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The stability theorems for discrete dynamical systems on two-dimensional manifolds. (English) Zbl 0515.58022


MSC:

37C75 Stability theory for smooth dynamical systems
34D30 Structural stability and analogous concepts of solutions to ordinary differential equations
37D99 Dynamical systems with hyperbolic behavior
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References:

[1] DOI: 10.1090/pspum/014/0271971 · doi:10.1090/pspum/014/0271971
[2] DOI: 10.1090/S0002-9947-1971-0283812-3 · doi:10.1090/S0002-9947-1971-0283812-3
[3] Stability, measure zero, and dimension two implies hyperbolicity
[4] DOI: 10.1016/0022-0396(76)90004-8 · Zbl 0343.58009 · doi:10.1016/0022-0396(76)90004-8
[5] Proc. of Sympo. Pure Math. (Global Analysis), XIV, Amer. Math. Soc pp 223– (1970)
[6] Dynamical systems-Salvador (1973)
[7] Proc. of Sympo. Pure Math. (Global Analysis), XIV, Amer. Math. Soc pp 221–
[8] A structural stability theorem. Ann. of Math 94 pp 447– (1971) · Zbl 0224.58005
[9] Indag. Math 30 pp 479– (1968)
[11] 17 pp 383– (1978)
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[16] Proc. of Sympo. Pure Math. (Global Analysis) XIV, Amer. Math. Soc pp 133– (1970)
[17] DOI: 10.1007/BF01404552 · Zbl 0191.21701 · doi:10.1007/BF01404552
[18] DOI: 10.1090/S0002-9904-1967-11798-1 · Zbl 0202.55202 · doi:10.1090/S0002-9904-1967-11798-1
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