On the stationary solutions of Burgers' equation
Piotr Biler (1987)
Colloquium Mathematicae
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Displaying similar documents to “Interaction of Periodic and Stationary Bifurcation from Multiple Eigenvalues.”
On the stationary solutions of Burgers' equation
Periodic points and bifurcation of one-dimensional maps
J. Ombach (1985)
Applicationes Mathematicae
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Periodic solutions near an equilibrium of a differential equation with a first integral
Wacław Marzantowicz, Adam Parusiński (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Hopf bifurcation in symmetric systems
André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Bifurcation from Periodic Solutions in Functional Differential Equations.
Hans-Otto Walther (1983)
Mathematische Zeitschrift
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Applications of the bifurcation theory to evaluating critical conditions of the thermal explosion
W. K. Kordylewski (1982)
Applicationes Mathematicae
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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).
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...