TY - JOUR
T1 - Crises in a driven Josephson junction studied by cell mapping
AU - Sørensen, Mads Peter
AU - Davidson, A.
AU - Pedersen, Niels Falsig
AU - Pagano, S.
N1 - Copyright (1988) by the American Physical Society.
PY - 1988
Y1 - 1988
N2 - We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.
AB - We use the method of cell-to-cell mapping to locate attractors, basins, and saddle nodes in the phase plane of a driven Josephson junction. The cell-mapping method is discussed in some detail, emphasizing its ability to provide a global view of the phase plane. Our computations confirm the existence of a previously reported interior crisis. In addition, we observe a boundary crisis for a small shift in one parameter. The cell-mapping method allows us to show both crises explicitly in the phase plane, at low computational cost.
U2 - 10.1103/PhysRevA.38.5384
DO - 10.1103/PhysRevA.38.5384
M3 - Journal article
VL - 38
SP - 5384
EP - 5390
JO - Physical Review A (Atomic, Molecular and Optical Physics)
JF - Physical Review A (Atomic, Molecular and Optical Physics)
SN - 1050-2947
IS - 10
ER -