Bifurcation to homoclinic connections of the focus-saddle type
β Scribed by J. A. Rodriguez
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 378 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
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
We explain in this Note how to obtain an exponentially small equivalent of a bioscillatory integral when it involves solutions of a nonlinear differential equation. The method proposed in this Note enables us to study the problem of existence of homoclinic connections for vector fields admitting a (