Erneux, Thomas Early models of chemical oscillations failed to provide bounded solutions. (English) Zbl 1404.92227 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170380, 13 p. (2018). MSC: 92E20 PDFBibTeX XMLCite \textit{T. Erneux}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2124, Article ID 20170380, 13 p. (2018; Zbl 1404.92227) Full Text: DOI
Kozyreff, G.; Erneux, T. Singular Hopf bifurcation in a differential equation with large state-dependent delay. (English) Zbl 1353.34086 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2162, Article ID 20130596, 16 p. (2014). MSC: 34K18 34E05 34E15 37G15 34K13 34K26 PDFBibTeX XMLCite \textit{G. Kozyreff} and \textit{T. Erneux}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2162, Article ID 20130596, 16 p. (2014; Zbl 1353.34086) Full Text: DOI
Campbell, Sue Ann; Stone, Emily; Erneux, Thomas Delay induced canards in a model of high speed machining. (English) Zbl 1185.37135 Dyn. Syst. 24, No. 3, 373-392 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G40 70K20 34K19 70F40 PDFBibTeX XMLCite \textit{S. A. Campbell} et al., Dyn. Syst. 24, No. 3, 373--392 (2009; Zbl 1185.37135) Full Text: DOI Link
Erneux, Thomas Applied delay differential equations. (English) Zbl 1201.34002 Surveys and Tutorials in the Applied Mathematical Sciences 3. New York, NY: Springer (ISBN 978-0-387-74371-4/pbk; 978-0-387-74372-1/ebook). xi, 204 p. (2009). Reviewer: A. G. Vladimirov (Berlin) MSC: 34-02 34K60 34K35 34C15 65P30 34K18 34K20 34K13 34K26 PDFBibTeX XMLCite \textit{T. Erneux}, Applied delay differential equations. New York, NY: Springer (2009; Zbl 1201.34002) Full Text: DOI
Erneux, Thomas; Kalmár-Nagy, Tamás Nonlinear stability of a delayed feedback controlled container crane. (English) Zbl 1182.74122 J. Vib. Control 13, No. 5, 603-616 (2007). MSC: 74H55 74M05 93B52 PDFBibTeX XMLCite \textit{T. Erneux} and \textit{T. Kalmár-Nagy}, J. Vib. Control 13, No. 5, 603--616 (2007; Zbl 1182.74122) Full Text: DOI
Kolokolnikov, T.; Erneux, T.; Wei, J. Mesa-type patterns in the one-dimensional Brusselator and their stability. (English) Zbl 1108.35088 Physica D 214, No. 1, 63-77 (2006). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35K57 92C15 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Physica D 214, No. 1, 63--77 (2006; Zbl 1108.35088) Full Text: DOI arXiv
Erneux, Thomas; Larger, Laurent; Lee, Min Won; Goedgebuer, Jean-Pierre Ikeda Hopf bifurcation revisited. (English) Zbl 1099.34065 Physica D 194, No. 1-2, 49-64 (2004). Reviewer: Klaus R. Schneider (Berlin) MSC: 34K18 34E05 78A60 PDFBibTeX XMLCite \textit{T. Erneux} et al., Physica D 194, No. 1--2, 49--64 (2004; Zbl 1099.34065) Full Text: DOI HAL
Kozyreff, Gregory; Erneux, Thomas Singular Hopf bifurcation to strongly pulsating oscillations in lasers containing a saturable absorber. (English) Zbl 1049.78014 Eur. J. Appl. Math. 14, No. 4, 407-420 (2003). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 78A60 34C23 37G10 37G15 PDFBibTeX XMLCite \textit{G. Kozyreff} and \textit{T. Erneux}, Eur. J. Appl. Math. 14, No. 4, 407--420 (2003; Zbl 1049.78014) Full Text: DOI
