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.
- Kathrin Padberg-Gehle, Christiane Schneide, Network-based study of Lagrangian transport and mixing.
- 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.