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Invariant tori and chaotic streamlines in the ABC flow

โœ Scribed by De-Bin Huang; Xiao-Hua Zhao; Hui-Hui Dai

Book ID
108444989
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
394 KB
Volume
237
Category
Article
ISSN
0375-9601

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We have analyzed the local structure of the flow in the neighborhood of the unstable periodic orbits within the chaotic solution of a four-dimensional vector field. Surfaces within the invariant manifolds of the orbits are found and characterized: they are either Klein bottles or tori.