# Number of parameters for a nonlinear differential equation

by marellasunny
Tags: nonlinear dynamcs
 P: 226 Take for example a system $\frac{dx_i}{dt}$=(x_i,t,a,b,....) i-number of state equations. What would be the maximum number of parameters permitted for this system of non-linear differential equations? Is it finally determined by the solution space?Is there a criteria for number of parameters in a system of differential equations?