Bifurcation diagram of a cubic three-parameter autonomous system.
Baráková, Lenka, Volokitin, Evgenii P. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Baráková, Lenka, Volokitin, Evgenii P. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Chiarella, Carl, Dieci, Roberto, Gardini, Laura (2001)
Discrete Dynamics in Nature and Society
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Marik, Robert, Pribylova, Lenka (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
Tramontana, Fabio, Gardini, Laura, Dieci, Roberto, Westerhoff, Frank (2009)
Discrete Dynamics in Nature and Society
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Asada, Toichiro, Douskos, Christos, Markellos, Panagiotis (2007)
Discrete Dynamics in Nature and Society
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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...
Marco Sabatini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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