eg. a nonlinear system like Lokta Voterra model: LV := [diff(x(t), t) = 0.2e-1*x(t)-0.5e-2*x(t)*y(t), diff(y(t), t) = 0.1e-1*x(t)*y(t)-0.1e-1*y(t)] the Jacobian matrix of the right part of these two equations are sth like: [0.02-0.05y -0.005x] [0.01y 0.01x-0.01] (i used the style of matlab to show this matrix) now, i'd like to know how the eigenvalues of this Jacobian matrix change with time t. Could you please tell me some ideas or suggestions on this problem thx!

eg. a nonlinear system like Lokta Voterra model: LV := [diff(x(t), t) = 0.2e-1*x(t)-0.5e-2*x(t)*y(t), diff(y(t), t) = 0.1e-1*x(t)*y(t)-0.1e-1*y(t)] the Jacobian matrix of the right part of these two equations are sth like: [0.02-0.05y -0.005x] [0.01y 0.01x-0.01] (i used the style of matlab to show this matrix) now, i'd like to know how the eigenvalues of this Jacobian matrix change with time t. Could you please tell me some ideas or suggestions on this problem thx!