Hopf bifurcation from infinity
Marco Sabatini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Bifurcation and total stability”
Hopf bifurcation from infinity
Combining stability with symmetry properties in bifurcation problems
G. Cicogna (1986)
Rendiconti del Seminario Matematico della Università di Padova
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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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Bifurcation of closed orbits from a limit cycle in
Vinicio Moauro (1981)
Rendiconti del Seminario Matematico della Università di Padova
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On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission.
El-Sheikh, M.M.A., El-Marouf, S.A.A. (2004)
International Journal of Mathematics and Mathematical Sciences
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Asset price dynamics in a financial market with fundamentalists and chartists.
Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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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.
A simple model of thermoelectric oscillations
Giovanni Cimatti, Eduard Feireisl (1995)
Applications of Mathematics
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A system of ordinary differential equations modelling an electric circuit with a thermistor is considered. Qualitative properties of solution are studied, in particular, the existence and nonexistence of time-periodic solutions (the Hopf bifurcation).
Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system
Hongtao Liang, Yanxia Tang, Li Li, Zhouchao Wei, Zhen Wang (2013)
Kybernetika
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In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.