## Isolated invariant sets and isolating blocks

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- by C. Conley and R. Easton
- Trans. Amer. Math. Soc.
**158**(1971), 35-61 - DOI: https://doi.org/10.1090/S0002-9947-1971-0279830-1
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## References

- G. D. Birkhoff, “Nouvelles recherches sur les systèmes dynamiques,” in
- 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 (Symposium, 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., Vols. XIV, XV, XVI, 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,” - 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-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,

*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.

*Advances in differential and integral equations*, Edited by John Nohel, Benjamin, New York, p. 137.

*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.

## Bibliographic 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