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Double collisions for a classical particle system with nongravitational interactions

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Commentarii Mathematici Helvetici

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References

  1. Conley, C.,Isolated Invariant Sets and the Morse Index, CBMS Regional Conference Series in Mathematics, 38, AMS, Providence, 1978.

    MATH  Google Scholar 

  2. Conley, C. andEaston, R.,Isolated invariant sets and isolating blocks,Trans. Amer. Math. Soc. 158 (1971), 35–61.

    Article  MathSciNet  MATH  Google Scholar 

  3. Devaney, R.,Collision orbits in the anisotropic Kepler problem, Inventiones Math.45 (1978), 221–251.

    Article  MathSciNet  MATH  Google Scholar 

  4. Easton, R.,Regularization of vector fields by surgery, J. Differential Equations10 (1971), 92–99.

    Article  MathSciNet  MATH  Google Scholar 

  5. Fenichel, N.,Persistence and smoothness of invariant manifolds for flows, Indiana Univ. Math. J.21 (1971), 193–226.

    Article  MathSciNet  MATH  Google Scholar 

  6. Levi-Civita, T.,Sur la régularisation du problème des trois corps, Acta Math.42 (1920), 99–144.

    Article  MathSciNet  MATH  Google Scholar 

  7. McGehee, R.,Triple collision in Newtonian gravitational systems, Dynamical Systems, Theory and Applications, J. Moser, ed., Lecture Notes in Physics, Springer-Verlag, 1975, 550–572.

  8. McGehee, R.,Singularities in classical celestial mechanics, Proceedings of the International Congress of Mathematicians, Helsinki, 1978, 827–834.

  9. Moser, J.,Three integrable Hamiltonian systems connected with isospectral deformation, Adv. in Math.16 (1975), 197–220.

    Article  MathSciNet  MATH  Google Scholar 

  10. Siegel, C. L. andMoser, J.,Lectures on Celestial Mechanics, Springer-Verlag, 1971.

  11. Siegel, C. L.,Der Dreierstoss, Ann. Math.42 (1941), 127–168.

    Article  MathSciNet  MATH  Google Scholar 

  12. Sundman, K.,Recherches sur le problème des trois corps, Acta Societatis Scientierum Fennicae34 (1907).

  13. Whittaker, E. T.,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Dover, N.Y., 1944.

    MATH  Google Scholar 

  14. Wilson, F. W., Jr. andYorke, J.,Lyapunov functions and isolating blocks, J. Differential Equations13 (1973), 106–123.

    Article  MathSciNet  MATH  Google Scholar 

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  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Richard McGehee

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  1. Richard McGehee
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McGehee, R. Double collisions for a classical particle system with nongravitational interactions. Commentarii Mathematici Helvetici 56, 524–557 (1981). https://doi.org/10.1007/BF02566226

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  • DOI: https://doi.org/10.1007/BF02566226

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