Winkler, Michael Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration-consumption interaction. (English) Zbl 1525.35040 Nonlinearity 36, No. 8, 4438-4469 (2023). Reviewer: Philippe Laurençot (Chambéry) MSC: 35B40 35K65 35K20 35B35 35Q92 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinearity 36, No. 8, 4438--4469 (2023; Zbl 1525.35040) Full Text: DOI
Sudakow, Ivan; Vakulenko, Sergey A.; Grigoriev, Dima Excitable media store and transfer complicated information via topological defect motion. (English) Zbl 1501.35133 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106844, 11 p. (2023). MSC: 35G61 35B41 35C07 35Q56 PDFBibTeX XMLCite \textit{I. Sudakow} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106844, 11 p. (2023; Zbl 1501.35133) Full Text: DOI
Poláčik, Peter; Valdebenito, Darío A. Some generic properties of Schrödinger operators with radial potentials. (English) Zbl 1436.35099 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1435-1451 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J10 35P99 47A75 47A55 PDFBibTeX XMLCite \textit{P. Poláčik} and \textit{D. A. Valdebenito}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 6, 1435--1451 (2019; Zbl 1436.35099) Full Text: DOI Link
Vakulenko, Sergey Complex attractors and patterns in reaction-diffusion systems. (English) Zbl 1406.35051 J. Dyn. Differ. Equations 30, No. 1, 175-207 (2018). Reviewer: Anna Ghazaryan (Oxford, OH) MSC: 35B36 37L25 35K57 35K55 35B40 35B42 35B30 35B41 35B25 PDFBibTeX XMLCite \textit{S. Vakulenko}, J. Dyn. Differ. Equations 30, No. 1, 175--207 (2018; Zbl 1406.35051) Full Text: DOI
Vakulenko, S.; Grigoriev, D.; Weber, A. Reduction methods and chaos for quadratic systems of differential equations. (English) Zbl 1359.92036 Stud. Appl. Math. 135, No. 3, 225-247 (2015). MSC: 92C40 92D25 34A34 PDFBibTeX XMLCite \textit{S. Vakulenko} et al., Stud. Appl. Math. 135, No. 3, 225--247 (2015; Zbl 1359.92036) Full Text: DOI Link
Fiedler, Bernold; Rocha, Carlos Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems. (English) Zbl 1375.35259 J. Dyn. Differ. Equations 27, No. 3-4, 597-626 (2015). MSC: 35K59 35A24 35K20 35K57 PDFBibTeX XMLCite \textit{B. Fiedler} and \textit{C. Rocha}, J. Dyn. Differ. Equations 27, No. 3--4, 597--626 (2015; Zbl 1375.35259) Full Text: DOI
Kening, Lu; Wang, Qiudong; Young, Lai-Sang Strange attractors for periodically forced parabolic equations. (English) Zbl 1341.37050 Mem. Am. Math. Soc. 1054, v, 85 p. (2013). MSC: 37L30 37D45 37G10 PDFBibTeX XMLCite \textit{L. Kening} et al., Strange attractors for periodically forced parabolic equations. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1341.37050) Full Text: DOI
Hang, Fengbo; Jiang, Huiqiang A remark on the existence of suitable vector fields related to the dynamics of scalar semi-linear parabolic equations. (English) Zbl 1102.35054 Proc. Am. Math. Soc. 134, No. 9, 2633-2637 (2006). Reviewer: Peter Poláčik (Minneapolis) MSC: 35K60 35K20 35B40 54F65 PDFBibTeX XMLCite \textit{F. Hang} and \textit{H. Jiang}, Proc. Am. Math. Soc. 134, No. 9, 2633--2637 (2006; Zbl 1102.35054) Full Text: DOI arXiv
Vakulenko, S.; Volpert, V. Generalized travelling waves for perturbed monotone reaction-diffusion systems. (English) Zbl 0990.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 6, 757-776 (2001). Reviewer: Pei-xuan Weng (Guangzhou) MSC: 35K57 PDFBibTeX XMLCite \textit{S. Vakulenko} and \textit{V. Volpert}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 6, 757--776 (2001; Zbl 0990.35067) Full Text: DOI
Prizzi, Martino Realizing vector fields without loss of derivatives. (English) Zbl 0937.35090 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 2, 289-307 (1998). Reviewer: P.Polacik (Bratislava) MSC: 35K60 37L10 34C30 PDFBibTeX XMLCite \textit{M. Prizzi}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 27, No. 2, 289--307(1999) (1998; Zbl 0937.35090) Full Text: Numdam EuDML
Prizzi, Martino; Rybakowski, Krzysztof P. Complicated dynamics of parabolic equations with simple gradient dependence. (English) Zbl 0897.35040 Trans. Am. Math. Soc. 350, No. 8, 3119-3130 (1998). MSC: 35K60 37D45 35B05 35K55 35B40 PDFBibTeX XMLCite \textit{M. Prizzi} and \textit{K. P. Rybakowski}, Trans. Am. Math. Soc. 350, No. 8, 3119--3130 (1998; Zbl 0897.35040) Full Text: DOI
Prizzi, Martino; Rybakowski, Krzysztof P. Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains. (English) Zbl 0915.35059 J. Differ. Equations 142, No. 1, 17-53 (1998). Reviewer: P.Polacik (Bratislava) MSC: 35K60 35R30 37D45 34G20 PDFBibTeX XMLCite \textit{M. Prizzi} and \textit{K. P. Rybakowski}, J. Differ. Equations 142, No. 1, 17--53 (1998; Zbl 0915.35059) Full Text: DOI
Poláčik, Peter; Rybakowski, Krzysztof Imbedding vector fields in scalar parabolic Dirichlet BVPs. (English) Zbl 0852.35074 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 4, 737-749 (1995). Reviewer: B.Scarpellini (Basel) MSC: 35K60 34C30 PDFBibTeX XMLCite \textit{P. Poláčik} and \textit{K. Rybakowski}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 4, 737--749 (1995; Zbl 0852.35074) Full Text: Numdam EuDML