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Thompson, William F., Kuske, Rachel, Monahan, Adam, (2015), "Stochastic averaging of dynamical systems with multiple time scales forced with α-stable noise", Multiscale Modeling and Simulation (SIAM), accepted: . Cited by:
Roberts, Andrew, Gendinning, Paul, (2014), "Canard-like phenomena in piecewise-smooth Van der Pol systems", Chaos, 24, 2: pg: 023138, (DOI: Cited by:
Roberts, Andrew, Widiasih, Esther, Wechselberger, Martin, Jones, Christopher K.R.T., (2015), "Mixed mode oscillations in a conceptual climate model", Physica D: Nonlinear Phenomena, 292–293: pg: 70 - 83, (DOI: Cited by:
Tung, Ka-Kit, Zhou, Jiansong, (2015), "Evidence for a recurrent multi-decadal oscillation in global temperature and possible impacts on 21st century climate projections", Climate Change: Multidecadal and Beyond, World Scientific Series on Asia-Pacific Weather and Climate, World Scientific, 6: pg: 183-202, (DOI: 10.1142/9789814579933_0012). Cited by:
Tung, Ka-Kit, Chen, Xianyao, (2015), "The global-warming slowdown--An energy perspective", Variations, 13, 3: pg: 20-29, . Cited by:
Zhou, Jiansong, Tung, Ka-Kit, Li, King-Fai, (2015), "Multi-decadal Variability in the Greenland Ice Core Records Obtained Using Intrinsic Timescale Decomposition", Climate Dynamics, Submitted: . Cited by:
Chen, Xianyao, Tung, Ka-Kit, (2014), "Varying planetary heat sink led to global-warming slowdown and acceleration", Science, 345, 6199: pg: 897-903, August 22, 2014, (DOI: 10.1126/science.1254937). Cited by:
Alajajian, S. E., Williams, S. E., Reagan, A. J., Alajajian, S. C., Frank, M. R., Mitchell, L., Lahne, J., Danforth, C. M., Dodds, P. S., (2015), "The Lexicocalorimeter: Gauging public health through caloric input and output on social media.", arXiv:1507.05098, : . Cited by:
Louisos, William, Hitt, Darren, Danforth, Christopher M., (2015), "Chaotic Convection in a Toroidal Thermosyphon with Heat Flux Boundaries", International Journal of Heat and Mass Transfer, 88: pg: 492–507, . Cited by:
Frank, Morgan, Mitchell, Lewis, Dodds, Peter Sheridan, Danforth, Christopher M., (2014), "Standing Swells Surveyed Showing Surprisingly Stable Solutions for the Lorenz ’96 Model", International Journal of Bifurcation and Chaos, 24, 10: pg: 1430027, (DOI: 10.1142/S0218127414300274). Cited by:
Chen,Yuxin, Kolokonikov, Theodore, Tzou, Justin, Gai, Chunyi, (2015), "Patterned vegetation, tipping points, and the rate of climate change", European Journal of Applied Mathematics, available on CJO2015: submitted, (DOI: 10.1017/S0956792515000261.). Cited by:
Walsh, J.A., Widiasih, E., Hahn, J., McGehee, R., (2015), "Periodic orbits for a discontinuous vector field arising from a conceptual model of glacial cycles", Nonlinearity, : submitted, . Cited by:
McGehee, R. & Widiasih, E., (2014), "A Quadratic Approximation to Budyko’s Ice-Albedo Feedback Model with Ice Line Dynamics", SIAM J. Applied Dynamical Systems, 13, 1: pg: 518-536, (DOI: 10.1137/120871286). Cited by:
Gurumoorthy, Karthik S, Grudzien, Colin, Apte, Amit, Carrassi, Alberto, Jones, Christopher KRT, (2015), "Rank deficiency of Kalman error covariance matrices in linear perfect model", : (DOI: arXiv:1503.05029). Cited by:
Grudzien, Colin, Jones, Christopher KRT, (2015), "Finding Eigenvalues the Rupert Way", : (DOI: arXiv:1402.3333). Cited by:
Holm, Darryl, (2015), "Variational Principles for Stochastic Fluid Dynamics", Proc Roy Soc A, 471: pg: 20140963, (DOI: 10.1098/rspa.2014.0963). Cited by:
Gowda, K., Chen, Y., Iams, S., Silber, M., (2016), "Assessing the robustness of spatial pattern sequences in a dryland vegetation model", Proceedings of the Royal Society A, 472, 2187: (DOI: 10.1098/rspa.2015.0893). Cited by:
