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- W2012131176 abstract "Some definitions such as m-chain recurrent set, weakly gradient flow and generalized Morse decomposition for a flow defined on a topological space are introduced in this paper. Some conclusions, include the chain recurrent set contain the m-chain recurrent set; the m-chain recurrent set contain the non-wandering set, are proved. In some flows the non-wandering set is proper subset of the m-chain recurrent set; in the meantime the m-chain recurrent set is proper subset of the chain recurrent set. Moreover some criterions for the existence of trajectories joining singular points and a necessary and sufficient condition of the weakly gradient flow are also given here. At last the generalized Morse decomposition of the invariant set are discussed in the paper." @default.
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- W2012131176 date "2001-01-03" @default.
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- W2012131176 title "The isolated invariant sets of a flow" @default.
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- W2012131176 doi "https://doi.org/10.1016/s0960-0779(99)00199-x" @default.
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