hypersynchronization.rhs_23_sym#

hypersynchronization.rhs_23_sym(t, theta, omega, k1, k2, links, triangles)[source]#

Right-hand side of the ODE for any hypergraph with links and triangles.

Coupling functions: sin(theta_j - theta_i) and sin(theta_j + theta_k - 2*theta_i). Normalised by mean pairwise degree and mean triadic degree.

Parameters:

tfloat: Time (unused, present for compatibility with integrators).
thetanumpy.ndarray: Phases of the oscillators at time t.
omegafloat or numpy.ndarray: Natural frequencies of the oscillators.
k1float: Pairwise coupling strength.
k2float: Triadic coupling strength.
linkslist of tuples: Pairwise edges, each as a tuple/list/set of two node indices.
triangleslist of tuples: Triadic edges, each as a tuple/list/set of three node indices.

Returns: