Zhao, Wenqiang; Gu, Anhui Regularity of pullback attractors and random equilibrium for non-autonomous stochastic Fitzhugh-Nagumo system on unbounded domains. (English) Zbl 1451.37096 J. Appl. Anal. Comput. 7, No. 4, 1285-1311 (2017). MSC: 37L55 37L30 37H20 37H30 37H15 PDFBibTeX XMLCite \textit{W. Zhao} and \textit{A. Gu}, J. Appl. Anal. Comput. 7, No. 4, 1285--1311 (2017; Zbl 1451.37096) Full Text: DOI arXiv
Guo, Yong-Feng; Xi, Bei; Wei, Fang; Tan, Jian-Guo Stochastic resonance in Fitzhugh-Nagumo neural system driven by correlated non-Gaussian noise and Gaussian noise. (English) Zbl 1457.92009 Int. J. Mod. Phys. B 31, No. 32, Article ID 1750264, 14 p. (2017). MSC: 92B20 60H40 35Q84 PDFBibTeX XMLCite \textit{Y.-F. Guo} et al., Int. J. Mod. Phys. B 31, No. 32, Article ID 1750264, 14 p. (2017; Zbl 1457.92009) Full Text: DOI
Ford, Neville J.; Lima, Pedro M.; Lumb, Patricia M. Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh-Nagumo equation. (English) Zbl 1411.65019 Appl. Math. Comput. 293, 448-460 (2017). MSC: 65C30 34K50 65L20 60H10 60H35 92C20 PDFBibTeX XMLCite \textit{N. J. Ford} et al., Appl. Math. Comput. 293, 448--460 (2017; Zbl 1411.65019) Full Text: DOI
Karasözen, Bülent; Küçükseyhan, Tuğba; Uzunca, Murat Structure preserving integration and model order reduction of skew-gradient reaction-diffusion systems. (English) Zbl 1387.35353 Ann. Oper. Res. 258, No. 1, 79-106 (2017). MSC: 35K57 65M60 35B36 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Ann. Oper. Res. 258, No. 1, 79--106 (2017; Zbl 1387.35353) Full Text: DOI arXiv
Shepelev, I. A.; Shamshin, D. V.; Strelkova, G. I.; Vadivasova, T. E. Bifurcations of spatiotemporal structures in a medium of FitzHugh-Nagumo neurons with diffusive coupling. (English) Zbl 1380.92012 Chaos Solitons Fractals 104, 153-160 (2017). MSC: 92C20 34C23 34C60 PDFBibTeX XMLCite \textit{I. A. Shepelev} et al., Chaos Solitons Fractals 104, 153--160 (2017; Zbl 1380.92012) Full Text: DOI
Itoh, Makoto; Chua, Leon Chaotic oscillation via edge of chaos criteria. (English) Zbl 1381.34061 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 11, Article ID 1730035, 79 p. (2017). MSC: 34C28 34C15 37C60 34C25 34C23 70K40 PDFBibTeX XMLCite \textit{M. Itoh} and \textit{L. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 11, Article ID 1730035, 79 p. (2017; Zbl 1381.34061) Full Text: DOI
Kajiwara, Takashi A heteroclinic solution to a variational problem corresponding to FitzHugh-Nagumo type reaction-diffusion system with heterogeneity. (English) Zbl 1376.35041 Commun. Pure Appl. Anal. 16, No. 6, 2133-2156 (2017). MSC: 35J50 35K57 PDFBibTeX XMLCite \textit{T. Kajiwara}, Commun. Pure Appl. Anal. 16, No. 6, 2133--2156 (2017; Zbl 1376.35041) Full Text: DOI
Zhang, Zhen; Huang, Jianhua; Pu, Xueke Pullback attractors of FitzHugh-Nagumo system on the time-varying domains. (English) Zbl 1516.35110 Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 3691-3706 (2017). MSC: 35B41 35K57 35K90 37L30 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 3691--3706 (2017; Zbl 1516.35110) Full Text: DOI
