Tori and Klein bottles in four-dimensional chaotic flows

✍ Scribed by G.B. Mindlin; H.G. Solari

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 536 KB
• Volume: 102
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/s0167-2789(96)00189-3

✦ Synopsis

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.