Devaney, Robert L. Transversal homoclinic orbits in an integrable system. (English) Zbl 0406.58019 Am. J. Math. 100, 631-642 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 20 Documents MSC: 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 70F99 Dynamics of a system of particles, including celestial mechanics 70F10 \(n\)-body problems Keywords:Periodic Orbits; Stable and Unstable Manifolds; Homoclinic Orbit; N-Body Problem; Oscillatory Orbits; Hamiltonian System; Smale-Birkhoff Theorems PDF BibTeX XML Cite \textit{R. L. Devaney}, Am. J. Math. 100, 631--642 (1978; Zbl 0406.58019) Full Text: DOI