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Journal article

Influence of perturbations on period-doubling bifurcation

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Department of Physics, Technical University of Denmark1

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 Poincaré map. These considerations lead to a shift of the bifurcation point which is proportional to the square of the amplitude of the perturbation.

The results of this investigation are in agreement with numerical calculations for the microwave-driven Josephson junction.

Language: English
Year: 1987
Pages: 2413-2417
ISSN: 10941622 , 10502947 , 24699926 and 05562791
Types: Journal article
DOI: 10.1103/PhysRevA.36.2413
ORCIDs: Svensmark, Henrik

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