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