Erneux, Thomas; Kozyreff, Gregory Nearly vertical Hopf bifurcation for a passively \(Q\)-switched microchip laser. (English) Zbl 0997.78014 J. Stat. Phys. 101, No. 1-2, 543-552 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 78A60 37N20 34C23 PDFBibTeX XMLCite \textit{T. Erneux} and \textit{G. Kozyreff}, J. Stat. Phys. 101, No. 1--2, 543--552 (2000; Zbl 0997.78014) Full Text: DOI
Holden, Lisa; Erneux, Thomas Slow passage through a Hopf bifurcation: From oscillatory to steady state solutions. (English) Zbl 0781.34030 SIAM J. Appl. Math. 53, No. 4, 1045-1058 (1993). MSC: 34C23 34C15 37G15 34E15 37G99 92C45 PDFBibTeX XMLCite \textit{L. Holden} and \textit{T. Erneux}, SIAM J. Appl. Math. 53, No. 4, 1045--1058 (1993; Zbl 0781.34030) Full Text: DOI
Holden, Lisa; Erneux, Thomas Understanding bursting oscillations as periodic slow passages through bifurcation and limit points. (English) Zbl 0769.92013 J. Math. Biol. 31, No. 4, 351-365 (1993). MSC: 92C45 34E10 34C23 PDFBibTeX XMLCite \textit{L. Holden} and \textit{T. Erneux}, J. Math. Biol. 31, No. 4, 351--365 (1993; Zbl 0769.92013) Full Text: DOI
Baer, S. M.; Erneux, T. Singular Hopf bifurcation to relaxation oscillations. II. (English) Zbl 0782.34040 SIAM J. Appl. Math. 52, No. 6, 1651-1664 (1992). Reviewer: Z.Jing (Beijing) MSC: 34C23 34C15 34E15 37G99 37G15 PDFBibTeX XMLCite \textit{S. M. Baer} and \textit{T. Erneux}, SIAM J. Appl. Math. 52, No. 6, 1651--1664 (1992; Zbl 0782.34040) Full Text: DOI
Erneux, T.; Reiss, E. L. Delaying the transition of Hopf bifurcation by slowly varying the bifurcation parameter. (English) Zbl 0707.92010 Spatial inhomogeneities and transient behaviour in chemical kinetics, Proc. Int. Conf., Brussels/Belgium 1987, Proc. Nonlinear Sci., 267-277 (1990). Reviewer: S.Curteanu MSC: 92C45 80A30 92E20 92C30 PDFBibTeX XML
Baer, S. M.; Erneux, T.; Rinzel, J. The slow passage through a Hopf bifurcation: Delay, memory effects, and resonance. (English) Zbl 0683.34039 SIAM J. Appl. Math. 49, No. 1, 55-71 (1989). Reviewer: T.Havarneanu MSC: 34K99 92B05 PDFBibTeX XMLCite \textit{S. M. Baer} et al., SIAM J. Appl. Math. 49, No. 1, 55--71 (1989; Zbl 0683.34039) Full Text: DOI
Baer, S. M.; Erneux, T. Singular Hopf bifurcation to relaxation oscillations. (English) Zbl 0614.92008 SIAM J. Appl. Math. 46, 721-739 (1986). Reviewer: Jing Zhujun MSC: 92Cxx 34D15 34C25 PDFBibTeX XMLCite \textit{S. M. Baer} and \textit{T. Erneux}, SIAM J. Appl. Math. 46, 721--739 (1986; Zbl 0614.92008) Full Text: DOI
Erneux, Thomas; Reiss, Edward L. Splitting of steady multiple eigenvalues may lead to periodic cascading bifurcation. (English) Zbl 0513.76032 SIAM J. Appl. Math. 43, 613-624 (1983). MSC: 76E15 76F10 74G60 76R10 PDFBibTeX XMLCite \textit{T. Erneux} and \textit{E. L. Reiss}, SIAM J. Appl. Math. 43, 613--624 (1983; Zbl 0513.76032) Full Text: DOI