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Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems

✍ Scribed by Champneys, Alan R.; Härterich, Jörg


Book ID
120182050
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
337 KB
Volume
15
Category
Article
ISSN
1468-9367

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Cascades of reversible homoclinic orbits
✍ Jörg Härterich 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 893 KB

In a reversible system, we consider a homoclinic orbit being bi-asymptotic to a saddle-focus equilibrium. As was proved by , there exists a one-parameter family of periodic orbits accumulating onto this homoclinic orbit. In the present paper, we show that for any n > 2 there exist infinitely many n