1987Physical Review AOpen access

Amplitude calculation near a period-doubling bifurcation: An example

Kurt Wiesenfeld, N. F. Pedersen

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Josephson effect, Period-doubling bifurcation, Bifurcation, Amplitude, Physics, Center manifold, Pi Josephson junction, Period (music)

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