Abstract
The average lifetime of a chaotic transient versus a system parameter is studied for the case wherein a chaotic attractor is converted into a chaotic transient upon collision with its basin boundary (a crisis). Typically the average lifetime depends upon the system parameter via , where denotes the value of at the crisis and we call the critical exponent of the chaotic transient. A theory determining for two-dimensional maps is developed and compared with numerical experiments. The theory also applies to critical behavior at interior crises.
- Received 28 April 1986
DOI:https://doi.org/10.1103/PhysRevLett.57.1284
©1986 American Physical Society