Abstract
Using the notion of an isolating block, some existence criteria of trajectories connecting two critical pints of planar dynaniiral systems are given.
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References
Conley, C.C., Smoller, J. A., Topological methods in the theory of shock waves, in Purtial Differentiul Equutions, Berkeley, 1971 (ed. Spencer, D.C.), Providence: Amer. Math. Soc., 1973, 293–302.
Conley, C. C., Some aspects of the clualitative theory of differential equations, inDynurnicul Systems, an lnterirational Symposium, Providence, 1974, Val.1 (eds. Cesari, L., Hale, J. K., LaSalle, J. P.), New York: Academic Press, 1976, 1–12.
Yu Shuxiang, The existence of trajectories joining critical points,J. Differuiltiul Equutions, 1987, 66(2): 230.
Ye Yanqian.Qualitative Theory of Polynomial Differential Systems (in Chinese), Shanghai: Shanghai Scientific & Technical Publishers, 1995.
Zhang Zhifen, Ding Tongren, Huang Wenzaoet al.,Qualitative Thery of Differential Equations (in Chinese), Beijing: Science Press, 1985.
Hartman, P.,Ordinary Differential Equations, 2nd ed., Boston: Birkhäuser. 1982.
Bendixson, I., Sur les courbes définies par des équations différentielles,Acta Math., 1901, 24:1.
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Project supported by the National Natural Science Foundation of China.
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Yu, S. Isolating block and existence of connecting orbits. Sci. China Ser. A-Math. 40, 572–577 (1997). https://doi.org/10.1007/BF02876060
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DOI: https://doi.org/10.1007/BF02876060