Bulletin of the American Mathematical Society

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Book Information:

Authors: N. Aoki and K. Hiraide
Title: Topological theory of dynamical systems
Additional book information: North-Holland Math Library, vol. 52, North-Holland, Amsterdam, 1994, viii + 416 pp., ISBN 0-444-89917-0, $128.50$

Ethan Akin, The general topology of dynamical systems, Graduate Studies in Mathematics, vol. 1, American Mathematical Society, Providence, RI, 1993. MR 1219737, DOI 10.1090/gsm/001

D. V. Anosov, Geodesic flows on closed Riemann manifolds with negative curvature. , Proceedings of the Steklov Institute of Mathematics, No. 90 (1967), American Mathematical Society, Providence, R.I., 1969. Translated from the Russian by S. Feder. MR 0242194

3.

J. Auslander, Book review of ``The General Topology of Dynamical Systems'', Bull. Amer. Math. Soc. (N.S.) 32 (1995), pp. 365--369.

Rufus Bowen, $\omega$-limit sets for axiom $\textrm {A}$ diffeomorphisms, J. Differential Equations 18 (1975), no. 2, 333–339. MR 413181, DOI 10.1016/0022-0396(75)90065-0

Robert L. Devaney, An introduction to chaotic dynamical systems, 2nd ed., Addison-Wesley Studies in Nonlinearity, Addison-Wesley Publishing Company, Advanced Book Program, Redwood City, CA, 1989. MR 1046376

Anatole Katok and Boris Hasselblatt, Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications, vol. 54, Cambridge University Press, Cambridge, 1995. With a supplementary chapter by Katok and Leonardo Mendoza. MR 1326374, DOI 10.1017/CBO9780511809187

7.

C. Robinson, Dynamical Systems, CRC Press, Boca Raton, FL, 1995.

8.

Y. Sinai, Gibbs measures in ergodic theory, Russ. Math. Surveys, vol. 166 (1972), pp. 21--69.

S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1

1.

E. Akin, The General Topology of Dynamical Systems, Graduate Studies in Mathematics, vol. 1, Amer. Math. Soc., 1993. MR 94f:58041

2.

D.V. Anosov, Geodesic flows on closed Riemannian manifolds of negative curvature, Proc. Steklov Inst. vol 90 (1967), Amer. Math. Soc. (transl. 1969). MR 39:3527

3.

J. Auslander, Book review of ``The General Topology of Dynamical Systems'', Bull. Amer. Math. Soc. (N.S.) 32 (1995), pp. 365--369.

4.

R. Bowen, -limit sets for Axiom A diffeomorphisms, J. Diff. Equat., vol. 18 (1975), pp. 333-339. MR 54:1300

5.

R. Devaney, An Introduction to Chaotic Dynamical Systems, Addison Wesley Publ. Co., Reading, MA, 1989. MR 91a:58114

6.

A. Katok and B. Hasselblatt, Introduction to the Modern Theory of Dynamical Systems, Cambridge Univ. Press, Cambridge, 1995. MR 96c:58055

7.

C. Robinson, Dynamical Systems, CRC Press, Boca Raton, FL, 1995.

8.

Y. Sinai, Gibbs measures in ergodic theory, Russ. Math. Surveys, vol. 166 (1972), pp. 21--69.

9.

S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), pp. 747-817. MR 37:3598