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

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MR Zbl
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.
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 
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
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