Shadowing Theorem

Although a numerically computed Chaotic trajectory diverges exponentially from the true trajectory withthe same initial coordinates, there exists an errorless trajectory with a slightly different initial condition that staysnear (``shadows'') the numerically computed one. Therefore, the Fractal structure of chaotic trajectories seen incomputer maps is real.

References

Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 18-19, 1993.

• Cayley-Bacharach Theorem
• Cayley Cubic
• Cayley Graph
• Cayley-Hamilton Theorem
• Cayleyian Curve
• Cayley-Klein-Hilbert Metric
• Cayley-Klein Parameters
• Cayley Number
• Cayley's Group Theorem
• Cayley's Hypergeometric Function Theorem
• Cayley's Ruled Surface
• Cayley's Sextic
• Cayley's Sextic Evolute
• Cayley Tree
• C-Curve
• C-Determinant
• Cech Cohomology
• Ceiling Function
• Cell
• Cellular Automaton
• Cellular Space
• Center
• Centered Cube Number
• Centered Hexagonal Number
• Centered Pentagonal Number