Invariant curves for numerical methods
نویسندگان
چکیده
منابع مشابه
Invariant Curves for Numerical Methods
The problem of finding periodic orbits of dynamical systems numerically is considered. It is shown that if a convergent, strongly stable, multi-step method is employed then under some suitable conditions, there exist invariant curves. The result also shows that the rates of convergence toward the invariant curves are roughly the same for different methods and different step sizes. Introduction....
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To Amanda and our child iii ACKNOWLEDGEMENTS First and foremost, the author thanks his advisor for being available for frequent discussions about hyperbolicity, Fréchet derivatives, and other minutiae. Thanks also go to the School of Mathematics at Georgia Tech for supporting the author financially with a teaching assistantship for two years, and to the National Science
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1985
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/814235