Continuous and discontinuous piecewise-smooth one-dimensional maps: invariant sets and bifurcation structures V Avrutin, L Gardini, I Sushko, F Tramontana | 126 | 2019 |
On multi-parametric bifurcations in a scalar piecewise-linear map V Avrutin, M Schanz Nonlinearity 19, 531, 2006 | 115 | 2006 |
Multi-parametric bifurcations in a piecewise–linear discontinuous map V Avrutin, M Schanz, S Banerjee Nonlinearity 19, 1875, 2006 | 112 | 2006 |
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 | 83 | 2010 |
Critical homoclinic orbits lead to snap-back repellers L Gardini, I Sushko, V Avrutin, M Schanz Chaos, Solitons & Fractals, 2011 | 58 | 2011 |
Calculation of bifurcation curves by map replacement V Avrutin, M Schanz, L Gardini International Journal of Bifurcation and Chaos 20 (10), 3105, 2010 | 57 | 2010 |
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 | 54 | 2016 |
On the fully developed bandcount adding scenario V Avrutin, M Schanz Nonlinearity 21, 1077, 2008 | 54 | 2008 |
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 | 49 | 2007 |
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 | 43 | 2014 |
Sufficient conditions for a period incrementing big bang bifurcation in one-dimensional maps V Avrutin, A Granados, M Schanz Nonlinearity 24, 2575, 2011 | 43 | 2011 |
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 | 41 | 2015 |
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 | 40 | 2016 |
Border-collision period-doubling scenario V Avrutin, M Schanz Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 70 (2 …, 2004 | 35 | 2004 |
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 | 34 | 2014 |
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 | 34 | 2013 |
Period Adding in Piecewise Linear Maps with Two Discontinuities F Tramontana, L Gardini, V Avrutin, M Schanz International Journal of Bifurcation and Chaos, 2012 | 34 | 2012 |
Einführung in die Informatik V Claus (No Title), 1975 | 31 | 1975 |
Influence of a square-root singularity on the behaviour of piecewise smooth maps V Avrutin, PS Dutta, M Schanz, S Banerjee Nonlinearity 23, 445, 2010 | 30 | 2010 |
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 | 29 | 2021 |