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Attractors and quasi-attractors of a flow

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Abstract

In this paper, the connection among the attractor, the attractor neighborhood and the domain of influence are investigated. A necessary and sufficient condition of the existence of the quasi-attractor is established. Some results of Conley in [2] are generalized.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Beijing Jiaotong University, 100044, Beijing, P. R. China

    Chunyan Zuo & Xiaoxia Wang

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  1. Chunyan Zuo
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  2. Xiaoxia Wang
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Correspondence to Xiaoxia Wang.

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Supported by the Natural Science Foundation of Beijing under grant 4052022.

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Zuo, C., Wang, X. Attractors and quasi-attractors of a flow. J. Appl. Math. Comput. 23, 411–417 (2007). https://doi.org/10.1007/BF02831987

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  • DOI: https://doi.org/10.1007/BF02831987

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