Fiedler, Bernold Global Hopf bifurcation in networks with fast feedback cycles. (English) Zbl 1454.34060 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 177-203 (2021). MSC: 34C15 37G15 05C38 92C40 92C42 PDFBibTeX XMLCite \textit{B. Fiedler}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 177--203 (2021; Zbl 1454.34060) Full Text: DOI arXiv
Brehm, Bernhard; Fiedler, Bernold Sensitivity of chemical reaction networks: A structural approach. 3. regular multimolecular systems. (English) Zbl 1388.82017 Math. Methods Appl. Sci. 41, No. 4, 1344-1376 (2018). MSC: 82C21 82C40 82D30 92C40 82C20 80A32 05C90 PDFBibTeX XMLCite \textit{B. Brehm} and \textit{B. Fiedler}, Math. Methods Appl. Sci. 41, No. 4, 1344--1376 (2018; Zbl 1388.82017) Full Text: DOI arXiv
Mochizuki, Atsushi; Fiedler, Bernold Sensitivity of chemical reaction networks: a structural approach. 1. Examples and the carbon metabolic network. (English) Zbl 1412.92098 J. Theor. Biol. 367, 189-202 (2015). MSC: 92C40 92C42 PDFBibTeX XMLCite \textit{A. Mochizuki} and \textit{B. Fiedler}, J. Theor. Biol. 367, 189--202 (2015; Zbl 1412.92098) Full Text: DOI
Fiedler, Bernold; Mochizuki, Atsushi Sensitivity of chemical reaction networks: a structural approach. 2. Regular monomolecular systems. (English) Zbl 1333.94079 Math. Methods Appl. Sci. 38, No. 16, 3519-3537 (2015). MSC: 94C15 92C40 92C42 PDFBibTeX XMLCite \textit{B. Fiedler} and \textit{A. Mochizuki}, Math. Methods Appl. Sci. 38, No. 16, 3519--3537 (2015; Zbl 1333.94079) Full Text: DOI
Mochizuki, Atsushi; Fiedler, Bernold; Kurosawa, Gen; Saito, Daisuke Dynamics and control at feedback vertex sets. II: A faithful monitor to determine the diversity of molecular activities in regulatory networks. (English) Zbl 1397.92256 J. Theor. Biol. 335, 130-146 (2013). MSC: 92C42 92B25 PDFBibTeX XMLCite \textit{A. Mochizuki} et al., J. Theor. Biol. 335, 130--146 (2013; Zbl 1397.92256) Full Text: DOI
Fiedler, Bernold; Mochizuki, Atsushi; Kurosawa, Gen; Saito, Daisuke Dynamics and control at feedback vertex sets. I: Informative and determining nodes in regulatory networks. (English) Zbl 1337.92074 J. Dyn. Differ. Equations 25, No. 3, 563-604 (2013). MSC: 92C42 05C90 90B10 34D45 PDFBibTeX XMLCite \textit{B. Fiedler} et al., J. Dyn. Differ. Equations 25, No. 3, 563--604 (2013; Zbl 1337.92074) Full Text: DOI
Fiedler, Bernold; Hsu, Sze-Bi Non-periodicity in chemostat equations: a multi-dimensional negative Bendixson-Dulac criterion. (English) Zbl 1231.92061 J. Math. Biol. 59, No. 2, 233-253 (2009). MSC: 92D40 37N25 34D20 34C15 PDFBibTeX XMLCite \textit{B. Fiedler} and \textit{S.-B. Hsu}, J. Math. Biol. 59, No. 2, 233--253 (2009; Zbl 1231.92061) Full Text: DOI
Fiedler, Bernold; Schuppert, Andreas Local identification of scalar hybrid models with tree structure. (English) Zbl 1211.93040 IMA J. Appl. Math. 73, No. 3, 449-476 (2008). MSC: 93B30 92E20 93B15 PDFBibTeX XMLCite \textit{B. Fiedler} and \textit{A. Schuppert}, IMA J. Appl. Math. 73, No. 3, 449--476 (2008; Zbl 1211.93040) Full Text: DOI
Schimansky-Geier, L. (ed.); Fiedler, B. (ed.); Kurths, J. (ed.); Schöll, E. (ed.) Analysis and control of complex nonlinear processes in physics, chemistry and biology. (English) Zbl 1110.82004 World Scientific Lecture Notes in Complex Systems 5. Hackensack, NJ: World Scientific (ISBN 978-981-270-583-9/hbk). xiii, 436 p. (2007). MSC: 82-06 92-06 93-06 37-06 00B15 PDFBibTeX XMLCite \textit{L. Schimansky-Geier} (ed.) et al., Analysis and control of complex nonlinear processes in physics, chemistry and biology. Hackensack, NJ: World Scientific (2007; Zbl 1110.82004)
Fiedler, B.; Efendiev, M. A.; Lerman, L.; Rademacher, J.; Schuppert, A. Stability analysis for reactors from chemical industry. (English) Zbl 1034.92043 Jäger, Willi (ed.) et al., Mathematics – key technology for the future. Joint projects between universities and industry. Berlin: Springer (ISBN 3-540-44220-0/hbk). 175-183 (2003). MSC: 92E20 34D99 PDFBibTeX XMLCite \textit{B. Fiedler} et al., in: Mathematics -- key technology for the future. Joint projects between universities and industry. Berlin: Springer. 175--183 (2003; Zbl 1034.92043)
Fiedler, B.; Efendiev, M.; Schuppert, A. Thermically stable upscaling of an exothermic model reaction. (Thermisch stabiles Upscaling einer exothermen Modellreaktion.) (German) Zbl 0867.76091 Hoffmann, Karl-Heinz (ed.) et al., Mathematik: Schlüsseltechnologie für die Zukunft. Verbundprojekte zwischen Universität und Industrie. Berlin: Springer. 83-90 (1997). MSC: 76V05 80A32 92E20 PDFBibTeX XMLCite \textit{B. Fiedler} et al., in: Mathematik: Schlüsseltechnologie für die Zukunft. Verbundprojekte zwischen Universität und Industrie. Berlin: Springer. 83--90 (1997; Zbl 0867.76091)
Efendiev, M. A.; Fiedler, B.; Schuppert, A. Upscaling of some exothermic reactions from chemical industry. (English) Zbl 0887.92033 Z. Angew. Math. Mech. 76, Suppl. 2, 153-156 (1996). MSC: 92E20 80A30 35Q92 PDFBibTeX XMLCite \textit{M. A. Efendiev} et al., Z. Angew. Math. Mech. 76, 153--156 (1996; Zbl 0887.92033)
Fiedler, Bernold Global Hopf bifurcation for Volterra integral equations. (English) Zbl 0605.45002 SIAM J. Math. Anal. 17, 911-932 (1986). Reviewer: J.M.Cushing MSC: 45G05 45M05 92Cxx 92D25 45L05 PDFBibTeX XMLCite \textit{B. Fiedler}, SIAM J. Math. Anal. 17, 911--932 (1986; Zbl 0605.45002) Full Text: DOI
Fiedler, Bernold Global Hopf bifurcation in porous catalysts. (English) Zbl 0528.35007 Equadiff 82, Proc. int. Conf., Würzburg 1982, Lect. Notes Math. 1017, 177-184 (1983). MSC: 35B32 35K55 35G10 35K25 92Exx 80A20 45M99 47A20 PDFBibTeX XML