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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
11 - 20 of 48
- Gevrey asymptotic properties of invariant manifolds in slow-fast systems(2019)
Authors: Karel KENENS, Peter DE MAESSCHALCK
Number of pages: 126 - Gevrey asymptotics of slow manifolds in singularly perturbed delay equations(2019)Series: Trends in Mathematics
Authors: Karel KENENS, Peter DE MAESSCHALCK
Pages: 183 - 192 - Normal linearization and transition map near a saddle connection with symmetric resonances(2018)
Authors: Peter DE MAESSCHALCK, Vincent NAUDOT, Jeroen WYNEN
Pages: 1442 - 1474 - Gevrey normal form for unfoldings of nilpotent contact points of a planar slow-fast systems(2017)
Authors: Peter DE MAESSCHALCK, Thai Son Doan
Pages: 2597 - 2621 - Semi-local normal forms of saddle connections and a study of non-elementary singularities(2017)
Authors: Jeroen WYNEN, Peter DE MAESSCHALCK
Number of pages: 154 - The entry-exit function and geometric singular perturbation theory(2016)
Authors: Peter DE MAESSCHALCK, Stephen Schecter
Pages: 6697 - 6715 - Sector-delayed-Hopf-type mixed-mode oscillations in a prototypical three-time-scale model(2016)
Authors: Peter DE MAESSCHALCK, Ekaterina KUTAFINA, N. Popovic
Pages: 337 - 352 - Cyclicity of a fake saddle inside the quadratic vector fields(2015)
Authors: Peter DE MAESSCHALCK, S. Rebollo-Perdomo, J. Torregrosa
Pages: 588 - 620 - Planar Canards with Transcritical Intersections(2015)
Authors: Peter DE MAESSCHALCK
Pages: 159 - 184 - Partial linearization for planar nonautonomous differential equations(2015)
Authors: Patrick BONCKAERT, Peter DE MAESSCHALCK, T. S. Doan, S. Siegmund
Pages: 1618 - 1652