Chaotic Numerics

Chaotic Numerics

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Much of what is known about specific dynamical systems is obtained from numerical experiments. Although the discretization process usually has no significant effect on the results for simple, well-behaved dynamics, acute sensitivity to changes in initial conditions is a hallmark of chaotic behavior. How confident can one be that the numerical dynamics reflects that of the original system? Do numerically calculated trajectories always shadow a true one? What role does numerical analysis play in the study of dynamical systems? And conversely, can advances in dynamical systems provide new insights into numerical algorithms? These and related issues were the focus of the workshop on Chaotic Numerics, held at Deakin University in Geelong, Australia, in July 1993. The contributions to this book are based on lectures presented during the workshop and provide a broad overview of this area of research.A similar objection is that defect control is somehow a#39;unethicala#39;a€”a person who uses it isna#39;t playing the gamea#39;, where the ... It is true that interval arithmetic codes a€”enclosure methodsa€”can compute solutions to chaotic initial-value problemsanbsp;...

Title:Chaotic Numerics
Author:Peter E. Kloeden
Publisher:American Mathematical Soc. - 1994-01-01


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