Geodesic
The weakly dissipative version of the Kolmogorov–Arnold–Moser theory and practical calculations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 473-490 Cet article a éte moissonné depuis la source Math-Net.Ru

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The weakly dissipative version of the Kolmogorov–Arnold–Moser theory deals with the dynamics of systems that are a weakly dissipative perturbation of Hamiltonian systems. In the framework of this approach, both regular (asymptotically stable (unstable) periodic motions) and stochastic (Arnold's web) dynamic properties are combined in the phase space. In this case, computer calculations are considerably simplified for the regular dynamics, which makes it possible to estimate physical parameters for stochastic components. A simple example of this approach is presented. 
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R. I. Bogdanov; M. R. Bogdanov. The weakly dissipative version of the Kolmogorov–Arnold–Moser theory and practical calculations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 3, pp. 473-490. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_3_a8/

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