Construction of codimension one homoclinic cycles
✍ Scribed by Homburg, Ale Jan; Kellner, Maria; Knobloch, Jürgen
- Book ID
- 125484872
- Publisher
- Taylor and Francis Group
- Year
- 2013
- Tongue
- English
- Weight
- 484 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1468-9367
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📜 SIMILAR VOLUMES
In this note, we consider the dynamic that appears when we unfold a quadratic degenerate homoclinic point of a generic one-parameter family of endomorphisms fP. This is done through a resealing technique. Among other facts, it follows from our theorem the abundance of strange expanding sets.
Homoclinic cycles exist robustly in dynamical systems with symmetry, and may undergo various bifurcations, not all of which have an analog in the absence of symmetry. We analyze such a bifurcation, the transverse bifurcation; and uncover a variety of phenomena that can be distinguished representatio