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Spatial Unfolding of Elementary Bifurcations

โœ Scribed by P. Coullet; E. Risler; N. Vandenberghe


Book ID
111561694
Publisher
Springer
Year
2000
Tongue
English
Weight
505 KB
Volume
101
Category
Article
ISSN
0022-4715

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Suppose a chaotic attractor A in an invariant subspace loses stability on varying a parameter. At the point of loss of stability, the most positive Lyapunov exponent of the natural measure on A crosses zero at what has been called a 'blowout' bifurcation. We introduce the notion of an essential bas