- #1

Rahul Shenoy

- 1

- 0

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?