Sensitivity Analysis of Coupled Chaotic Dynamical Systems with the Pseudo-Orbit Tracing Property

This paper focuses on the sensitivity analysis of coupled nonlinear dynamical systems, which under certain conditions exhibit the chaotic behavior. Sensitivity functions calculated via conventional methods of sensitivity analysis are inherently uninformative and inconclusive. The use of the pseudo-orbit shadowing property in dynamical systems allows calculating sensitivity functions correctly and accurately for chaotic dynamics. The “pseudo-orbit” algorithm is illustrated on the coupled multiscale nonlinear chaotic dynamical system, which is obtained by coupling the fast and slow versions of the original well-known Lorenz model.