Emergent dynamics of the Lohe Hermitian sphere model with frustration

We study emergent dynamics of the Lohe Hermitian sphere (LHS) model, which can be derived from tensor model [S.-Y. Ha and H. Park, SIAM J. Appl. Dyn. Syst. 13, 1312–1342 (2020)] as a complex counterpart model. The LHS describes aggregate point particles on HSd lying in Cd+1, coupling terms consist two terms. For an identical ensemble with same free flow dynamics, we provide sufficient framework, leading to complete aggregation all form giant one-point cluster asymptotically. In contrast, for non-identical ensemble, also framework practical aggregation. Our is formulated strengths initial data. several numerical examples compare them analytical results.