Reference : On numerical approaches to the analysis of topology of the phase space for dynamical ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/23196
On numerical approaches to the analysis of topology of the phase space for dynamical integrability
English
Salnikov, Vladimir mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2013
Chaos, Solitons & Fractals
Pergamon Press - An Imprint of Elsevier Science
Yes (verified by ORBilu)
International
0960-0779
[en] In this paper we consider the possibility to use numerical simulations for a computer
assisted qualitative analysis of dynamical systems. We formulate a rather general method
of recovering the obstructions to dynamical integrability for the systems that after reduction have a small number of degrees of freedom. We generalize this method using the
results of KAM theory and stochastic approaches to the families of parameter depending
systems. This permits to localize possible integrability regions in the parameter space.
We give some examples of application of this approach to dynamical systems having a
mechanical origin.
http://hdl.handle.net/10993/23196

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