Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Contributions to the transformation theory of dynamics


Author: Daniel C. Lewis
Journal: Trans. Amer. Math. Soc. 46 (1939), 374-388
MSC: Primary 70.1X
MathSciNet review: 0000743
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] George D. Birkhoff, Surface transformations and their dynamical applications, Acta Math. 43 (1922), no. 1, 1–119. MR 1555175, 10.1007/BF02401754
  • [2] -Nouvelles recherches sur les systèmes dynamiques, Memoriae Pontificiae Academiae Scientiae Novi Lyncaei, (3), vol. 1, pp. 85-216.
  • [3] -Dynamical Systems, American Mathematical Society Colloquium Publications, vol. 9, New York, 1927.
  • [4] -With D. C. Lewis, On the periodic motions near a given periodic motion of a dynamical system, Annali di Matematica, (4), vol. 12 (1933), pp. 117-133.
  • [1] E. Goursat Leçons sur le Problème de Pfaff, Paris, 1922.
  • [1] D. C. Lewis On formal power series transformations. To be published in the Duke Mathematical Journal.
  • [2] Daniel C. Lewis Jr., Invariant Manifolds Near an Invariant Point of Unstable Type, Amer. J. Math. 60 (1938), no. 3, 577–587. MR 1507339, 10.2307/2371599
  • [3] -The formal theory of conservative transformations in $ 2n$-dimensional space, Bulletin of the American Mathematical Society, abstract 41-5-197.
  • [4] Daniel C. Lewis Jr., On Certain Periodic Motions of Dynamical Systems with More than Two Degrees of Freedom, Amer. J. Math. 56 (1934), no. 1-4, 25–41. MR 1506999, 10.2307/2370909
  • [5] -Sulle oscillazioni periodiche d'un sistema dinamico, Rendiconti della Reale Accademia Nazionale dei Lincei, (6$ ^{a}$), vol. 19 (1934), pp. 234-237.
  • [1] C. C. MacDuffee The Theory of Matrices, Berlin, 1933.
  • [1] E. von Weber Vorlesungen über das Pfaff'sche Problem und die Theorie der partiellen Differentialgleichungen erster Ordnung, Leipzig, 1900.
  • [1] E. T. Whittaker A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 2d edition, Cambridge, 1917.
  • [1] E. R. van Kampen and Aurel Wintner, On the reduction of dynamical systems by means of parametrized invariant relations, Trans. Amer. Math. Soc. 44 (1938), no. 2, 168–195. MR 1501966, 10.1090/S0002-9947-1938-1501966-6
  • [2] Aurel Wintner, Three Notes on Characteristic Exponents and Equations of Variation in Celestial Mechanics, Amer. J. Math. 53 (1931), no. 3, 605–625. MR 1506840, 10.2307/2371169

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 70.1X

Retrieve articles in all journals with MSC: 70.1X


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1939-0000743-6
Article copyright: © Copyright 1939 American Mathematical Society