Lipp, Genevieve M.; Mann, Brian P. Dynamics of an eccentric disk on a curved surface. (English) Zbl 1302.70013 Physica D 266, 34-41 (2014). MSC: 70E18 70F25 PDFBibTeX XMLCite \textit{G. M. Lipp} and \textit{B. P. Mann}, Physica D 266, 34--41 (2014; Zbl 1302.70013) Full Text: DOI
Khasawneh, Firas A.; Barton, David A. W.; Mann, Brian P. Periodic solutions of nonlinear delay differential equations using spectral element method. (English) Zbl 1246.65102 Nonlinear Dyn. 67, No. 1, 641-658 (2012). MSC: 65L03 65L60 65L20 65L12 65L50 34K28 PDFBibTeX XMLCite \textit{F. A. Khasawneh} et al., Nonlinear Dyn. 67, No. 1, 641--658 (2012; Zbl 1246.65102) Full Text: DOI
Khasawneh, Firas A.; Mann, Brian P. A spectral element approach for the stability of delay systems. (English) Zbl 1242.70007 Int. J. Numer. Methods Eng. 87, No. 6, 566-592 (2011). MSC: 70-08 70J25 65L60 PDFBibTeX XMLCite \textit{F. A. Khasawneh} and \textit{B. P. Mann}, Int. J. Numer. Methods Eng. 87, No. 6, 566--592 (2011; Zbl 1242.70007) Full Text: DOI
Khasawneh, Firas A.; Mann, Brian P. Stability of delay integro-differential equations using a spectral element method. (English) Zbl 1235.65084 Math. Comput. Modelling 54, No. 9-10, 2493-2503 (2011). MSC: 65L20 34K20 45J05 45M10 65L60 PDFBibTeX XMLCite \textit{F. A. Khasawneh} and \textit{B. P. Mann}, Math. Comput. Modelling 54, No. 9--10, 2493--2503 (2011; Zbl 1235.65084) Full Text: DOI
Khasawneh, Firas A.; Mann, Brian P.; Butcher, Eric A. A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities. (English) Zbl 1222.65079 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4408-4421 (2011). MSC: 65L60 65L05 34K28 65L20 34K13 34K06 65L03 PDFBibTeX XMLCite \textit{F. A. Khasawneh} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4408--4421 (2011; Zbl 1222.65079) Full Text: DOI
Chicone, Carmen; Felts, Kenny; Mann, Brian Observation and investigation of a non-monotonic period function for an impact oscillator. (English) Zbl 1221.70029 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2415-2425 (2009). MSC: 70K40 70-05 PDFBibTeX XMLCite \textit{C. Chicone} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 2415--2425 (2009; Zbl 1221.70029) Full Text: DOI
Mann, B. P.; Carter, R. E.; Hazra, S. S. Experimental study of an impact oscillator with viscoelastic and Hertzian contact. (English) Zbl 1177.70003 Nonlinear Dyn. 50, No. 3, 587-596 (2007). MSC: 70-05 70F35 PDFBibTeX XMLCite \textit{B. P. Mann} et al., Nonlinear Dyn. 50, No. 3, 587--596 (2007; Zbl 1177.70003) Full Text: DOI
Mann, Brian P.; Young, Keith A. An empirical approach for delayed oscillator stability and parametric identification. (English) Zbl 1149.70323 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2145-2160 (2006). MSC: 70K20 93B30 PDFBibTeX XMLCite \textit{B. P. Mann} and \textit{K. A. Young}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2071, 2145--2160 (2006; Zbl 1149.70323) Full Text: DOI