An example of a wild strange attractor
Journal Article
·
· Sbornik. Mathematics
- Weierstrass Institute for Applied Analysis and Stochastics, Berlin (Germany)
- National Research Institute of Applied Mathematics and Cybernetics, N.I. Lobachevskii Nizhnii Novgorod State University, Nizhnii Novgorod (Russian Federation)
It is proved that in the space of C{sup r}-smooth (r{>=}4) flows in R{sup n} (n{>=}4) there exist regions filled by systems that each have an attractor (here: a completely stable chain-transitive closed invariant set) containing a non-trivial basic hyperbolic set together with its unstable manifold, which has points of non-transversal intersection with the stable manifold. A construction is given for such a wild attractor containing an equilibrium state of saddle-focus type.
- OSTI ID:
- 21202764
- Journal Information:
- Sbornik. Mathematics, Vol. 189, Issue 2; Other Information: DOI: 10.1070/SM1998v189n02ABEH000300; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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