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Researcher
Peter DE MAESSCHALCK
- Keywords:Mathematics
- Disciplines:Dynamical systems and ergodic theory, Ordinary differential equations, Real functions, Sequences, series, summability
Affiliations
- Mathematics and statistics (Department)
Member
From1 Jan 2013 → Today - Dynamical Systems (Research group)
Responsible
From1 Oct 2012 → Today - Dynamical Systems (Research group)
Member
From16 Sep 1997 → Today - Faculty of Sciences (Faculty)
Member
From16 Sep 1997 → Today - Pure Mathematics (Department)
Member
From1 Oct 2001 → 31 Dec 2012 - Mathematics-Physics-Informatics (Division)
Member
From16 Sep 1997 → 30 Sep 2009
Projects
1 - 10 of 13
- Transseries and superexact asymptotics in ordinary and partial differential equationsFrom1 Nov 2022 → TodayFunding: FWO fellowships
- Slow-fast systems with non-invertible first return mapsFrom1 Jan 2022 → TodayFunding: International Cooperation and Mobility
- Transseries and superexact asymptotics in ordinary and partial differential equationsFrom1 Nov 2020 → 31 Oct 2022Funding: FWO fellowships
- Theory and applications of delay affected processes on multiple time scalesFrom1 Jun 2019 → 31 Aug 2019Funding: BOF - mobility
- Qualitative theory of multi-scale dynamical systems and applicationsFrom1 Jan 2018 → 31 Dec 2019Funding: International Cooperation and Mobility
- Singularly pertubed delay equations and their applicationsFrom1 Jan 2016 → 31 Mar 2016Funding: BOF - Doctoral projects
- Local models and normal forms of slow-fast systems near Hopf and Bogdanov-Takens bifurcationsFrom1 Jan 2016 → 31 Dec 2019Funding: BOF - Doctoral projects
- Normal forms at resonant saddles after blow-upFrom15 Jun 2014 → 14 Jul 2014Funding: BOF - Doctoral projects
- Qualitative theory for nonautonomous dynamical systems and applicationsFrom1 Jan 2014 → 31 Dec 2015Funding: International Cooperation and Mobility
- Periodic orbits near a cuspidal loopFrom1 Oct 2013 → 30 Sep 2017Funding: BOF - Doctoral projects
Publications
1 - 10 of 48
- Critical periods in planar polynomial centers near a maximum number of cusps(2024)
Authors: Peter DE MAESSCHALCK, Joan Torregrosa
Pages: 181 - 197 - Homoclinic solutions in finite and infinite dimensional systems(2023)
Authors: Maikel BOSSCHAERT, Peter DE MAESSCHALCK
Number of pages: 330 - Minkowski Dimension and Slow–Fast Polynomial Liénard Equations Near Infinity(2023)
Authors: Peter DE MAESSCHALCK, Renato HUZAK, Ansfried JANSSENS, Goran Radunovic
- Side-Comparison for Transition Maps in Multi-Layer Canard Problems(2023)
Authors: Peter DE MAESSCHALCK, Freddy DUMORTIER, Robert Roussarie
Pages: 763 - 780 - Fractal codimension of nilpotent contact points in two-dimensional slow-fast systems(2023)
Authors: Peter DE MAESSCHALCK, Renato HUZAK, Ansfried JANSSENS, Goran Radunovic
Pages: 162 - 192 - Jump-induced mixed-mode oscillations through piecewise-affine maps(2021)
Authors: Yiorgos PATSIOS, Renato HUZAK, Peter DE MAESSCHALCK, Nikola Popović
Pages: 125641 - Intrinsic Determination of the Criticality of a Slow–Fast Hopf Bifurcation(2021)
Authors: Peter DE MAESSCHALCK, Thai Son Doan, Jeroen WYNEN
Pages: 2253 - 2269 - Relaxation oscillations and canards of a regulated two-gene model(2021)
Authors: Peter DE MAESSCHALCK, G Kiss, A Kovacs
- Asymptotic lower bounds on Hilbert numbers using canard cycles(2020)
Authors: Maria Jesus Alvarez, Bartomeu Coll, Peter DE MAESSCHALCK, Rafel Prohens
Pages: 3370 - 3391 - Gevrey asymptotic properties of slow manifolds(2020)
Authors: Peter DE MAESSCHALCK, Karel KENENS
Pages: 341 - 387