Geodesic
On the existence of chaotic behaviour of diffeomorphisms
Applications of Mathematics, Tome 38 (1993) no. 2, pp. 101-122.

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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.
DOI : 10.21136/AM.1993.104538
Classification : 34C23, 37G99, 58F08, 58F14, 58F15, 58f30
Keywords: bifurcations; homoclinic orbits; chaotic behaviour 
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Fečkan, Michal. On the existence of chaotic behaviour of diffeomorphisms. Applications of Mathematics, Tome 38 (1993) no. 2, pp. 101-122. doi : 10.21136/AM.1993.104538. http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104538/

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