Least Squares Shadowing method for sensitivity analysis of differential equations

Mario Chater, Angxiu Ni, Patrick J. Blonigan +1

For a parameterized hyperbolic system $\frac{du}{dt}=f(u,s)$ the derivative of the ergodic average $⟨J⟩={\lim }_{T\to \infty }\frac{1}{T}{\int }_0^{T}J(u(t),s)$ to the par…