Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Isolated invariant sets and isolating blocks
HTML articles powered by AMS MathViewer

by C. Conley and R. Easton PDF
Trans. Amer. Math. Soc. 158 (1971), 35-61 Request permission
References
    G. D. Birkhoff, “Nouvelles recherches sur les systèmes dynamiques,” in Collected works. Vol. 2, Amer. Math. Soc., Providence, R. I., 1950, pp. 530-659. C. Conley, “Invariant sets in a monkey saddle,” Proceedings United States-Japan seminar on differential and functional equations, Edited by William A. Harris Jr. and Yasutaka Sibuya, Benjamin, New York, 1967. MR 36 #5415.
  • C. C. Conley, The retrograde circular solutions of the restricted three-body problem via a submanifold convex to the flow, SIAM J. Appl. Math. 16 (1968), 620–625. MR 227529, DOI 10.1137/0116050
  • Charles C. Conley, On the ultimate behavior of orbits with respect to an unstable critical point. I. Oscillating, asymptotic, and capture orbits, J. Differential Equations 5 (1969), 136–158. MR 251301, DOI 10.1016/0022-0396(69)90108-9
  • C. Conley, Twist mappings, linking, analyticity, and periodic solutions which pass close to an unstable periodic solution, Topological dynamics (Sympos., Colorado State Univ., Ft. Collins, Colo., 1967) Benjamin, New York, 1968, pp. 129–153. MR 0293203
  • C. Conley and R. Easton, Isolated invariant sets and isolating blocks, Advances in differential and integral equations (Conf. Qualitative Theory of Nonlinear Differential and Integral Equations, Univ. Wisconsin, Madison, Wis., 1968; in memoriam Rudolph E. Langer (1894–1968)), Studies in Appl. Math., No. 5, Soc. Indust. Appl. Math., Philadelphia, Pa., 1969, pp. 97–104. MR 0397793
  • Robert W. Easton, On the existence of invariant sets inside a submanifold convex to a flow, J. Differential Equations 7 (1970), 54–68. MR 249755, DOI 10.1016/0022-0396(70)90123-3
  • R. W. Easton, Locating invariant sets, Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 55–59. MR 0270398
  • Robert W. Easton, On the existence of invariant sets inside a submanifold convex to a flow, J. Differential Equations 7 (1970), 54–68. MR 249755, DOI 10.1016/0022-0396(70)90123-3
  • —, “A flow near a degenerate critical point,” Advances in differential and integral equations, Edited by John Nohel, Benjamin, New York, p. 137.
  • Jürgen Moser, A rapidly convergent iteration method and non-linear differential equations. II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 20 (1966), 499–535. MR 206461
  • Robert J. Sacker, A perturbation theorem for invariant Riemannian manifolds, Differential Equations and Dynamical Systems (Proc. Internat. Sympos., Mayaguez, P.R., 1965) Academic Press, New York, 1967, pp. 43–54. MR 0218700
  • Robert J. Sacker, A new approach to the perturbation theory of invariant surfaces, Comm. Pure Appl. Math. 18 (1965), 717–732. MR 188566, DOI 10.1002/cpa.3160180409
  • Stephen Smale, Diffeomorphisms with many periodic points, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 63–80. MR 0182020
  • Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
  • Taro Ura, On the flow outside a closed invariant set; stability, relative stability and saddle sets, Contributions to Differential Equations 3 (1964), 249–294. MR 163018
  • T. Ważewski, Sur une méthode topologique de l’examen de l’allure asymptotique des intégrales des équations différentielles, Proc. Internat. Congress Math. (Amsterdam, 1954) vol. III, Noordhoff, Groningen and North-Holland, Amsterdam, 1956, pp. 132-139. MR 19, 272.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 57.48
  • Retrieve articles in all journals with MSC: 57.48
Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 158 (1971), 35-61
  • MSC: Primary 57.48
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0279830-1
  • MathSciNet review: 0279830