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math.DS2024
How many points converge to a heteroclinic network in an aperiodic way?
Christian Bick, Alexander Lohse
Homoclinic and heteroclinic connections can form cycles and networks in phase space, which organize global phenomena in dynamical systems. On the one hand, stability notions for (o…
math.DS2023★ 3 cited
Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions
Christian Bick, Sören von der Gracht
Heteroclinic structures organize global features of dynamical systems. We analyze whether heteroclinic structures can arise in network dynamics with higher-order interactions which…