Abstract
We study the double singular point of nonlinearZ 2-symmetric systems with two parameters, where the systems have a two-dimensional null space. We show the existence of a path of heteroclinic cycles bifurcating from the double singular point, thus provide a new approach through local steady-state bifurcations to global dynamical bifurcations.
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Wu, W., Zou, Y. & Huang, M. Heteroclinic cycles emanating from local bifurcations. Manuscripta Math 85, 381–392 (1994). https://doi.org/10.1007/BF02568205
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DOI: https://doi.org/10.1007/BF02568205