Correction: Mean-field theory for double-well systems on degree-heterogeneous networks (Proc R Soc A (2022) 478 (20220350) DOI: 10.1098/rspa.2022.0350)

Equation (3.5) was replaced with: 1 (Equation Presented) Equations (4.4) and (4.5) were replaced with: (Equation Presented) (0.2) and u_c,u = y- ⁽¹⁾ − Dk_minΘ^∗,u, (0.3) respectively, also: (Equation Presented) (0.4) and (Equation Presented)_k kp(k)x^u(k). (0.5) The beginning of the sentence right after equation (4.5), i.e. ‘Therefore, except for regular networks (i.e. those in which all nodes have the same degree),’ has been replaced with the following text: ‘We obtain k_max >> k_min in most networks. In contrast, the values of (Equation Presented) are comparable although (Equation Presented). Therefore, except when k_max and k_min are close to each other, including the case of regular networks (i.e. those in which all nodes have the same degree),’.