Sun, Wenlong; Han, Xiaoying; Kloeden, Peter E. Approximation of the heaviside function by sigmoidal functions in reaction-diffusion equations. (English) Zbl 07784302 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107656, 18 p. (2024). MSC: 34A34 34A36 34A60 35A05 34D45 PDFBibTeX XMLCite \textit{W. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107656, 18 p. (2024; Zbl 07784302) Full Text: DOI
Elia, Cinzia; Maroto, Ismael; Núñez, Carmen; Obaya, Rafael Existence of global attractor for a nonautonomous state-dependent delay differential equation of neuronal type. (English) Zbl 1476.37041 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104874, 23 p. (2019). MSC: 37C60 92B20 34D45 34K20 PDFBibTeX XMLCite \textit{C. Elia} et al., Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104874, 23 p. (2019; Zbl 1476.37041) Full Text: DOI arXiv
Wang, Lei; Teng, Zhidong; Zhang, Tailei Threshold dynamics of a malaria transmission model in periodic environment. (English) Zbl 1274.92050 Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1288-1303 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{L. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1288--1303 (2013; Zbl 1274.92050) Full Text: DOI
Zhang, Jia-Zhong; Liu, Yan; Feng, Pei-Hua Approximate inertial manifolds of Burgers equation approached by nonlinear Galerkin’s procedure and its application. (English) Zbl 1231.65171 Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4666-4670 (2011). MSC: 65M60 35Q53 37C70 PDFBibTeX XMLCite \textit{J.-Z. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4666--4670 (2011; Zbl 1231.65171) Full Text: DOI
Li, Hong-Yan; Zhou, Sheng-Fan One-dimensional attractor for a strongly damped lattice system. (English) Zbl 1221.37161 Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2702-2708 (2009). MSC: 37L60 37L30 PDFBibTeX XMLCite \textit{H.-Y. Li} and \textit{S.-F. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 6, 2702--2708 (2009; Zbl 1221.37161) Full Text: DOI
Li, Hongyan; Zhou, Shengfan One-dimensional global attractor for strongly damped wave equations. (English) Zbl 1111.35088 Commun. Nonlinear Sci. Numer. Simul. 12, No. 5, 784-793 (2007). MSC: 35Q72 37L30 PDFBibTeX XMLCite \textit{H. Li} and \textit{S. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 5, 784--793 (2007; Zbl 1111.35088) Full Text: DOI
Luo, Albert C. J. A theory for \(n\)-dimensional nonlinear dynamics on continuous vector fields. (English) Zbl 1146.37018 Commun. Nonlinear Sci. Numer. Simul. 12, No. 2, 117-194 (2007); corrigendum 12, No. 7, 1351-1354 (2007). Reviewer: Douglas S. Shafer (Charlotte) MSC: 37C10 34C05 34C28 37J40 PDFBibTeX XMLCite \textit{A. C. J. Luo}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 2, 117--194 (2007; Zbl 1146.37018) Full Text: DOI
Liu, Xianning; Chen, Lansun Global behavior of a generalized periodic impulsive logistic system with nonlinear density dependence. (English) Zbl 1070.34067 Commun. Nonlinear Sci. Numer. Simul. 10, No. 3, 329-340 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 34C25 34A37 34D45 PDFBibTeX XMLCite \textit{X. Liu} and \textit{L. Chen}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 3, 329--340 (2005; Zbl 1070.34067) Full Text: DOI
Fang, Shaomei Long time behavior for damped generalized coupled nonlinear wave equations. I: Bounded domain. (English) Zbl 0983.35114 Commun. Nonlinear Sci. Numer. Simul. 6, No. 2, 102-106 (2001). MSC: 35Q53 37L30 PDFBibTeX XMLCite \textit{S. Fang}, Commun. Nonlinear Sci. Numer. Simul. 6, No. 2, 102--106 (2001; Zbl 0983.35114) Full Text: DOI
Ma, Dacai; Jiang, Murong Finite dimension of global attractor of nonlinear strain waves in elastic waveguides. (English) Zbl 0924.35178 Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 173-176 (1998). MSC: 35Q72 74J10 37C70 PDFBibTeX XMLCite \textit{D. Ma} and \textit{M. Jiang}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 173--176 (1998; Zbl 0924.35178) Full Text: DOI
Guo, Boling; Huang, Haiyang On the Burgers-Ginzburg-Landau equations. (English) Zbl 0923.35165 Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 143-147 (1998). MSC: 35Q55 37C70 PDFBibTeX XMLCite \textit{B. Guo} and \textit{H. Huang}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 3, 143--147 (1998; Zbl 0923.35165) Full Text: DOI
Huang, Haiyang On the higher-order nonlinear Ginzburg-Landau system in \(n\) spatial dimensions. (English) Zbl 0922.35161 Commun. Nonlinear Sci. Numer. Simul. 3, No. 1, 15-19 (1998). MSC: 35Q55 35D05 37C70 PDFBibTeX XMLCite \textit{H. Huang}, Commun. Nonlinear Sci. Numer. Simul. 3, No. 1, 15--19 (1998; Zbl 0922.35161) Full Text: DOI
Lin, Yuanqu Dynamical behavior for a cross-diffusion model of forest. (English) Zbl 0923.35191 Commun. Nonlinear Sci. Numer. Simul. 2, No. 4, electronic paper No. 13 (1997). MSC: 35Q80 92D25 37D45 35K05 PDFBibTeX XMLCite \textit{Y. Lin}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 4, electronic paper No. 13 (1997; Zbl 0923.35191)
Qin, Wen-Xin Numerical dynamics of coupled system of J-J type. (English) Zbl 0924.65060 Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 1 (1997). MSC: 65L05 37D45 34E10 PDFBibTeX XMLCite \textit{W.-X. Qin}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 3, electronic paper No. 1 (1997; Zbl 0924.65060) Full Text: DOI
Qian, Min; Zhu, Shu Dynamics in a system of coupled oscillators. (English) Zbl 0936.70019 Commun. Nonlinear Sci. Numer. Simul. 2, No. 1, electronic paper No. 2 (1997). MSC: 70K30 PDFBibTeX XMLCite \textit{M. Qian} and \textit{S. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 2, No. 1, electronic paper No. 2 (1997; Zbl 0936.70019)
Guo, Boling; Wang, Bixiang Upper semicontinuity of attractors for the reaction diffusion equation. (English) Zbl 0919.35059 Commun. Nonlinear Sci. Numer. Simul. 1, No. 2, electronic paper No. 10 (1996). MSC: 35K57 35B30 37D45 PDFBibTeX XMLCite \textit{B. Guo} and \textit{B. Wang}, Commun. Nonlinear Sci. Numer. Simul. 1, No. 2, electronic paper No. 10 (1996; Zbl 0919.35059) Full Text: DOI
Guo, Boling; Gao, Hongjun Global attractor for axially symmetric Kuramoto-Sivashinsky equation in annular domains. (English) Zbl 0919.35115 Commun. Nonlinear Sci. Numer. Simul. 1, No. 2, electronic paper No. 9 (1996). MSC: 35Q53 37C70 PDFBibTeX XMLCite \textit{B. Guo} and \textit{H. Gao}, Commun. Nonlinear Sci. Numer. Simul. 1, No. 2, electronic paper No. 9 (1996; Zbl 0919.35115)