Abstract
A problem of frequent interest in the analysis of nonlinear ODE models is the location of equilibrium states and bifurcations. Interval-Newton techniques are explored for identifying, with certainty, all equilibrium states and all codimension-1 and codimension-2 bifurcations of interest within specified model parameter intervals. The methodology is demonstrated using a tritrophic food chain in a chemostat (Canale’s model), and a modification thereof.
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© 2006 Springer-Verlag Berlin Heidelberg
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Gwaltney, C.R., Stadtherr, M.A. (2006). Reliable Computation of Equilibrium States and Bifurcations in Nonlinear Dynamics. In: Dongarra, J., Madsen, K., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2004. Lecture Notes in Computer Science, vol 3732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558958_14
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DOI: https://doi.org/10.1007/11558958_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29067-4
Online ISBN: 978-3-540-33498-9
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