Solutions of the collinear four body problem which become unbounded in finite time

  • J. N. Mather
  • R. McGehee
III. Nonlinear Differential Equations
Part of the Lecture Notes in Physics book series (LNP, volume 38)


Finite Time Unstable Manifold Stable Manifold Body Problem Binary Collision 
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  1. [1]
    McGehee, R., Triple collision in the collinear three-body problem, Inventiones math., to appear.Google Scholar
  2. [2]
    Fenichel, N., Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J. 21 (1971) 193–226.Google Scholar
  3. [3]
    Fenichel, N., Asymptotic stability with rate conditions, Indiana Univ. Math. J., 23 (1974) 1109–1137.Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • J. N. Mather
    • 1
  • R. McGehee
    • 2
  1. 1.Department of MathematicsHarvard UniversityCambridge
  2. 2.School of Mathematics, University of MinnesotaMinneapolis

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