46 citations · 102 across the 26 of their papers we have counts for
6 papers · 1 filter
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…
The Devil is in the Details: Spectrum and Eigenvalue Distribution of the Discrete Preisach Memory Model
Tamas Kalmar-Nagy, Andreas Amann, Daniel Kim +1
We consider the adjacency matrix associated with a graph that describes transitions between states of the discrete Preisach memory model. This matrix can also be associated…
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…