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Bubbling and riddling of higher-dimensional attractors

✍ Scribed by Tomasz Kapitaniak; Yuri Maistrenko; Celso Grebogi

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
264 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

We analyze the bifurcation in which one of the unstable periodic orbits embedded in a higher-dimensional chaotic attractor becomes unstable transversely to the attractor. The existence of such local transversal instability may cause the bubbling of the attractor in the invariant manifold or it may cause the riddling of the basin of attraction.

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