Refereed Articles

Curtu R., Fonley M. (2015) - Nonlinear response in runoff magnitude to fluctuating rain patterns, Chaos 25, 036409, pp. 1-16, doi: 10.1063/1.4913200. Download pdf file.
(The paper was selected by AIP journal editors as one that should be of great interest to reporters. See here the press release.)

Curtu R., Mantilla R., Fonley M., Cunha L.K., Small S.J., Jay L.O., Krajewski W.F. (2014) - An integral-balance nonlinear model to simulate changes in soil moisture, groundwater, and surface runoff dynamics at the hillslope scale, Advances in Water Resources 71, pp. 125 - 139. Download pdf file.

Small S.J., Jay L.O., Mantilla R., Curtu R., Cunha L.K., Fonley M., Krajewski W.F. (2013) - An asynchronous solver for systems of ODEs linked by a directed tree structure, Advances in Water Resources 53, pp. 23 -32. Download pdf file.

Mantilla R., Cunha L.K., Krajewski W.F., Small S.J., Jay L.O., Fonley M., Curtu R. (2012) - Simulation of a distributed flood control system using a parallel asynchronous solver for systems of ODEs, Proceeding Applied Simulation and Modelling / 777: Artificial Intelligence and Soft Computing. DOI: 10.2316/P.2012.776-042. Download pdf file.

Curtu R., Rubin J. (2011) - Interaction of canard and singular Hopf mechanisms in a neural model, SIAM J. Appl. Dyn. Syst., 10(4), pp. 1443 - 1479. Download pdf file.

Curtu R. (2011) - Folded saddle-nodes and their normal form reduction in a neuronal rate model. Mathematics and its Applications/Annals of AOSR, 3(1), pp. 69 - 86. Download pdf file.

Curtu R. (2010) - Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network, Physica D 239, pp.504 - 514. Download pdf file.

Curtu R., Diedrichs D. (2010) - Small-scale modeling approach and circuit wiring of the unfolded protein response in mammalian cells. In ''Advances in Computational Biology'' (Advances in Experimental Medicine and Biology 680; H.R. Arabnia ed.), Springer, chapter 30, pp.261 - 274. Download pdf file.

Curtu R., Shpiro A., Rubin N., Rinzel J. (2008) - Mechanisms for frequency control in neuronal competition models, SIAM J. Appl. Dyn. Syst., 7(2), pp. 609 - 649. Download pdf file.

Curtu R. (2007) - Mechanisms for oscillations in a biological competition model, PAMM Proc. Appl. Math. Mech. 7(1), pp. 2030019 - 2030020. Download pdf file.

Shpiro A., Curtu R., Rinzel J., Rubin N. (2007) - Dynamical characteristics common to neuronal competition models, J. Neurophysiol 97, pp. 462 - 473. Download pdf file.

Golomb D., Shedmi A., Curtu R., Ermentrout B. (2006) - Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: a modeling study, J. Neurophysiol 95, pp. 1049 - 1067. Download pdf file.

Curtu R. (2005) - Nonhyperbolic singularities in a chemical model, Bull. Transilv. Univ. Brasov Ser. B(N.S.), 12(47), pp. 47 - 54. Download pdf file.

Curtu R., Ermentrout B. (2004) - Pattern formation in a network of excitatory and inhibitory cells with adaptation, SIAM J. Appl. Dyn. Syst., 3(3), pp. 191 - 231. Download pdf file.

Osan R., Curtu R., Rubin J., Ermentrout B. (2004) - Multiple-spike waves in a one-dimensional integrate-and-fire neural network, J. Math. Biol. 48, pp. 243-274. Download pdf file.

Osan R., Rubin J., Curtu R., Ermentrout B. (2003) - Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity, Neurocomputing 52-54, pp. 869 - 875. Download pdf file.

Curtu R., Ermentrout B. (2001) - Oscillations in a refractory neural net, J. Math. Biol. 43, pp. 81 - 100. Download pdf file.

Curtu R. (2001) - The static bifurcation diagram for the Gray-Scott model, Intl. J. of Bif. and Chaos 11 (9), pp. 2483 - 2491. Download pdf file.

Refereed Books/Edited Volumes

Curtu R, Jorgensen P.E. (2011) - Acta Appl Math 115 (1) (Eds., pp.121): Nonlinear Waves, Neural Systems and Biomathematics: Special Issue in Memory of Alwyn C. Scott (Editorial Note: Alwyn C. Scott and His Legacy in Nonlinear Science, 1-3). Download pdf file.

Curtu R, Tudor H. (2004) - Mathematical Analysis, Transilvania University Press, Romania (276 pp/ in English) (A course of advanced calculus for engineering students).

Curtu R. (2002) - Dynamics and bifurcations for the Gray-Scott model with uncatalyzed conversion, Transilvania University Press, Romania (240 pp/ in Romanian). ISBN 973-635-070-3 (MR1993249; Zbl 1031.37073).

Curtu R. (2000) - Introduction to dynamical systems theory, Infomarket, Romania (132 pp/ in Romanian). ISBN 973-99827-2-7 (A course for undergraduate and graduate students in mathematics).

PhD Dissertation

Curtu R. (2003) - Waves and Oscillations in Model Neuronal Networks, The University of Pittsburgh. Thesis advisor: Bard Ermentrout



Back to Home