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On the numerical computation of orbits of dynamical systems: The one-dimensional case

โœ Scribed by Shui-Nee Chow; Kenneth J. Palmer

Book ID
112469843
Publisher
Springer US
Year
1991
Tongue
English
Weight
550 KB
Volume
3
Category
Article
ISSN
1040-7294

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๐Ÿ“œ SIMILAR VOLUMES

On the numerical computation of orbits o
On the numerical computation of orbits of dynamical systems: The higher dimensional case
โœ Shui-Nee Chow; Kenneth J Palmer ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 969 KB

Chaotic dynamical systems exhibit sensitive dependence to initial conditions. So, because of round-off error, a computed orbit diverges at an exponential rate from the true orbit with the same initial condition. Nevertheless, we are able to exploit the hyperbolicity of the dynamical system to prove