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Viktor Avrutin
Viktor Avrutin
Verified email at ist.uni-stuttgart.de - Homepage
Title
Cited by
Cited by
Year
Continuous and discontinuous piecewise-smooth one-dimensional maps: invariant sets and bifurcation structures
V Avrutin, L Gardini, I Sushko, F Tramontana
1352019
On multi-parametric bifurcations in a scalar piecewise-linear map
V Avrutin, M Schanz
Nonlinearity 19, 531, 2006
1152006
Multi-parametric bifurcations in a piecewise–linear discontinuous map
V Avrutin, M Schanz, S Banerjee
Nonlinearity 19, 1875, 2006
1122006
BORDER-COLLISION BIFURCATIONS IN 1D PIECEWISE-LINEAR MAPS AND LEONOV’S APPROACH
L Gardini, F Tramontana, V Avrutin, M Schanz
International Journal of Bifurcation and Chaos 20 (10), 3085-3104, 2010
842010
Critical homoclinic orbits lead to snap-back repellers
L Gardini, I Sushko, V Avrutin, M Schanz
Chaos, Solitons & Fractals, 2011
592011
Calculation of bifurcation curves by map replacement
V Avrutin, M Schanz, L Gardini
International Journal of Bifurcation and Chaos 20 (10), 3105, 2010
572010
Bifurcation structure in the skew tent map and its application as a border collision normal form
I Sushko, V Avrutin, L Gardini
Journal of Difference Equations and Applications 22 (8), 1040-1087, 2016
562016
On the fully developed bandcount adding scenario
V Avrutin, M Schanz
Nonlinearity 21, 1077, 2008
542008
Codimension-three bifurcations: Explanation of the complex one-, two-, and three-dimensional bifurcation structures in nonsmooth maps
V Avrutin, M Schanz, S Banerjee
Physical Review E 75 (6), 066205, 2007
492007
Codimension-2 border collision, bifurcations in one-dimensional, discontinuous piecewise smooth maps
L Gardini, V Avrutin, I Sushko
International Journal of Bifurcation and Chaos 24 (02), 1450024, 2014
432014
Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps
V Avrutin, A Granados, M Schanz
Nonlinearity 24, 2575, 2011
432011
Onset of chaos in a single-phase power electronic inverter
V Avrutin, E Mosekilde, ZT Zhusubaliyev, L Gardini
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (4), 2015
422015
Nonsmooth one-dimensional maps: some basic concepts and definitions
I Sushko, L Gardini, V Avrutin
Journal of difference equations and applications 22 (12), 1816-1870, 2016
402016
Chronic hepatitis B in pregnant women: Current trends and approaches
M Belopolskaya, V Avrutin, O Kalinina, A Dmitriev, D Gusev
World Journal of Gastroenterology 27 (23), 3279, 2021
362021
Bifurcations of chaotic attractors in one-dimensional piecewise smooth maps
V Avrutin, L Gardini, M Schanz, I Sushko
International Journal of Bifurcation and Chaos 24 (08), 1440012, 2014
362014
Border-collision period-doubling scenario
V Avrutin, M Schanz
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (2 …, 2004
352004
Bifurcation structures in a bimodal piecewise linear map: regular dynamics
A Panchuk, I Sushko, B Schenke, V Avrutin
International Journal of Bifurcation and Chaos 23 (12), 1330040, 2013
342013
Period Adding in Piecewise Linear Maps with Two Discontinuities
F Tramontana, L Gardini, V Avrutin, M Schanz
International Journal of Bifurcation and Chaos, 2012
342012
Einführung in die Informatik
V Claus
(No Title), 1975
311975
A gallery of bifurcation scenarios in piecewise smooth 1D maps
V Avrutin, I Sushko
Global Analysis of Dynamic Models in Economics and Finance: Essays in Honour …, 2013
302013
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