Koll, Daniel D.B., Abbot, Dorian S., (2015), "Deciphering Thermal Phase Curves Of Dry, Tidally Locked Terrestrial Planets", The Astrophysical JournaL, 802: pg: 21, (DOI: 10.1088/0004-637X/802/1/21). Cited by:
Bloch-Johnson, Jonah, Pierrehumbert, Raymond T. Abbot, Dorian S., (2015), "Feedback temperature dependence determines the risk of high warming", Geophysical Research Letters, 42, 12: pg: 4973-4980, (DOI: 10.1002/2015GL064240). Cited by:
Kuehn, Christian, (2015), "Multiple Time Scale Dynamics", Vol. 191, Applied Mathematical Sciences, Springer: ISBN: 978-3-319-12315-8, 978-3-319-12316-5(Online), . Cited by:
Berglund, Nils, Gentz, Barbara, Kuehn, Christian, (2015), "From random Poincaré maps to stochastic mixed-mode-oscillation patterns", Journal of Dynamics and Differential Equations, 27, 1: pg: 83-136, (DOI: 10.1007/s10884-014-9419-5). Cited by:
Kuehn, Christian, (2015), "Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs", Applied Mathematics and Computation, 266: pg: 656-674, (DOI: 10.1016/j.amc.2015.05.120). Cited by:
Vrettas, M., Fung, I., (2015), "Towards a new parametrization of hydraulic conductivity in climate models: (2) Simulation of rapid groundwater fluctuations in Northern California", Journal of Advances in Modeling Earth Systems, submitted: . Cited by:
Vrettas, M., Fung, I., (2015), "Towards a new parametrization of hydraulic conductivity in climate models: (1) Formulation", Journal of Advances in Modeling Earth Systems, submitted: . Cited by:
Kaper, Hans, Engler, Hans, (2014), "Mathematics and Climate", SIAM: Philadelphia, PA, 978-1-611972-60-3, . Cited by:
Kaper, H., Rousseau, C., eds. (2015), "Mathematics of Planet Earth", SIAM: Philadelphia, PA, . Cited by:
Anderies, John M., Kaper, Hans G., Shuckburgh, Emily F., Zagaris, Antonios, (2015), "Introduction to Focus Issue: Nonlinear Dynamics for Planet Earth", CHAOS: An Interdisciplinary Journal of Nonlinear Science, 25, 3: pg: 036201, March, (DOI: 10.1063/1.4915260). Cited by:
Kaper, Hans G., Kaper, Tasso J., Zagaris, Antonios, (2015), "Geometry of the Computational Singular Perturbation Method", Math. Model. Nat. Phenom., 10: pg: 16--30, (DOI: 10.1051/mmnp/201510303). Cited by:
Kaper, Hans G., (2015), "Protecting an Ecosystem as Ocean Levels Rise: MPE in Action", SIAM News, 48, 3: . Cited by:
Roberts, Andrew, Widiasih, Esther, Timmermann, Axel, Jones, Chris K. R. T., Guckenheimer, John, (2015), "Mixed mode oscillations of the El Niño-Southern Oscillation", submitted, : . Cited by:
Mitchell, Lewis, Frank, Morgan R., Harris, Kameron Decker, Dodds, Peter Sheridan, Danforth, Christopher M., (2013), "The Geography of Happiness: Connecting Twitter Sentiment and Expression, Demographics, and Objective Characteristics of Place", PLoS ONE, 8, 5: pg: e64417, may, (DOI: 10.1371/journal.pone.0064417). Cited by:
Cody, Emily M, Reagan, Andrew J, Mitchell, Lewis, Dodds, Peter Sheridan, Danforth, Christopher M, (2015), "Climate change sentiment on Twitter: An unsolicited public opinion poll", PLoS ONE, 10, 8: pg: e0136092, (DOI: 10.1371/journal. pone.0136092). Cited by:
Frank, Morgan R., Mitchell, Lewis, Dodds, Peter Sheridan, Danforth, Christopher M., (2013), "Happiness and the Patterns of Life: A Study of Geolocated Tweets", Scientific Reports, 3, 2625: pg: 1--9, sep, (DOI: 10.1038/srep02625). Cited by:
Mitchell, Lewis, Carrassi, Alberto, (2014), "Accounting for model error due to unresolved scales within ensemble Kalman filtering", Quarterly Journal of the Royal Meteorological Society, 141, 689: pg: 1417–1428, (DOI: 10.1002/qj.2451). Cited by:
