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Infinitely many multi-pulses near a bifocal cycle

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  • The entire dynamics in a neighbourhood of a reversible heteroclinic cycle involving a bifocus is far from being understood. In this article, using the well known theory of reversing symmetries, we prove that there are infinitely many pulses near a cycle involving two symmetric equilibria, a real saddle and a bifocus, giving rise to a complex network. We also conjecture that suspended blenders might appear in the neighbourhood of the network.
    Mathematics Subject Classification: Primary: 37C29; Secondary: 34C28, 37C27, 37C20.


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