Turing reaction-diffusion 2x2 Jacobian: characteristic polynomial via Cayley-Hamilton

Turing reaction-diffusion framework via Cayley-Hamilton. Setup: activator-inhibitor system du/dt = f(u, v) + D_u d_xx u, dv/dt = g(u, v) + D_v d_xx v. Linearize around homogeneous steady state (u_0, v_0) with Jacobian J = [[f_u, f_v],…