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It is well known that there is a residual subset J of the space of C1-diffeomorphisms on a compact Riemannian manifold M such that the maps f → chain recurrent set of f and f → number of chain components of f are continuous on J. In this paper we get the flow version of the above results on diffeomorphisms.
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참고문헌 (15)
참고문헌 신청
C. Conley / 1972 / The gradient structure of a flow, I. B. M. Res. RC 3932. Yorktown Heights, N.Y
C. Conley / 1978 / Isolated Invariant Sets and the Morse Index / American Mathematical Society
H. Chu / 2005 / Attractors for relations in σ-compact spaces / Topology Appl. 148 (1) : 201 ~ 212
H. Chu / 2005 / Chain recurrence for multi-valued dynamical systems on noncompact spaces / Nonlinear Anal. 61 (5) : 715 ~ 723
I. U. Bronstein / 1988 / Kopanskii, Chain recurrence in dynamical systems without uniqueness / Nonlinear Anal. 12 (2) : 147 ~ 154
C. Conley / 1978 / Isolated Invariant Sets and the Morse Index / American Mathematical Society
H. Chu / 2005 / Attractors for relations in σ-compact spaces / Topology Appl. 148 (1) : 201 ~ 212
H. Chu / 2005 / Chain recurrence for multi-valued dynamical systems on noncompact spaces / Nonlinear Anal. 61 (5) : 715 ~ 723
I. U. Bronstein / 1988 / Kopanskii, Chain recurrence in dynamical systems without uniqueness / Nonlinear Anal. 12 (2) : 147 ~ 154
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