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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


Homoclinic bifurcations of endomorphisms
✍ L. Mora 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 473 KB

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.

Transverse bifurcations of homoclinic cy
✍ P. Chossat; M. Krupa; I. Melbourne; A. Scheel 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 1001 KB

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