The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
Milan Medveď (1985)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Phase portraits of planar vector fields: Computer proofs.”
The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
On a codimension 3 bifurcation of plane vector fields with symmetry
Milan Medveď (1990)
Czechoslovak Mathematical Journal
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The Bifurcation Set and Logarithmic Vector Fields.
Hiroaki Terao (1983)
Mathematische Annalen
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One-Parameter Bifurcation Analysis of Dynamical Systems using Maple
Borisov, Milen, Dimitrova, Neli (2010)
Serdica Journal of Computing
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This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities. * This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.
Bifurcation analysis of a van der Pol-Duffing circuit with parallel resistor.
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Generalized Hopf bifurcations and applications to planar quadratic systems
C. Rousseau, D. Schlomiuk (1988)
Annales Polonici Mathematici
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Hopf bifurcation from infinity
Marco Sabatini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Local Bifurcations in a Nonlinear Model of a Bioreactor
Dimitrova, Neli (2009)
Serdica Journal of Computing
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This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02– 359/2008. We consider a nonlinear model of a continuously stirred bioreactor and study the stability of the equilibrium points with respect to practically important model parameters. We determine regions in the parameter space where the steady states undergo transcritical and Hopf bifurcations. In the latter case, the stability of the emerged limit cycles is also studied. Numerical simulations...