Volume 61, Number 1, January 2003
|20 - 26
|01 January 2003
Torus fractalization and singularities in the current-voltage characteristics for the quasiperiodically forced Josephson junction
Institute of Radio-Engineering and Electronics of RAS,
Saratov Division Zelenaya 38, Saratov, Russian Federation
2 Department of Physics, University of Potsdam Am Neuen Palais 10, PF 601553, D-14415 Potsdam, Germany
Accepted: 18 October 2002
We consider a model of Josephson junction driven by a two-frequency quasiperiodic field. In dependence on the amplitude of one frequency component, the transition from a state with zero average voltage to that with a nonzero voltage occurs via the appearance of an intermittent regime, represented either by a smooth torus, or by a strange nonchaotic attractor. The intermediate situation corresponds to the torus fractalization, and the bifurcation there consists in coalescence with further disappearance of a pair of stable and unstable wrinkled invariant curves. We demonstrate different types of singularities in the current-voltage characteristics: in the subcritical case it is associated with the trivial exponent , and the criticality with the nontrivial exponent .
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 85.25.Cp – Josephson devices
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.