## PUBLICATIONS

**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. - Paul Ritchie, Jan Sieber,
*Probability of noise and rate-induced tipping*, Physical Review E, 14, 2017.

**2016**

- Russell Johnson, Rafael Obaya, Sylvia Novo, Carmen Núñez, Roberta Fabbri,
*Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory And Control*, Springer, 2016. - Pablo Rodríguez-Sánchez,
*The sound of chaos*, 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. - 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. - 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.

**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. - 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

**2017**

- Troels B. Mikkelsen, Aslak Grinsted, Peter D. Ditlevsen,
*Influence of temperature fluctuations on equilibrium ice sheet volume*. - Arianna Marchionne, Peter Ditlevsen, Sebastian Wieczorek,
*Three types of nonlinear resonances*. - Jan Sieber, Christian Marschler, Jens Starke,
*Convergence of equation-free methods in the case of finite time scale separation with application to stochastic systems*, 33. - Rafael Obaya, Ana M. Sanz,
*Is uniform persistence a robust property in almost periodic models? A well-behaved family: almost-periodic Nicholson systems*. - Ismael Maroto, Carmen Núñez, Rafael Obaya,
*Existence of global attractor for a biological neural network modelized by a non-autonomous state-dependent delay differential equation*. - Katja Polotzek, Kathrin Padberg-Gehle, Tobias Jäger,
*Set-oriented computation of rotation sets*. - Damian Smug, Peter Ashwin, Didier Sornette,
*Predicting Financial Market Crashes Using Ghost Singularities*. - Ke Wu, Spencer Wheatley, Didier Sornette,
*The British Pound on Brexit Night: A Natural Experiment of Market Efficiency and Real-Time Predictability*.

**2016**

- Thai Son Doan, Kenneth J. Palmer, Martin Rasmussen,
*The Bohl spectrum for linear nonautonomous differential equations*, Journal of Dynamics and Differential Equations. - Maximilian Engel, Jeroen S. W. Lamb, Martin Rasmussen,
*Bifurcation analysis of a stochastically driven limit cycle*. - Russell Johnson, Sylvia Novo, Carmen Núñez, Rafael Obaya,
*Nonautonomous linear-quadratic dissipative control processes without uniform null controllability*, to appear in: Journal of Dynamics and Differential Equations. - Ismael Maroto, Carmen Núñez, Rafael Obaya,
*Dynamical properties of nonautonomous functional differential equations with state-dependent delay*, To appear in Discrete and Continuous Dynamical Systems A. - 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. - Ismael Maroto, Carmen Núñez, Rafael Obaya,
*Exponential stability for nonautonomous functional differential equations with state-dependent delay*, To appear in Discrete and Continuous Dynamical Systems B. - Peter Ashwin, Clare Perryman, Sebastian Wieczorek,
*Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping*, Nonlinearity, 30 (**6**), 2185. - Iacopo P. Longo, Sylvia Novo, Rafael Obaya,
*Topologies of L^p_loc type for Carathéodory functions with applications in non-autonomous differential equations*. - Teresa Faria, Rafael Obaya, Ana M. Sanz,
*Asymptotic behaviour of non-monotone delay differential systems with applications*, to appear in: Journal of Dynamics and Differential Equations. - Kathrin Padberg-Gehle, Sebastian Reuther, Simon Praetorius, Axel Voigt,
*Transfer operator-based extraction of coherent features on surfaces*.

**2015**

- Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, Yuzuru Sato,
*A random dynamical systems perspective on stochastic resonance*. - Jing Wang, Tobias Jäger,
*Abundance of mode-locking for quasiperiodically forced circle maps*, to appear in: Communications in Mathematical Physics. - 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.