Abstract
The paper examines the appearance of on-off intermitting and
riddled basins of attaction in a system of two coupled
one-dimensional maps, each displaying type-III intermittency. The
bifurcation curves for the transverse destabilization of low
periodic orbits embedded in the synchronized chaotic state are
obtained. Different types of riddling bifurcation are described,
and we show how the existence of an absorbing area inside the
basin of attraction can account for the distinction between local
and global riddling as well as for the distinction between
hysteric and non-hysteric blowout.
Original language | English |
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Journal | Advances in Complex Systems |
Volume | 1 |
Pages (from-to) | 161-180 |
ISSN | 0219-5259 |
Publication status | Published - 1998 |