Lessard, Jean-Philippe; Matsue, Kaname; Takayasu, Akitoshi Saddle-type blow-up solutions with computer-assisted proofs: validation and extraction of global nature. (English) Zbl 1518.34010 J. Nonlinear Sci. 33, No. 3, Paper No. 46, 76 p. (2023). MSC: 34A12 34C11 68V05 PDFBibTeX XMLCite \textit{J.-P. Lessard} et al., J. Nonlinear Sci. 33, No. 3, Paper No. 46, 76 p. (2023; Zbl 1518.34010) Full Text: DOI arXiv
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert Spontaneous periodic orbits in the Navier-Stokes flow. (English) Zbl 1475.35247 J. Nonlinear Sci. 31, No. 2, Paper No. 41, 64 p. (2021). Reviewer: Giusy Mazzone (Kingston) MSC: 35Q30 35B06 35B10 35B36 65G20 76D17 68V05 PDFBibTeX XMLCite \textit{J. B. van den Berg} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 41, 64 p. (2021; Zbl 1475.35247) Full Text: DOI arXiv
van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. (English) Zbl 1360.37176 J. Nonlinear Sci. 26, No. 4, 1055-1095 (2016). Reviewer: Carlo Laing (Auckland) MSC: 37M05 34C45 34C37 34C20 65D15 37M20 65P40 PDFBibTeX XMLCite \textit{J. B. van den Berg} et al., J. Nonlinear Sci. 26, No. 4, 1055--1095 (2016; Zbl 1360.37176) Full Text: DOI
Wirth, Benedikt; Gerhard, Johannes; Marquardt, Wolfgang Robust optimisation with normal vectors on critical manifolds of disturbance-induced stability loss. (English) Zbl 1216.90088 J. Nonlinear Sci. 21, No. 1, 57-92 (2011). MSC: 90C31 34D23 34C23 93D09 93B51 PDFBibTeX XMLCite \textit{B. Wirth} et al., J. Nonlinear Sci. 21, No. 1, 57--92 (2011; Zbl 1216.90088) Full Text: DOI