11. This sensitive dependence on initial conditions is a characteristic of chaotic maps. 12. This shows clearly that the maximum interval may depend on the initial conditions . 13. A very small change in initial conditions had created a significantly different outcome. 14. Each set of initial conditions is represented by a different curve, or point. 15. This sensitivity to initial conditions can be measured with Lyapunov exponents. 16. "This gives you something to compare your initial conditions to, " he said. 17. Fig . 2 : Gaspard Rice scattering system showing sensitivity to initial conditions . 18. Linear systems display sensitive dependence on initial conditions in the case of divergence. 19. The initial conditions do not affect the qualitative nature of the system's behavior. 20. On some functions, convergence occurs independently of the initial conditions with probability one.
