Shadowing Theorem
المؤلف:
Ott, E.
المصدر:
Chaos in Dynamical Systems. New York: Cambridge University Press
الجزء والصفحة:
pp. 18-19
11-9-2021
1152
Shadowing Theorem
Although a numerically computed chaotic trajectory diverges exponentially from the true trajectory with the same initial coordinates, there exists an errorless trajectory with a slightly different initial condition that stays near ("shadows") the numerically computed one. Therefore, the fractal structure of chaotic trajectories seen in computer maps is real.
REFERENCES:
Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 18-19, 1993.
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