7 citations · 14 across the 3 of their papers we have counts for
3 papers
math.DS2013★ 1 cited
Integrability of the double pendulum -- the Ramis' question
Vladimir Salnikov
In this short note we address the problem of integrability of a double pendulum in the constant gravity field. We show its non-integrability using the combination of algebraic and…
math.DS2012★ 6 cited
Effective algorithm of analysis of integrability via the Ziglin's method
Vladimir Salnikov
In this paper we continue the description of the possibilities to use numerical simulations for mathematically rigorous computer assisted analysis of integrability of dynamical sys…
math.DS2012★ 7 cited
On numerical approaches to the analysis of topology of the phase space for dynamical integrability
Vladimir Salnikov
In this paper we consider the possibility to use numerical simulations for a computer assisted analysis of integrability of dynamical systems. We formulate a rather general method…