Dynamic bifurcation diagrams for some models in economics and biology.
Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Displaying similar documents to “Neimark-Sacker bifurcation in a discrete-time financial system.”
Dynamic bifurcation diagrams for some models in economics and biology.
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.
On the difference equation .
Ding, Xiaohua, Zhang, Rongyan (2008)
Advances in Difference Equations [electronic only]
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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...
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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The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type
Jolanta Przybycin (1989)
Annales Polonici Mathematici
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The emergence of bull and bear dynamics in a nonlinear model of interacting markets.
Tramontana, Fabio, Gardini, Laura, Dieci, Roberto, Westerhoff, Frank (2009)
Discrete Dynamics in Nature and Society
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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.
Analytical investigation of the onset of bifurcation cascade in two logistic-like maps.
Panchev, S. (2001)
Discrete Dynamics in Nature and Society
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Bifurcations in a modulation equation for alternans in a cardiac fiber
Shu Dai, David G. Schaeffer (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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While alternans in a single cardiac cell appears through a simple period-doubling bifurcation, in extended tissue the exact nature of the bifurcation is unclear. In particular, the phase of alternans can exhibit wave-like spatial dependence, either stationary or travelling, which is known as alternans. We study these phenomena in simple cardiac models through a modulation equation proposed by Echebarria-Karma. As shown in our previous paper, the zero solution of their equation may...