53 citations · 644 across the 34 of their papers we have counts for
4 papers · 1 filter
Numeric Deduction in Symbolic Computation. Application to Normalizing Transformations
Ivan I. Shevchenko
Algorithms of numeric (in exact arithmetic) deduction of analytical expressions, proposed and described by Shevchenko and Vasiliev (1993), are developed and implemented in a comput…
Marginal resonances and intermittent behaviour in the motion in the vicinity of a separatrix
Ivan I. Shevchenko
A condition upon which sporadic bursts (intermittent behaviour) of the relative energy become possible is derived for the motion in the chaotic layer around the separatrix of non-l…
On the recurrence and Lyapunov time scales of the motion near the chaos border
Ivan I. Shevchenko
Conditions for the emergence of a statistical relationship between , the chaotic transport (recurrence) time, and , the local Lyapunov time (the inverse of the numericall…
Three-lane and multi-lane signatures of planets in planetesimal disks
Tatiana V. Demidova, Ivan I. Shevchenko
In massive numerical experiments we show that a planet embedded in a planetesimal disk induces a characteristic multi-lane "planetosignature" representing a pattern of several stel…