46 citations · 102 across the 26 of their papers we have counts for
5 papers · 2 filters
A continuum of path-dependent equilibrium solutions induced by sticky expectations
Pavel Krejci, Eyram Kwame, Harbir Lamba +1
We analyze a simple macroeconomic model where rational inflation expectations is replaced by a boundedly rational, and genuinely sticky, response to changes in the actual inflation…
Global stability of a piecewise linear macroeconomic model with a continuum of equilibrium states and sticky expectation
Pavel Krejci, Harbir Lamba, Dmitrii Rachinskii
We consider piecewise linear discrete time macroeconomic models, which possess a continuum of equilibrium states. These systems are obtained by replacing rational inflation expecta…
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…