Sudakov, I., Vakulenko, S.A., Golden, K.M., (2015), "Arctic melt ponds and bifurcations in the climate system", Communications in Nonlinear Science and Numerical Simulation, 22, 1–3: pg: 70 - 81, (DOI: Cited by:
Hohenegger, C, Alali, B, Steffen, K. R, Perovich, D. K, Golden, K. M, (2012), "Transition in the fractal geometry of Arctic melt ponds", The Cryosphere, 6: pg: 1157-1162, Oct, (DOI: doi:10.5194/tc-6-1157-2012). Cited by:
Gowda, Karna, Kuehn, Christian, (2015), "Early-warning signs for pattern-formation in stochastic partial differential equations", Communications in Nonlinear Science and Numerical Simulation, 22, 1-3: pg: 55--69, (DOI: 10.1016/j.cnsns.2014.09.019). Cited by:
Harris, K. D., Dodds, P. S., Danforth, C. M. (2013), "Dynamical influence processes on networks: General theory and applications to social contagion", Phys. Rev. E, 88: pg: 022816, . Cited by:
Gowda, K., Silber, M., Riecke, H., (2014), "Transitions between patterned states in vegetation models for semiarid ecosystems", Physical Review E, 89: pg: 022701, (DOI: 10.1103/physreve.89.022701). Cited by:
Santitissadeekorn, N., Spiller, E.T., Jones, C.K.R.T., Rutarindwa, R. Liu, L. Ide, K., (2014), "Observing System Simulation Experiments of Cross-Layer Lagrangian Data Assimilation", Dynamics of Atmospheres and Oceans, 66: pg: 77-93, . Cited by:
Dodds, P. S., Harris, K. D., Danforth, C. M. (2013), "Limited Imitation Contagion on Random Networks: Chaos, Universality, and Unpredictability", Phys. Rev. Lett., 110: pg: 158701, (DOI: 10.1103/PhysRevLett.110.158701). Cited by:
Cathles, L. M., Abbot, D. S., MacAyeal, D. R., (2014), "Intra-­surface radiative transfer limits the geographic extent of snow penitentes on horizontal snow fields", Journal of Glaciology, 60: pg: 147-­‐154, (DOI: 10.3189/2014JoG13J124). Cited by:
Bollt, Erik M, Santitissadeekorn, Naratip (2013), "Applied and Computational Measurable Dynamics", Mathematical Modeling and Computation, SIAM: 978-1-61197-263-4, (DOI: 10.1137/1.9781611972641). Cited by:
Berwald, Jesse, Gidea, Marian, (2014), "Critical transitions in a model of a genetic regulatory system", Mathematical Biology and Engineering, 11, 4: pg: 723– 740, (DOI: 10.3934/mbe.2014.11.723). Cited by:
Bellsky, T., Kostelich, E., Mahalov, A., (2014), "Kalman Filter data assimilation: targeted observations and parameter estimation", Chaos, 24, 2: pg: 024406, . Cited by:
Bellsky, T., Doelman, A., Kaper, T., Promislow, K., (2013), "Adiabatic stability under semi-­‐strong interactions: The weakly damped regime", Indiana University Mathematics Journal, 62, 6: pg: 1809-1859, . Cited by:
Bellsky, T., Berwald, J., Mitchell, L., (2014), "Non-­‐global parameter estimation using local ensemble Kalman Filtering", Monthly Weather Review, 142, 6: pg: 2150-2164, . Cited by:
Williams, T. D., Bennetts, L. G., Dumont, D., Squire, V. A., Bertino, L., (2013), "Wave-ice interactions in the marginal ice zone. Part 1: theoretical foundations", Ocean Model., 71: pg: 81--91, . Cited by:
Williams, T. D., Bennetts, L. G., Dumont, D., Squire, V. A., Bertino, L., (2013), "Wave-ice interactions in the marginal ice zone. Part 2: numerical implementation and sensitivity studies along 1D transects of the ocean surface", Ocean Model., 71: pg: 92--101, . Cited by:
Montiel, F., Bonnefoy, F., Ferrant, P., Bennetts, L. G., Squire, V. A., Marsault, P., (2013), "Hydroelastic response of floating elastic disks to regular waves. Part 1: Wave tank experiments", J. Fluid Mech., 723: pg: 604--628, . Cited by:
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