I am working on a problem, where I have arrived at the following nonlinear state space equation:(adsbygoogle = window.adsbygoogle || []).push({});

dx_{1}/dt = x_{2};

dx_{2}/dt = c11 x_{1}+ c21x_{2}+ c31x_{3}+ c41x_{4}+ c51x_{1}x_{2}^{2};

dx_{3}/dt = x_{4};

dx_{4}/dt = c12 x_{1}+ c22x_{2}+ c32x_{3}+ c42x_{4}+ c52x_{1}x_{2}^{2};

c11, c21, c31, c41, c51, c12, c22, c32, c42, c52 are all a function of a system parameter. I want to compute sensitivity of the system subject to parameter changes. The system has a stable equilibrium at (0,0,0,0) and I want to understand the affect of parameter changes on the stability. Can anyone suggest how I can approach this problem, as the system is nonlinear?

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# Parameter sensitivity analysis for nonlinear system

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