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Simultaneous Border-Collision and Period-Doubling Bifurcations [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009 We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map.
Angulo F. +7 more
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Perturbed period-doubling bifurcation. I. Theory [PDF]
Physical Review B, 1990 The influence of perturbations (a small, near-resonant signal and noise) on a driven dissipative dynamical system that is close to undergoing a period-doubling bifurcation is investigated. It is found that the system is very sensitive, and that periodic perturbations change its stability in a well-defined way that is a function of the amplitude and the
Svensmark, Henrik +1 more
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Influence of perturbations on period-doubling bifurcation [PDF]
Physical Review A, 1987 The influence of noise and resonant perturbation on a dynamical system in the vicinity of a period-doubling bifurcation is investigated. It is found that the qualitative dynamics can be revealed by simple considerations of the Poincar\'e map. These considerations lead to a shift of the bifurcation point which is proportional to the square of the ...
Svensmark, Henrik +1 more
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Alternate pacing of border-collision period-doubling bifurcations [PDF]
Nonlinear Dynamics, 2007 14 pages, 5 figures; added funding ...
Zhao, Xiaopeng, Schaeffer, David G.
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Period-doubling bifurcation readout for a Josephson qubit [PDF]
Physical Review B, 2011 We propose a threshold detector with an operation principle, based on a parametric period-doubling bifurcation in an externally pumped nonlinear resonance circuit. The ac-driven resonance circuit includes a dc-current-biased Josephson junction ensuring parametric frequency conversion (period-doubling bifurcation) due to its quadratic nonlinearity.
Zorin, Alexander B., Makhlin, Yuriy
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(Vanishing) Twist in the Saddle-Centre and Period-Doubling Bifurcation [PDF]
, 2003 The lowest order resonant bifurcations of a periodic orbit of a Hamiltonian system with two degrees of freedom have frequency ratio 1:1 (saddle-centre) and 1:2 (period-doubling).
Dullin, Holger R., Ivanov, Alexey V.
core +6 more sources
Period-doubling bifurcation in strongly anisotropic Bianchi I quantum cosmology [PDF]
, 1999 We solve the Wheeler-DeWitt equation for the minisuperspace of a cosmological model of Bianchi type I with a minimally coupled massive scalar field $\phi$ as source by generalizing the calculation of Lukash and Schmidt [1]. Contrarily to other approaches
A. Macias +51 more
core +4 more sources
Bifurcations, Period Doublings and Chaos in Clarinetlike Systems
Europhysics Letters (EPL), 1986 Wind instruments provide interesting hydrodynamical systems where non-linearities are important but well localized. A simple analysis shows that these systems should undergo Feignebaum-type route to chaos, with a cascade of period doublings.
Maganza, Christian +2 more
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Unnested islands of period-doublings in an injected semiconductor laser [PDF]
, 2001 We present a theoretical study of unnested period-doubling islands in three-dimensional rate equations modeling a semiconductor laser subject to external optical injection.
Krauskopf, B +2 more
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Period doubling bifurcation and high-order resonances in RR Lyrae hydrodynamical models [PDF]
, 2011 We investigated period doubling, a well-known phenomenon in dynamical systems, for the first time in RR Lyrae models. These studies provide theoretical background for the recent discovery of period doubling in some Blazhko RR Lyrae stars with the Kepler ...
Aikawa +47 more
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