Swarm dynamics and equilibria for a nonlocal aggregation model RC Fetecau, Y Huang, T Kolokolnikov Nonlinearity 24 (10), 2681, 2011 | 188 | 2011 |
An asymptotic analysis of the mean first passage time for narrow escape problems: Part I: Two-dimensional domains S Pillay, MJ Ward, A Peirce, T Kolokolnikov Multiscale Modeling & Simulation 8 (3), 803-835, 2010 | 187 | 2010 |
Stability of ring patterns arising from two-dimensional particle interactions T Kolokolnikov, H Sun, D Uminsky, AL Bertozzi Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 84 (1 …, 2011 | 145* | 2011 |
Optimizing the fundamental Neumann eigenvalue for the Laplacian in a domain with small traps T Kolokolnikov, MS Titcombe, MJ Ward European Journal of Applied Mathematics 16 (2), 161-200, 2005 | 128 | 2005 |
A minimal model of predator–swarm interactions Y Chen, T Kolokolnikov Journal of The Royal Society Interface 11 (94), 20131208, 2014 | 112 | 2014 |
The existence and stability of spike equilibria in the one-dimensional Gray–Scott model: the pulse-splitting regime T Kolokolnikov, MJ Ward, J Wei Physica D: Nonlinear Phenomena 202 (3-4), 258-293, 2005 | 108 | 2005 |
Predicting pattern formation in particle interactions JH Von Brecht, D Uminsky, T Kolokolnikov, AL Bertozzi Mathematical Models and Methods in Applied Sciences 22 (supp01), 1140002, 2012 | 107 | 2012 |
Spot self-replication and dynamics for the Schnakenburg model in a two-dimensional domain T Kolokolnikov, MJ Ward, J Wei Journal of nonlinear science 19, 1-56, 2009 | 91 | 2009 |
Mesa-type patterns in the one-dimensional Brusselator and their stability T Kolokolnikov, T Erneux, J Wei Physica D: Nonlinear Phenomena 214 (1), 63-77, 2006 | 90 | 2006 |
Emergent behaviour in multi-particle systems with non-local interactions T Kolokolnikov, JA Carrillo, A Bertozzi, R Fetecau, M Lewis Physica D: Nonlinear Phenomena 260, 1-4, 2013 | 87 | 2013 |
Ring patterns and their bifurcations in a nonlocal model of biological swarms AL Bertozzi, T Kolokolnikov, H Sun, D Uminsky, J Brecht Communications in Mathematical Sciences 13 (4), 955-985, 2015 | 82 | 2015 |
The Existence and Stability of Spike Equilibria in the One‐Dimensional Gray–Scott Model: The Low Feed‐Rate Regime T Kolokolnikov, MJ Ward, J Wei Studies in Applied Mathematics 115 (1), 21-71, 2005 | 81 | 2005 |
Crime modeling with Lévy flights S Chaturapruek, J Breslau, D Yazdi, T Kolokolnikov, SG McCalla SIAM Journal on Applied Mathematics 73 (4), 1703-1720, 2013 | 77 | 2013 |
The stability of a stripe for the Gierer--Meinhardt model and the effect of saturation T Kolokolnikov, W Sun, M Ward, J Wei SIAM Journal on Applied Dynamical Systems 5 (2), 313-363, 2006 | 77 | 2006 |
Introduction: dissipative localized structures in extended systems M Tlidi, M Taki, T Kolokolnikov Chaos: An Interdisciplinary Journal of Nonlinear Science 17 (3), 2007 | 72 | 2007 |
The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime T Kolokolnikov, M Ward, J Wei arXiv preprint arXiv:1201.3090, 2012 | 71 | 2012 |
Using Maple and the web to grade mathematics tests S Klai, T Kolokolnikov, N Van den Bergh Proceedings International Workshop on Advanced Learning Technologies. IWALT …, 2000 | 57 | 2000 |
Phytoplankton depth profiles and their transitions near the critical sinking velocity T Kolokolnikov, C Ou, Y Yuan Journal of mathematical biology 59, 105-122, 2009 | 51* | 2009 |
The Q-switching instability in passively mode-locked lasers T Kolokolnikov, M Nizette, T Erneux, N Joly, S Bielawski Physica D: Nonlinear Phenomena 219 (1), 13-21, 2006 | 47 | 2006 |
Ring states in swarmalator systems KP O'Keeffe, JHM Evers, T Kolokolnikov Physical Review E 98 (2), 022203, 2018 | 46 | 2018 |