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Rigorously computed orbits of dynamical systems without the wrapping effect

✍ Scribed by W. Kühn

Book ID
110625395
Publisher
Springer Vienna
Year
1998
Tongue
English
Weight
897 KB
Volume
61
Category
Article
ISSN
0010-485X

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📜 SIMILAR VOLUMES

On the numerical computation of orbits o
On the numerical computation of orbits of dynamical systems: The higher dimensional case
✍ Shui-Nee Chow; Kenneth J Palmer 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 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