Edit Profile (opens in new tab) Huzak, Renato Co-Author Distance Author ID: huzak.renato Published as: Huzak, Renato; Huzak, R. Homepage: https://www.uhasselt.be/en/who-is-who/renato-huzak External Links: ORCID · ResearchGate Documents Indexed: 31 Publications since 2013, including 4 Additional arXiv Preprints Reviewing Activity: 2 Reviews Co-Authors: 17 Co-Authors with 20 Joint Publications 259 Co-Co-Authors all top 5 Co-Authors 11 single-authored 7 De Maesschalck, Peter 4 Vlah, Domagoj 3 Radunović, Goran 3 Uldall Kristiansen, K. 3 Županović, Vesna 2 Crnković, Vlatko 2 Dumortier, Freddy 2 Janssens, Ansfried 2 Jardón-Kojakhmetov, Hildeberto 2 Resman, Maja 2 Rojas, David 1 Horvat Dmitrović, Lana 1 Kühn, Christian 1 Mardešić, Pavao 1 Patsios, Yiorgos 1 Popović, Nikola 1 Žubrinić, Darko all top 5 Serials 7 Journal of Differential Equations 4 Qualitative Theory of Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Electronic Journal of Qualitative Theory of Differential Equations 3 Communications on Pure and Applied Analysis 2 Journal of Dynamics and Differential Equations 1 Applied Mathematics and Computation 1 Proceedings of the American Mathematical Society 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Discrete and Continuous Dynamical Systems all top 5 Fields 27 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 5 Measure and integration (28-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 90 times in 43 Documents Cited by ▼ Year ▼ Slow divergence integrals in classical Liénard equations near centers. Zbl 1325.34040 De Maesschalck, Peter; Huzak, Renato 14 2015 Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. Zbl 1316.34060 Huzak, R.; De Maesschalck, P.; Dumortier, F. 14 2013 Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations. Zbl 1322.34067 Huzak, Renato; De Maesschalck, P.; Dumortier, Freddy 7 2014 Predator-prey systems with small predator’s death rate. Zbl 1413.34168 Huzak, Renato 6 2018 Box dimension and cyclicity of Canard cycles. Zbl 1402.34063 Huzak, Renato 6 2018 Slow divergence integrals in generalized Liénard equations near centers. Zbl 1324.34075 Huzak, Renato; De Maesschalck, Peter 5 2014 Cyclicity of the origin in slow-fast codimension 3 saddle and elliptic bifurcations. Zbl 1318.34077 Huzak, Renato 5 2016 Fractal analysis of canard cycles with two breaking parameters and applications. Zbl 1411.34083 Huzak, Renato; Vlah, Domagoj 5 2019 Fractal dimensions and two-dimensional slow-fast systems. Zbl 1470.34150 Huzak, Renato; Crnković, Vlatko; Vlah, Domagoj 4 2021 Regular and slow-fast codimension 4 saddle-node bifurcations. Zbl 1365.34070 Huzak, Renato 3 2017 Normal forms of Liénard type for analytic unfoldings of nilpotent singularities. Zbl 1378.37086 Huzak, Renato 3 2017 Fractal analysis of planar nilpotent singularities and numerical applications. Zbl 1476.37039 Dmitrović, Lana Horvat; Huzak, Renato; Vlah, Domagoj; Županović, Vesna 3 2021 Canard explosion near non-Liénard type slow-fast Hopf point. Zbl 1426.34071 Huzak, Renato 3 2019 Period function of planar turning points. Zbl 1474.34389 Huzak, Renato; Rojas, David 2 2021 Cyclicity of degenerate graphic \(DF_{2a}\) of Dumortier-Roussarie-Rousseau program. Zbl 1397.34060 Huzak, Renato 2 2018 Jump-induced mixed-mode oscillations through piecewise-affine maps. Zbl 1480.34079 Patsios, Yiorgos; Huzak, Renato; De Maesschalck, Peter; Popović, Nikola 2 2022 Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations. Zbl 1510.37043 Huzak, Renato; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna 2 2023 Slow divergence integral on a Möbius band. Zbl 1418.34114 Huzak, Renato 1 2019 Quartic Liénard equations with linear damping. Zbl 1430.34037 Huzak, R. 1 2019 Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems. Zbl 1516.34087 De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran 1 2023 The number of limit cycles for regularized piecewise polynomial systems is unbounded. Zbl 1512.34073 Huzak, R.; Kristiansen, K. Uldall 1 2023 Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations. Zbl 1510.37043 Huzak, Renato; Vlah, Domagoj; Žubrinić, Darko; Županović, Vesna 2 2023 Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems. Zbl 1516.34087 De Maesschalck, Peter; Huzak, Renato; Janssens, Ansfried; Radunović, Goran 1 2023 The number of limit cycles for regularized piecewise polynomial systems is unbounded. Zbl 1512.34073 Huzak, R.; Kristiansen, K. Uldall 1 2023 Jump-induced mixed-mode oscillations through piecewise-affine maps. Zbl 1480.34079 Patsios, Yiorgos; Huzak, Renato; De Maesschalck, Peter; Popović, Nikola 2 2022 Fractal dimensions and two-dimensional slow-fast systems. Zbl 1470.34150 Huzak, Renato; Crnković, Vlatko; Vlah, Domagoj 4 2021 Fractal analysis of planar nilpotent singularities and numerical applications. Zbl 1476.37039 Dmitrović, Lana Horvat; Huzak, Renato; Vlah, Domagoj; Županović, Vesna 3 2021 Period function of planar turning points. Zbl 1474.34389 Huzak, Renato; Rojas, David 2 2021 Fractal analysis of canard cycles with two breaking parameters and applications. Zbl 1411.34083 Huzak, Renato; Vlah, Domagoj 5 2019 Canard explosion near non-Liénard type slow-fast Hopf point. Zbl 1426.34071 Huzak, Renato 3 2019 Slow divergence integral on a Möbius band. Zbl 1418.34114 Huzak, Renato 1 2019 Quartic Liénard equations with linear damping. Zbl 1430.34037 Huzak, R. 1 2019 Predator-prey systems with small predator’s death rate. Zbl 1413.34168 Huzak, Renato 6 2018 Box dimension and cyclicity of Canard cycles. Zbl 1402.34063 Huzak, Renato 6 2018 Cyclicity of degenerate graphic \(DF_{2a}\) of Dumortier-Roussarie-Rousseau program. Zbl 1397.34060 Huzak, Renato 2 2018 Regular and slow-fast codimension 4 saddle-node bifurcations. Zbl 1365.34070 Huzak, Renato 3 2017 Normal forms of Liénard type for analytic unfoldings of nilpotent singularities. Zbl 1378.37086 Huzak, Renato 3 2017 Cyclicity of the origin in slow-fast codimension 3 saddle and elliptic bifurcations. Zbl 1318.34077 Huzak, Renato 5 2016 Slow divergence integrals in classical Liénard equations near centers. Zbl 1325.34040 De Maesschalck, Peter; Huzak, Renato 14 2015 Primary birth of canard cycles in slow-fast codimension 3 elliptic bifurcations. Zbl 1322.34067 Huzak, Renato; De Maesschalck, P.; Dumortier, Freddy 7 2014 Slow divergence integrals in generalized Liénard equations near centers. Zbl 1324.34075 Huzak, Renato; De Maesschalck, Peter 5 2014 Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. Zbl 1316.34060 Huzak, R.; De Maesschalck, P.; Dumortier, F. 14 2013 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 19 Huzak, Renato 8 De Maesschalck, Peter 4 Vlah, Domagoj 3 Llibre, Jaume 2 Bi, Qinsheng 2 Dumortier, Freddy 2 Hsu, Ting-Hao 2 Janssens, Ansfried 2 Ma, Xindong 2 Radunović, Goran 2 Uldall Kristiansen, K. 2 Zhang, Xiang 2 Županović, Vesna 1 Ai, Shangbing 1 Alvarez, María Jesus 1 Chen, Fengde 1 Chen, Hebai 1 Chen, Jialin 1 Chen, Xiaofeng 1 Coll, Bartomeu 1 Crnković, Vlatko 1 Diab, Zouhair 1 Doan, Thai Son 1 García Guirao, Juan Luis 1 Glendinning, Paul Alexander 1 Golmankhaneh, Alireza Khalili 1 Gouveia, Márcio R. Alves 1 He, Xiaqing 1 Hogan, S. John 1 Homer, Martin E. 1 Horvat Dmitrović, Lana 1 Jardón-Kojakhmetov, Hildeberto 1 Jeffrey, Mike R. 1 Kamynin, Vitaly Leonidovich 1 Kühn, Christian 1 Li, Chengzhi 1 Li, Jianquan 1 Li, Jing 1 Li, Shimin 1 Ma, Zhien 1 Nápoles Valdés, Juan E. 1 Prohens, Rafel 1 Quan, Tingting 1 Rebollo-Perdomo, Salomón 1 Roberto, Luci Any F. 1 Rojas, David 1 Ruan, Shigui 1 Şevli, Hamdullah 1 Shi, Juanrong 1 Sun, Xianbo 1 Szalai, Róbert 1 Tejado, Inés 1 Torregrosa, Joan 1 Vera, Juan A. 1 Wang, Lifeng 1 Wang, Weixia 1 Wolkowicz, Gail S. K. 1 Yi, Yingfei 1 Yu, Pei 1 Zhang, Chun 1 Zhang, Wei 1 Zhu, Huaiping 1 Zhu, Zhenliang 1 Žubrinić, Darko all top 5 Cited in 21 Serials 12 Journal of Differential Equations 4 Qualitative Theory of Dynamical Systems 3 Journal of Mathematical Analysis and Applications 3 Communications on Pure and Applied Analysis 2 Applied Mathematics and Computation 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Open Mathematics all top 5 Cited in 9 Fields 41 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 5 Biology and other natural sciences (92-XX) 4 Measure and integration (28-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year