Bifurcation routes to chaos in an extended Van der Pol's equation applied to economic models.
Pribylova, Lenka (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pribylova, Lenka (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marik, Robert, Pribylova, Lenka (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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...
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.
De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Talibi Alaoui, Hamad, Yafia, Radouane (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Cai, Jianping (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alexander, Murray E., Moghadas, Seyed M. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hou, Xiaojie, Korman, Philip, Li, Yi (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Dragana Ranković (2011)
Matematički Vesnik
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Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Barbiroli, Giancarlo, Palestini, Arsen, Ritelli, Daniele (2007)
APPS. Applied Sciences
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Emilio Freire, Enrique Ponce, Francisco Torres (1997)
Publicacions Matemàtiques
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Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are pointed out.