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Detection of symmetric homoclinic orbits to saddle-centres in reversible systems

✍ Scribed by Kazuyuki Yagasaki; Thomas Wagenknecht


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
966 KB
Volume
214
Category
Article
ISSN
0167-2789

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πŸ“œ SIMILAR VOLUMES


Cascades of reversible homoclinic orbits
✍ JΓΆrg HΓ€rterich πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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