Kolokolnikov, Theodore; Ticknor, Chris; Kevrekidis, Panayotis Toroidal vortex filament knots and links: existence, stability and dynamics. (English) Zbl 1461.76086 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2403-2427 (2020). MSC: 76B47 76E99 35Q35 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2403--2427 (2020; Zbl 1461.76086) Full Text: DOI arXiv
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore; Rumsey, John Spike dynamics in the presence of noise. (English) Zbl 1466.60118 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2783-2802 (2020). MSC: 60H10 60H15 82C31 92C20 PDFBibTeX XMLCite \textit{C. Gai} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2783--2802 (2020; Zbl 1466.60118) Full Text: DOI
Evers, Joep H. M.; Fetecau, Razvan C.; Kolokolnikov, Theodore Equilibria for an aggregation model with two species. (English) Zbl 1387.35587 SIAM J. Appl. Dyn. Syst. 16, No. 4, 2287-2338 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35B36 35B40 35A15 35B20 92C15 35B35 PDFBibTeX XMLCite \textit{J. H. M. Evers} et al., SIAM J. Appl. Dyn. Syst. 16, No. 4, 2287--2338 (2017; Zbl 1387.35587) Full Text: DOI arXiv
Tzou, J. C.; Xie, S.; Kolokolnikov, T.; Ward, M. J. The stability and slow dynamics of localized spot patterns for the 3-D Schnakenberg reaction-diffusion model. (English) Zbl 1434.35019 SIAM J. Appl. Dyn. Syst. 16, No. 1, 294-336 (2017). MSC: 35K51 35K57 35K58 35B35 35B36 35B40 35C20 PDFBibTeX XMLCite \textit{J. C. Tzou} et al., SIAM J. Appl. Dyn. Syst. 16, No. 1, 294--336 (2017; Zbl 1434.35019) Full Text: DOI
Evers, Joep H. M.; Kolokolnikov, Theodore Metastable states for an aggregation model with noise. (English) Zbl 1359.35201 SIAM J. Appl. Dyn. Syst. 15, No. 4, 2213-2226 (2016). MSC: 35Q92 35B40 35B20 35B36 60J60 65N75 92C15 PDFBibTeX XMLCite \textit{J. H. M. Evers} and \textit{T. Kolokolnikov}, SIAM J. Appl. Dyn. Syst. 15, No. 4, 2213--2226 (2016; Zbl 1359.35201) Full Text: DOI arXiv
Tzou, J. C.; Kevrekidis, P. G.; Kolokolnikov, T.; Carretero-González, R. Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation. (English) Zbl 1342.35355 SIAM J. Appl. Dyn. Syst. 15, No. 2, 904-922 (2016). MSC: 35Q55 76M23 76A25 81R40 82B10 PDFBibTeX XMLCite \textit{J. C. Tzou} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 904--922 (2016; Zbl 1342.35355) Full Text: DOI arXiv
Kolokolnikov, Theodore; Ren, Xiaofeng Smoke-ring solutions of Gierer-Meinhardt system in \(\mathbb{R}^{3}\). (English) Zbl 1219.35329 SIAM J. Appl. Dyn. Syst. 10, No. 1, 251-277 (2011). Reviewer: Yaping Liu (Pittsburg) MSC: 35Q92 35B40 35J08 35J47 PDFBibTeX XMLCite \textit{T. Kolokolnikov} and \textit{X. Ren}, SIAM J. Appl. Dyn. Syst. 10, No. 1, 251--277 (2011; Zbl 1219.35329) Full Text: DOI
Kolokolnikov, Theodore; Sun, Wentao; Ward, Michael; Wei, Juncheng The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation. (English) Zbl 1210.35016 SIAM J. Appl. Dyn. Syst. 5, No. 2, 313-363 (2006). MSC: 35B25 35K57 35P30 37N25 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., SIAM J. Appl. Dyn. Syst. 5, No. 2, 313--363 (2006; Zbl 1210.35016) Full Text: DOI Link