Fig. 3: Numerical results of boundary site geometry-dependent non-Hermitian topological synchronization.

a The lattice model has a triangular contour profile with lattice length along the x- and y-axes being \({N}_{x}=40\) and \({N}_{y}=20\). b1–b5. Numerical results of five nonlinear topological boundary eigenstates with different eigenvalues using the Newton-gradient method. c1–g1, c2–g2. The numerical results of time-domain dynamics Z(t) and the corresponding frequency spectra of several represented lattice sites. The time-domain dynamics, Z(t), are shown with distinct colors corresponding to the five stars with matched colors in a.