Results 201 to 210 of about 2,435 (236)
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Diffusion-driven period-doubling bifurcations
Biosystems, 1989Discrete-time growth-dispersal models readily exhibit diffusive instability. In some instances, this diffusive instability parallels that found in continuous-time reaction-diffusion equations. However, if a sufficiently eruptive prey is held in check by a predator, predator overdispersal may also lead to one or a series of diffusion-driven period ...
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Seasonality and period-doubling bifurcations in an epidemic model
Journal of Theoretical Biology, 1984The annual incidence rates of some endemic infectious diseases are steady while others fluctuate dramatically, often in a regular cycle. In order to investigate the role of seasonality in driving cycles of recurrent epidemics, we analyze numerically the susceptible/exposed/infective/recovered (SEIR) epidemic model with seasonal transmission.
J L, Aron, I B, Schwartz
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Period Doubling Bifurcations for Families of Maps on ℝn
Journal of Statistical Physics, 1981Infinite sequences of period doubling bifurcations in one-parameter families (1-pf) of maps enjoy very strong universality properties: This is known numerically in a multitude of cases and has been shown rigorously for certain 1-pf of maps on the interval.
Collet, P, Eckmann, J, Koch, H
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Asymptotically period doubling bifurcation of fractional difference equations
Mathematics and Computers in SimulationHu-Shuang Hou +2 more
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Period-doubling bifurcations in a simple model
Physics Letters A, 1981Abstract Periodic solutions in a simple model, whose solution shows successive period-doubling bifurcations leading to chaotic motion, are calculated by using the harmonic balance method. The result is in good agreement with that of computer simulation.
T. Shimizu, N. Morioka
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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, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 1995A 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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Period Doubling Bifurcation and Chaos Exhibited by an Isotropic Plate
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000AbstractPeriod 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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Further regularities in period-doubling bifurcations
Physics Letters A, 1985Abstract 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 Route to Chaos
1982A 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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