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Fečkan, Michal
On the existence of chaotic behaviour of diffeomorphisms. (English). Applications of Mathematics, vol. 38 (1993), issue 2, pp. 101-122
MSC: 34C23, 37G99, 58F08, 58F14, 58F15, 58f30 | MR 1202747 | Zbl 0789.58056 | DOI: 10.21136/AM.1993.104538
Keywords:
bifurcations; homoclinic orbits; chaotic behaviour
Summary:
For several specific mappings we show their chaotic behaviour by detecting the existence of their transversal homoclinic points. Our approach has an analytical feature based on the method of Lyapunov-Schmidt.
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