Bifurcation of Homoclinic Orbits with Saddle-Center Equilibrium*
β Scribed by Xingbo Liu; Xianlong Fu; Deming Zhu
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2007
- Tongue
- English
- Weight
- 173 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1860-6261
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π SIMILAR VOLUMES
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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 consider 4-dimensional, real, analytic Hamiltonian systems with a saddle center equilibrium (related to a pair of real and a pair of imaginary eigenvalues) and a homoclinic orbit to it. We find conditions for the existence of transversal homoclinic orbits to periodic orbits of long period in ever