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Stabilization of period doubling bifurcation and implications for control of chaos

[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 1994
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Abed, E. H., Wang, H. O., Chen, R. C.
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Alternans and period-doubling bifurcations in atrioventricular nodal conduc

Journal of Theoretical Biology, 1995
A theoretical model, formulated as a finite difference equation is proposed for rate-dependent conduction properties of the atrioventricular (AV) node. The AV nodal conduction time, which is defined as the time interval from the atrial activation to the activation of the bundle of His, depends on the history of activation of the node.
J, Sun   +3 more
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Further regularities in period-doubling bifurcations

Physics Letters A, 1985
Abstract The period-doubling bifurcations of the map x → x ′ = f ( λ , x ) is known to be characterized by a generalized renormalization ground expressing simultaneous scaling in λ and x along the central sequence of bifurcation points (i.e. the sequence which converges to the maximum in f). For other sequences (e.g.
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Period Doubling Bifurcation and Chaos Exhibited by an Isotropic Plate

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000
AbstractPeriod doubling bifurcations and chaos exhibited by one layer flexible plate are illustrated and analyzed. Using a difference operators method the problem is reduced to that of solving ordinary differential and algebraic equations.
Awrejcewicz, J., Krysko, V. A.
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Period Doubling Bifurcation Route to Chaos

1982
A theory recently formulated by Feigenbaum1,2 predicts that the transition to chaotic behaviour via a sequence of period doubling bifurcations has a universal character. Although at this stage the extent at which the theory is applicable is not entirely clear, it is generally believed that it should hold for a large class of nonlinear systems, provided
Marzio Giglio   +2 more
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Period doubling bifurcations in cardiac systems

Chaos, Solitons & Fractals, 1995
Abstract Adams et al. (1981), observed in their experiences with dogs, a decrease in the Electrical Fibrillation Threshold (EFT) by hypothermal conditions and coronary arterial ligament. In this paper, it is proved that there appears also a decrease in the EFT, produced by the intravenous injection of Ketalar in concentrations larger than 9 mg/Kg of ...
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Sinusoidally Varying Period-Doubling Bifurcations

1999
Bifurcations of dynamic systems may be affected in a variety of ways if the parameter that controls the bifurcation is varied slowly. The variation may alter, delay, or eliminate the bifurcation, introduce new types of bifurcation, or change stability regions. The variation may be imposed deliberately to control the response of the system.
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Erratum: "A UNIVERSALITY OF PERIOD-DOUBLING BIFURCATIONS"

Modern Physics Letters B, 2000
T. ARIMITSU, T. MOTOIKE
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