Results 11 to 20 of about 19,807 (147)
Amplitude calculation near a period-doubling bifurcation: An example [PDF]
Physical Review A, 1987 For the rf-driven Josephson junction, the dynamical behavior is studied near a period-doubling transition. The center-manifold theorem simplifies the problem and enables us to study only a first-order system, the parameters of which are expressed in terms of the Josephson-junction parameters.
Wiesenfeld, K., Pedersen, Niels Falsig
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Bifurcation scenario to Nikolaevskii turbulence in small systems
, 2005 We show that the chaos in Kuramoto-Sivashinsky equation occurs through period-doubling cascade (Feigenbaum scenario), in contrast, the chaos in Nikolaevskii equation occurs through torus-doubling bifurcation (Ruelle-Takens-Newhouse scenario).Comment ...
Kuramoto Y. +7 more
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Bifurcation, chaos, and voltage collapse in power systems [PDF]
, 1995 A model of a power system with load dynamics is studied by investigating qualitative changes in its behavior as the reactive power demand at a load bus is increased.
Tan, ChinWoo +3 more
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Cascades of period-doubling bifurcations: A prerequisite for horseshoes [PDF]
Bulletin of the American Mathematical Society, 1983 The authors consider a parameter depending dynamical system \(f:C\times [0,1]\to {\mathbb{R}}^ n\) such that f(.,1) is a horseshoe map. Assuming that cross-sectional areas are contracting, they show that infinitely many cascades of period doublings must occur in the process of forming the horseshoe.
Yorke, James A., Alligood, Kathleen T.
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Computation of periodic solution bifurcations in ODEs using bordered systems [PDF]
, 2002 We consider numerical methods for the computation and continuation of the three generic secondary periodic solution bifurcations in autonomous ODEs, namely the fold, the period-doubling (or flip) bifurcation, and the torus (or Neimark–Sacker) bifurcation.
Doedel, E. J. +2 more
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Detecting period-doubling bifurcation: an approximate monodromy matrix approach
Automatica, 2001 A quasi-analytical approach is developed for detecting period-doubling bifurcation emerging near a Hopf bifurcation point. The new algorithm employs higher-order Harmonic Balance Approximations (HBAs) to compute the monodromy matrix, useful for the study of limit cycle bifurcations.
Berns, Daniel Walther +2 more
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Clustering dynamics in globally coupled map lattices
, 1996 Clustering bifurcations are investigated by considering models of globally coupled map lattices. Typical classes of clustering bifurcations are revealed.
Hu, Gang, Xie, Fagen
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Experimental observation of parametric effects near period doubling in a loss-modulated CO2 laser [PDF]
, 1996 A number of parametric effects, such as suppression of period doubling, shift of the bifurcation point, scaling law relating the shift and the perturbation amplitude, influence of the detuning on the suppression, reaching of the maximum gain between the ...
American Physical Society +2 more
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Perturbed period-doubling bifurcation. II. Experiments on Josephson junctions [PDF]
Physical Review B, 1990 We present experimental results on the effect of periodic perturbations on a driven, dynamic system that is close to a period-doubling bifurcation. In the preceding article a scaling law for the change of stability of such a system was derived for the case where the perturbation frequency {omega}{sub {ital S}} is close to the resonances given by {omega}
Eriksen, Gert Friis +1 more
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Chaotic to ordered state transition of cathode-sheath instabilities in DC glow discharge plasmas [PDF]
, 2006 Transition from chaotic to ordered state has been observed during the initial stage of a discharge in a cylindrical dc glow discharge plasma. Initially it shows a chaotic behavior but increasing the discharge voltage changes the characteristics of the ...
A N Sekar Iyengar +9 more
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