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The Method of Modular Smoothing

  • Nikola Buric
  • Ian C. Percival
Part of the NATO ASI Series book series (NSSB, volume 331)

Abstract

Since the KAM theorem on the existence of regular motion was proved over 30 years ago, the great advances in the rigorous theory and the deeper understanding of Hamiltonian systems have not been reflected adequately in the practical applications. The primary aim of the method of modular smoothing is to help to remedy this situation by developing practical methods based on these advances.

Keywords

Hamiltonian System Critical Function Wave Model Transformation Property Modular Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1).
    N. Buric, I.C. Percival and F. Vivaldi, Critical function and modular smoothing, Nonlinearity 3: 21 (1990).CrossRefzbMATHMathSciNetADSGoogle Scholar
  2. 2).
    N. Buric and I.C. Percival, Modular smoothing and finite perturbation theory, Nonlinearity 4: 981 (1991).CrossRefzbMATHMathSciNetADSGoogle Scholar
  3. 3).
    O. Piro, N. Buric and I.C. Percival, Exact results on the critical function for the motion of an electron driven by two plane waves, Phys. Lett. A, 165: 320 (1992).CrossRefMathSciNetADSGoogle Scholar
  4. 4).
    N. Buric and I.C. Percival, Modular smoothing and KAM tori, accepted in Physica D (1993).Google Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Nikola Buric
    • 1
  • Ian C. Percival
    • 1
    • 2
  1. 1.School of Mathematical SciencesQueen Mary & Westfield College, University of LondonUK
  2. 2.Department of PhysicsQueen Mary & Westfield College, University of LondonUK

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