Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps

Autor: Sergey Kryzhevich, Viktor Avrutin, Nikita Begun, Dmitrii Rachinskii, Khosro Tajbakhsh

Publikováno v: Axioms, Vol 10, Iss 2, p 80 (2021)

We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties. Further, we study how the invariant measures depend on the parameter

Externí odkaz: https://doaj.org/article/e4a850e077fc44f9b1f6c38fcee7d5b9

Dynamics in Braess Paradox with Nonimpulsive Commuters

Autor: Arianna Dal Forno, Ugo Merlone, Viktor Avrutin

Publikováno v: Discrete Dynamics in Nature and Society, Vol 2015 (2015)

In Braess paradox the addiction of an extra resource creates a social dilemma in which the individual rationality leads to collective irrationality. In the literature, the dynamics has been analyzed when considering impulsive commuters, i.e., those w

Externí odkaz: https://doaj.org/article/61e31df8699c4bed897765cf86825b8f

Bifurcation Structure in a Bimodal Piecewise Linear Business Cycle Model

Autor: Viktor Avrutin, Iryna Sushko, Fabio Tramontana

Publikováno v: Abstract and Applied Analysis, Vol 2014 (2014)

We study the bifurcation structure of the parameter space of a 1D continuous piecewise linear bimodal map which describes dynamics of a business cycle model introduced by Day-Shafer. In particular, we obtain the analytical expression of the boundarie

Externí odkaz: https://doaj.org/article/bcf9a9e51f054051a4fcbc887f3b13f9

Periods 1 + 2 imply chaos in steep or nonsmooth maps

Autor: Mike R Jeffrey, Viktor Avrutin

Publikováno v: Jeffrey, M R & Avrutin, V 2022, ' Periods 1+2 implies chaos in steep or nonsmooth maps ', Nonlinearity, vol. 35, no. 12 . https://doi.org/10.1088/1361-6544/ac9506

Maps with discontinuities can be shown to have many of the same properties of continuous maps if we include hidden orbits—solutions that include points lying on a discontinuity. We show here how the well known property that ‘period 3 implies chao

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61e01cf15d0252a392c14ecea3377d41
https://doi.org/10.1088/1361-6544/ac9506

Non-visible transformations of chaotic attractors due to their ultra-low density in AC–DC power factor correction converters

Autor: Viktor Avrutin, Abdelali El Aroudi, Zhanybai T. Zhusubaliyev

Publikováno v: Nonlinear Dynamics. 102:2905-2924

Recently, it has been shown that DC–AC and AC–DC power converters whose dynamics is governed by two vastly different frequencies lead to a special class of piecewise smooth models characterized by a practically unpredictable number of switching m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6467e96b6a6cb369d3e5b3a3c754b2e6
https://doi.org/10.1007/s11071-020-06077-5