Avrutin, Viktor; Zhusubaliyev, Zhanybai T. Piecewise-linear map for studying border collision phenomena in DC/AC converters. (English) Zbl 1452.37094 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2030015, 23 p. (2020). Reviewer: Liviu Goraş (Iaşi) MSC: 37N35 37G10 37G15 94C05 70K55 70K50 × Cite Format Result Cite Review PDF Full Text: DOI
Sushko, Iryna; Tramontana, Fabio; Westerhoff, Frank; Avrutin, Viktor Symmetry breaking in a bull and bear financial market model. (English) Zbl 1354.91179 Chaos Solitons Fractals 79, 57-72 (2015). MSC: 91G80 91B55 37N40 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Panchuk, Anastasiia; Sushko, Iryna; Avrutin, Viktor Bifurcation structures in a bimodal piecewise linear map: chaotic dynamics. (English) Zbl 1314.37037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 3, Article ID 1530006, 28 p. (2015). MSC: 37G20 × Cite Format Result Cite Review PDF Full Text: DOI
Panchuk, Anastasiia; Sushko, Iryna; Schenke, Björn; Avrutin, Viktor Bifurcation structures in a bimodal piecewise linear map: regular dynamics. (English) Zbl 1284.37031 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 12, Article ID 1330040, 24 p. (2013). MSC: 37E05 37G99 × Cite Format Result Cite Review PDF Full Text: DOI
Avrutin, Viktor; Schanz, Michael; Schenke, Björn Breaking the continuity of a piecewise linear map. (English. French summary) Zbl 1360.37094 ESAIM, Proc. 36, 73-105 (2012). MSC: 37E05 37G10 37G35 × Cite Format Result Cite Review PDF Full Text: DOI
Avrutin, Viktor; Schanz, Michael; Gardini, Laura Calculation of bifurcation curves by map replacement. (English) Zbl 1204.37037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 10, 3105-3135 (2010). MSC: 37E05 37G99 × Cite Format Result Cite Review PDF Full Text: DOI
Avrutin, Viktor; Schanz, Michael On multi-parametric bifurcations in a scalar piecewise-linear map. (English) Zbl 1087.37027 Nonlinearity 19, No. 3, 531-552 (2006). MSC: 37E05 37G15 × Cite Format Result Cite Review PDF Full Text: DOI Link