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 T depends upon the system parameter p via T∼|p−pc|−γ, where pc denotes the value of p at the crisis and we call γ the critical exponent of the chaotic transient. A theory determining γ for two-dimensional maps is developed and compared with numerical experiments. The theory also applies to critical behavior at interior crises.
Original language | English |
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Pages (from-to) | 1284-1287 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 57 |
Issue number | 11 |
DOIs | |
Publication status | Published - 15 Sept 1986 |