Successive bifurcation conditions of a Lorenz-type equation for the fluid convection due to the transient thermal field.
He, Xiaoling (2007)
Mathematical Problems in Engineering
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He, Xiaoling (2007)
Mathematical Problems in Engineering
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Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Xin, Baogui, Chen, Tong, Ma, Junhai (2010)
Discrete Dynamics in Nature and Society
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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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...
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.
André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Barbiroli, Giancarlo, Palestini, Arsen, Ritelli, Daniele (2007)
APPS. Applied Sciences
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Borisovich, Andrei, Janczewska, Joanna (2005)
Abstract and Applied Analysis
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