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Part of the book series: Mathematics and Its Applications ((MAIA,volume 64))

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Abstract

We review a simple model of laser damage in the context of Hamiltonian Chaos. A novel method of finding the last KAM is presented, based on a convergence theorem of continued fractions. The critical value of the field corresponding to the destruction of the last KAM is obtained. This value compares very well with the one obtained from the phase space plots.

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© 1991 Springer Science+Business Media Dordrecht

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Becker, W., Fuka, M., McIver, J.K., Orszag, M., Ramírez, R. (1991). Hamiltonian Chaos in a Laser Damage Model. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_4

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  • DOI: https://doi.org/10.1007/978-94-011-3442-2_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5522-2

  • Online ISBN: 978-94-011-3442-2

  • eBook Packages: Springer Book Archive

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