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Continued Fractions and Chaos
Robert M. Corless
Dept. Applied Math
University of Western Ontario
London, Ontario
Canada
A list of Figures
A list of
math
activations
Introduction
Summary of Classical Results
Classical Results Interpreted in Dynamical Systems Terminology
Periodic and Fixed Points of the Gauss Map
Aperiodic Points
Lyapunov Exponents
Remark.
Ergodic Results
The Floating-Point Gauss Map
Orbits under are close to orbits under G.
Remark.
Example
A new method for calculating .
Remarks.
Conclusion
Acknowledgments
References
Glossary
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