Abstract
A transient intermittency which lasts a very long time interval for a wide parameter range is shown. The behavior occurs for a simple two-dimensional map system which has a chaotic set (A) in a one-dimensional subuianifold and has a periodic attractor (B) apart from the submanifold for a positive region of normal Lyapunov exponent for a typical orbit of the chaotic set A. In this case, the basin structure of the system changes quite gradually as the parameter varies. This property of the basin structure is the principal cause of occurrence of such long life transient intermittency.
