16, 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, Communications in Nonlinear Sciences and Numerical Simulation, 78, (November), 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, 24, (8), 3947-3970, 2019
• Carmen Núñez, Rafael Obaya, Li-Yorke chaos in nonautonomous Hopf bifurcation patterns – I , Nonlinearity, 32, (10), 3940-3980, 2019
• Carmen Núñez, Rafael Obaya, Non-Atkinson perturbations of nonautonomous linear Hamiltonian systems: exponential dichotomy and nonoscillation, Journal of Dynamics and Differential Equations , 31, 1397-1426, 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
• 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
• 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
• 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
• 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
• 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
• Ismael Maroto, Carmen Núñez, Rafael Obaya, Exponential stability for nonautonomous functional differential equations with state-dependent delay, Discrete and Continuous Dynamical Systems, Serie B , 22, (8), 3167-3197, 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
• Juan Campos, Rafael Obaya, Massimo Tarallo, Favard theory for the adjoint equation and Fredholm alternative , Journal of Differential Equations, 262, (2), 749-802, 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
• 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
• 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), 1069-10949, 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
• Zaid Ahsan, Harry Dankowicz, Jan Sieber, Optimization along Families of Periodic and Quasiperiodic Orbits in Dynamical Systems with Delay, , 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
• 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
• Roberta Fabbri, Carmen Núñez, On the solvability of the Yakubovich linear-quadratic infinite horizon minimization problem, , 2019
• Jose Antonio Langa, Rafael Obaya and Ana María Sanz, Pullback and forwards attractivity for nonautonomous linear-dissipative parabolic differential equations. The case of null upper Lyapunov exponent., , 2019
• Moussa Ndour; Kathrin Padberg-Gehle, Predicting bifurcations of almost-invariant patterns: a set-oriented approach, , 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
• 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