Stability of Sequences Generated by Nonlinear Differential Systems
نویسندگان
چکیده
A local stability analysis is given for both the analytic and numerical solutions of the initial value problem for a system of ordinary differential equations. The standard linear stability analysis is reviewed, then it is shown that, using a proper choice of Liapunov function, a connected region of stable initial values of both the analytic solution and of the one-leg fc-step numerical solution can be approximated computationally. Correspondence between the one-leg fc-step solution and its associated linear fc-step solution is shown, and two examples are given.
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