@inbook{9f51bfed43754797af767169d79e1d38,

title = "Crises",

abstract = "As a system parameter is varied, sudden and qualitative changes in the chaotic attractor can occur, the so-called crises [292, 293]. These qualitative changes can be seen in bifurcation diagrams where one coordinate, say x ∗, of the attractor is plotted versus a system parameter, as shown in Fig. 3.1. Sudden shrinkage or enlargements of the set of x ∗ values are visible at several parameter values, indicating the complexity of crisis events in a typical dynamical system.",

keywords = "Chaotic Attractor, Lyapunov Exponent, Periodic Orbit, Stable Manifold, Unstable Manifold",

author = "Ying-Cheng Lai and Tam{\'a}s T{\'e}l",

year = "2011",

month = jan,

day = "1",

doi = "10.1007/978-1-4419-6987-3_3",

language = "English (US)",

series = "Applied Mathematical Sciences (Switzerland)",

publisher = "Springer",

pages = "79--106",

booktitle = "Applied Mathematical Sciences (Switzerland)",

}