Rocşoreanu, Carmen; Sterpu, Mihaela Approximations of the homoclinic orbits near a double-zero bifurcation with symmetry of order two. (English) Zbl 1370.34028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017). MSC: 34A45 34C37 34C20 34C23 PDFBibTeX XMLCite \textit{C. Rocşoreanu} and \textit{M. Sterpu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750109, 10 p. (2017; Zbl 1370.34028) Full Text: DOI
Uzunca, Murat; Küçükseyhan, Tuğba; Yücel, Hamdullah; Karasözen, Bülent Optimal control of convective FitzHugh-Nagumo equation. (English) Zbl 1373.65045 Comput. Math. Appl. 73, No. 9, 2151-2169 (2017). MSC: 65K10 49J20 49M25 PDFBibTeX XMLCite \textit{M. Uzunca} et al., Comput. Math. Appl. 73, No. 9, 2151--2169 (2017; Zbl 1373.65045) Full Text: DOI arXiv
Ambrosio, Benjamin Hopf bifurcation in an oscillatory-excitable reaction-diffusion model with spatial heterogeneity. (English) Zbl 1367.35028 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750065, 13 p. (2017). MSC: 35B32 35B42 35K57 35B25 35B10 35Q92 PDFBibTeX XMLCite \textit{B. Ambrosio}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 5, Article ID 1750065, 13 p. (2017; Zbl 1367.35028) Full Text: DOI arXiv
Ramsay, James; Hooker, Giles Dynamic data analysis. Modeling data with differential equations. (English) Zbl 1382.62001 Springer Series in Statistics. New York, NY: Springer (ISBN 978-1-4939-7188-6/hbk; 978-1-4939-7190-9/ebook). xvii, 230 p. (2017). Reviewer: Mauro Gasparini (Torino) MSC: 62-01 62J02 62P10 62H25 34-01 34C60 92D30 92C45 PDFBibTeX XMLCite \textit{J. Ramsay} and \textit{G. Hooker}, Dynamic data analysis. Modeling data with differential equations. New York, NY: Springer (2017; Zbl 1382.62001) Full Text: DOI
Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh. Two-frequency self-oscillations in a FitzHugh-Nagumo neural network. (English. Russian original) Zbl 1397.34080 Comput. Math. Math. Phys. 57, No. 1, 106-121 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 94-110 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C60 92C20 92B20 34C45 34C46 34D20 34E15 PDFBibTeX XMLCite \textit{S. D. Glyzin} et al., Comput. Math. Math. Phys. 57, No. 1, 106--121 (2017; Zbl 1397.34080); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 94--110 (2017) Full Text: DOI
Gandolfo, Daniel; Rodriguez, Roger; Tuckwell, Henry C. Mean field analysis of large-scale interacting populations of stochastic conductance-based spiking neurons using the Klimontovich method. (English) Zbl 1364.82045 J. Stat. Phys. 166, No. 5, 1310-1333 (2017). MSC: 82C32 35R09 35Q83 35Q84 45K05 65C30 65C05 PDFBibTeX XMLCite \textit{D. Gandolfo} et al., J. Stat. Phys. 166, No. 5, 1310--1333 (2017; Zbl 1364.82045) Full Text: DOI arXiv
Luo, Wei-Hua; Huang, Ting-Zhu; Gu, Xian-Ming; Liu, Yi Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations. (English) Zbl 1361.65082 Appl. Math. Lett. 68, 13-19 (2017). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{W.-H. Luo} et al., Appl. Math. Lett. 68, 13--19 (2017; Zbl 1361.65082) Full Text: DOI
Breiten, Tobias; Kunisch, Karl Compensator design for the monodomain equations with the FitzHugh-Nagumo model. (English) Zbl 1371.35153 ESAIM, Control Optim. Calc. Var. 23, No. 1, 241-262 (2017). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 35K57 93B52 93C20 93D15 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{K. Kunisch}, ESAIM, Control Optim. Calc. Var. 23, No. 1, 241--262 (2017; Zbl 1371.35153) Full Text: DOI