10 citations · 18 across the 8 of their papers we have counts for
8 papers
Dynamical integrity of the safe basins in a problem of forced escape
Pavel Kravetc, Oleg Gendelman, Alexander Fidlin
This paper explores the use of the Approximation of Isolated Resonance (AIR) method for determining the safe basins (SBs) in the problem of escape from a potential well. The study…
Approximation of potential function in the problem of forced escape
Pavel Kravetc, Oleg Gendelman
The paper addresses an escape of a classical particle from a potential well under harmonic forcing. Most dangerous/efficient escape dynamics reveals itself in conditions of 1:1 res…
Analytic exploration of safe basins in a benchmark problem of forced escape
Gleb Karmi, Pavel Kravetc, Oleg Gendelman
The paper presents an analytical approach for predicting the safe basins (SB) in a plane of initial conditions (IC) for escape of classical particle from the potential well under h…
Mixed global dynamics of forced vibro-impact oscillator with Coulomb friction
Oleg Gendelman, Pavel Kravetc, Dmitrii Rachinskii
The paper revisits a well-known model of forced vibro-impact oscillator with Amonton-Coulomb friction. In vast majority of the existing studies, this model included also viscous fr…
Chaos in Saw Map
Nikita Begun, Pavel Kravetc, Dmitrii Rachinskii
We consider dynamics of a scalar piecewise linear "saw map" with infinitely many linear segments. In particular, such maps are generated as a Poincaré map of simple two-dimensional…
Hopf Bifurcation of Relative Periodic Solutions: Case Study of a Ring of Passively Mode-Locked Lasers
Zalman Balanov, Pavel Kravetc, Wieslaw Krawcewicz +1
In this paper, we consider an equivariant Hopf bifurcation of relative periodic solutions from relative equilibria in systems of functional differential equations respecting $Γ\tim…
Equivariant Versions of Odd Number Theorem
Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii
We consider the problem of stabilization of unstable periodic solutions to autonomous systems by the non-invasive delayed feedback control known as Pyragas control method. The Odd…
Pulsating dynamics of slow-fast population models with delay
Pavel Kravetc, Dmitrii Rachinskii, Andrei Vladimirov
We discuss a bifurcation scenario which creates periodic pulsating solutions in slow-fast delayed systems through a cascade of almost simultaneous Hopf bifurcations. This scenario…