TY - JOUR
T1 - Intermingled basins and two-state on-off intermittency
AU - Lai, Ying Cheng
AU - Grebogi, Celso
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1995
Y1 - 1995
N2 - We consider dynamical systems which possess two low-dimensional symmetric invariant subspaces. In each subspace, there is a chaotic attractor, and there are no other attractors in the phase space. As a parameter of the system changes, the largest Lyapunov exponents transverse to the invariant subspaces can change from negative to positive: the former corresponds to the situation where the basins of the attractors are intermingled, while the latter corresponds to the case where the system exhibits a two-state on-off intermittency. The phenomenon is investigated using a physical example where particles move in a two-dimensional potential, subjected to friction and periodic forcing.
AB - We consider dynamical systems which possess two low-dimensional symmetric invariant subspaces. In each subspace, there is a chaotic attractor, and there are no other attractors in the phase space. As a parameter of the system changes, the largest Lyapunov exponents transverse to the invariant subspaces can change from negative to positive: the former corresponds to the situation where the basins of the attractors are intermingled, while the latter corresponds to the case where the system exhibits a two-state on-off intermittency. The phenomenon is investigated using a physical example where particles move in a two-dimensional potential, subjected to friction and periodic forcing.
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U2 - 10.1103/PhysRevE.52.R3313
DO - 10.1103/PhysRevE.52.R3313
M3 - Article
AN - SCOPUS:0001475002
VL - 52
SP - R3313-R3316
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 4
ER -