6533b85ffe1ef96bd12c251a

RESEARCH PRODUCT

NUMERICAL IMPLEMENTATION OF A K.A.M. ALGORITHM

H. R. Jauslin

subject

Quadratic equationComputational Theory and MathematicsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTorusInvariant (physics)AlgorithmMathematical PhysicsComputer Science ApplicationsMathematics

description

We discuss a numerical implementation of a K.A.M. algorithm to determine invariant tori, for systems that are quadratic in the action variables. The method has the advantage that the iteration procedure does not produce higher order terms in the actions, allowing thus a systematic control of the convergence.

https://doi.org/10.1142/s0129183193000331