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An algorithm for detecting Directional Quasi–Convexity

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preprint
posted on 2005-07-29, 14:22 authored by Holger R. Dullin, Francesco Fasso
Directional Quasi–Convexity (DQC) is a sufficient condition for Nekhoroshev stability, that is, stability for finite but very long times, of elliptic equilibria of Hamiltonian systems. The numerical detection of DQC is elementary for system with three degrees of freedom. In this article, we propose a recursive algorithm to test DQC in any number n 4 of degrees of freedom.

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School

  • Science

Department

  • Mathematical Sciences

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242000 bytes

Publication date

2003

Notes

This pre-print has been submitted, and accepted to the journal, Bit Numerical Mathematics [© Kluwer (Springer)]. The definitive version: DULLIN, H. and FASSO, F., 2004. An algorithm for detecting Directional Quasi–Convexity. Bit Numerical Mathematics, 44(3), pp. 571-584, is available at: http://www.springerlink.com/openurl.asp?genre=journal&issn=0006-3835.

Language

  • en

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