Recurrence Plot (RP) and Recurrence Quantification Analysis (RQA) are signal numerical analysis methodologies able to work
with non linear dynamical systems and non stationarity. Moreover they well evidence changes in the states of a dynamical system.
It is shown that RP and RQA detect the critical regime in financial indices (in analogy with phase transitions) before a bubble
bursts, whence allowing to estimate the bubble initial time. The analysis is made on NASDAQ daily closing price between Jan.
1998 and Nov. 2003. The NASDAQ bubble initial time has been estimated to be on Oct. 19, 1999.
Key words Endogenous crash - Financial bubble - Recurrence Plot - Recurrence Quantification Analysis - Nonlinear Time Series Analysis - NASDAQ