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Shadowing Trajectories of Dynamical Systems

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Computer Aided Proofs in Analysis

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 28))

Abstract

Computer simulation of the trajectories of deterministic systems involve truncation and rounding errors. A theorem is presented which describes a computer-assisted method for checking whether there is a true trajectory near the computer-generated one.

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References

  1. R. Bowen, ω-limit sets for Axiom A diffeomorphisms, J. of Differential Equations, 18 (1975), pp. 333–339.

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  4. T. Sauer and J. Yorke, A shadowing theorem for differential equations.

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© 1991 Springer-Verlag New York Inc.

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Sauer, T., Yorke, J.A. (1991). Shadowing Trajectories of Dynamical Systems. In: Meyer, K.R., Schmidt, D.S. (eds) Computer Aided Proofs in Analysis. The IMA Volumes in Mathematics and Its Applications, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9092-3_19

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  • DOI: https://doi.org/10.1007/978-1-4613-9092-3_19

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9094-7

  • Online ISBN: 978-1-4613-9092-3

  • eBook Packages: Springer Book Archive

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