A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantorset-like chaotic saddle into a chaotic attractor. The gaps in between various pieces of the chaotic saddle are densely filled after the crisis. We give a quantitative scaling theory for the growth of the topological entropy for a major class of crises, the interior crisis. The theory is confirmed by numerical experiments.
|Original language||English (US)|
|Number of pages||4|
|Journal||Physical Review Letters|
|Publication status||Published - 1996|
ASJC Scopus subject areas
- Physics and Astronomy(all)