The connection between chaos synchronization and phenomena of riddled basins is discussed for a family of two-dimensional piecewise linear endomorphisms which consist of two linearly coupled one-dimensional maps. Under analytically given conditions, chaotic behavior in both maps can synchronize but synchronized state is characterized by different types of stability. The mechanism of occurrence of riddled basins is described in detail. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 24]
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