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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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Quadratic stabilization of systems with period doubling bifurcation
Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004In this paper we study the stabilization of discrete-time controlled dynamics with periodic doubling bifurcation using quadratic normal forms, centre manifold techniques and quadratic feedbacks. The procedure for designing a quadratic controller is also proposed.
Hamzi B. +2 more
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An Experimental Approach To Period Doubling Bifurcation In Plasmas
2017 IEEE International Conference on Plasma Science (ICOPS), 2017A direct current (dc) driven semiconductor-gas discharge system is designed to study nonlinear behavior and period doubling features experimentally. Numerical analysis and theoretical studies show that the period doubling is expected in the discharge 1.
Uzun Kaymak, İlker Ümit +1 more
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Bifurcation structure of the -type period-doubling transition
Physica D: Nonlinear Phenomena, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Laugesen, Jakob L. +2 more
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Period-doubling bifurcations in measure-preserving flows
Physics Letters A, 1990Abstract We study period-doubling bifurcations in periodically driven two-dimensional flows, which are measure-preserving. We demonstrate on several examples, that this important bifurcation sequence proceeds very similarly and with the same universal constants, as in the Hamiltonian case of two degrees of freedom.
T Bountis, L Drossos
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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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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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Period doubling bifurcations in cardiac systems
Chaos, Solitons & Fractals, 1995Abstract 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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A method to calculate period doubling bifurcation
Applied Mathematics and Mechanics, 1987This paper considers small periodic perturbations of second order nonlinear Duffing type equations. It is concerned with the phenomenon known as ``period doubling bifurcation'' interpreted as the combination of two unperturbed equation, whose periods are close to the period of the perturbation.
Liu, Zhengrong +2 more
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