Publikationsliste für
Peter Szmolyan
als Autorin / Autor bzw. wesentlich beteiligte Person
103 Datensätze (1993 - 2022)
Die Publikationen der TU Wien sind erst ab dem Jahr 2002 vollzählig in der Publikationsdatenbank enthalten. Publikationen aus den Jahren vor 2002 können, müssen aber nicht in der Datenbank vorhanden sein.
Bücher und Buch-Herausgaben
K. Ponweiser, W. Linzer, E. Weinmüller, P. Szmolyan:
"Ein Beitrag zur numerischen Simulation des dynamischen Verhaltens von Naturumlauf-Dampferzeugern";
VDI Verlag GmbH,
Düsseldorf,
1993,
ISBN: 3-18-148406-7;
78 S.
Zeitschriftenartikel
F. Achleitner, P. Szmolyan:
"Saddle-node bifurcation of viscous profiles";
Physica D: Nonlinear Phenomena,
241
(2012),
20;
S. 1703
- 1717.
J. Delacour, Ch. Schmeiser, P. Szmolyan:
"Long-time behaviour of a model for p62-ubiquitin aggregation in cellular autophagy";
arXiv.org e-Print archive,
https://arxiv.org/abs/2012.05201
(2020).
H. Freistühler, P. Szmolyan:
"Spectral Stability of Small Shock Waves";
Archive for Rational Mechanics and Analysis,
164
(2002),
S. 287
- 309.
H. Freistühler, P. Szmolyan:
"Spectral stability of small-amplitude viscous shock waves";
Archive for Rational Mechanics and Analysis,
195
(2010),
2;
S. 353
- 373.
H. Freistühler, P. Szmolyan, J. Wächtler:
"Spectral stability of shock waves associated with not genuinely nonlinear modes";
Journal of Differential Equations,
257
(2014),
1;
S. 185
- 206.
I. Gasser, P. Szmolyan:
"The frozen and the equilibrium flow limits in a polyatomic gas with relaxation effects";
Mathematical Models & Methods in Applied Sciences,
11
(2001),
S. 87
- 104.
I. Gasser, P. Szmolyan, J. Wächtler:
"Existence of Chapman-Jouguet Detonation and Deflagration Waves";
Journal of Mathematical Analysis and Applications,
48
(2016),
2;
S. 1400
- 1422.
M. Hayes, T. Kaper, P. Szmolyan, M. Wechselberger:
"Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations";
Indagationes Mathematicae - New Series,
27
(2016),
5;
S. 1337
- 1368.
A. Iuorio, G. Jankowiak, P. Szmolyan, M. Wolfram:
"A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour";
angenommen für Journal of Mathematical Analysis and Applications
erscheint 2022.
A. Iuorio, C. Kuehn, P. Szmolyan:
"Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem";
Discrete And Continuous Dynamical Systems-Series S,
13
(2020),
4;
S. 1269
- 1290.
A. Iuorio, N. Popovic, P. Szmolyan:
"Singular perturbation analysis of a regularized MEMS mode";
SIAM Journal on Applied Dynamical Systems,
18
(2019),
2;
S. 661
- 708.
S. Jelbart, K. Kristiansen, P. Szmolyan, M. Wechselberger:
"Singularly Perturbed Oscillators with Exponential Nonlinearities";
Journal of Dynamics and Differential Equations,
online
(2021).
I. Kosiuk, P. Szmolyan:
"Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle";
Journal of Mathematical Biology,
72
(2016),
S. 1337
- 1368.
K. Kristiansen, P. Szmolyan:
"Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit";
Nonlinearity,
34
(2021),
2;
S. 1030
- 1083.
M. Krupa, A. Schagerl, A. Steindl, P. Szmolyan, H. Troger:
"Relative equilibria of tethered satellite systems and their stability for very stiff tethers";
Dynamical Systems,
16
(2001),
3;
S. 253
- 278.
M. Krupa, P. Szmolyan:
"Blow-up analysis transcritical and pitchfork singularities";
Nonlinearity,
14
(2001),
S. 1473
- 1492.
M. Krupa, P. Szmolyan:
"Extending geometric singular perturbation theoary to nonhyperbolic points -- fold and canard points in two dimensions";
SIAM Journal on Mathematical Analysis,
33
(2001),
S. 286
- 314.
M. Krupa, P. Szmolyan:
"Relaxation oscillations and canard explosion";
Journal of Differential Equations,
174
(2001),
S. 312
- 368.
Ch. Kuehn, P. Szmolyan:
"Multiscale geometry of the Olsen model and non-classical relaxation oscillations";
Journal of Nonlinear Science,
25
(2015),
3;
S. 583
- 629.
W. Linzer, K. Ponweiser, P. Szmolyan, E. Weinmüller:
"Dynamisches Verhalten von Naturumlauf-Dampferzeugern";
BWK (Brennstoff, Wärme, Kraft), Zeitschrift des VDI für Energietechnik und Energiewirtschaft,
7/8
(1993),
S. 341
- 343.
Z. Miao, N. Popovic, P. Szmolyan:
"Oscillations in a cAMP signaling model for cell aggregation - a geometric analysis";
Journal of Mathematical Analysis and Applications,
483
(2020),
1.
K. Ponweiser, W. Linzer, E. Weinmüller, P. Szmolyan:
"Ein Beitrag zur numerischen Simulation des dynamischen Verhaltens von Naturumlauf-Dampferzeugern";
Fortschritt-Berichte VDI,
6
(1993),
284;
S. 1
- 70.
K. Ponweiser, W. Linzer, E. Weinmüller, P. Szmolyan:
"Numerical Simulation of a Natural Circulation Steam Generator";
Annals of Num. Math.,
1
(1994),
S. 483
- 490.
N. Popovic, P. Szmolyan:
"A geometric analysis of the lagerstrom model problem";
Journal of Differential Equations,
199
(2004),
S. 290
- 325.
N. Popovic, P. Szmolyan:
"Rigorous asymptotic expansions for Lagerstrom's model equation - a geometric approach";
Nonlinear Analysis: Theory, Methods & Applcations,
59
(2004),
S. 531
- 565.
Steve Schecter, P. Szmolyan:
"Composite Waves in the Dafermos Regularization";
Journal of Dynamics and Differential Equations,
16
(2004),
3;
S. 847
- 867.
P. Szmolyan, I. Gucwa:
"Geometric singular perturbation analysis of an Autocatolotor model";
Discrete and Continuous Dynamical Systems S,
2
(2009),
4;
S. 783
- 806.
P. Szmolyan, A. Huber:
"Geometric singular perturbation analysis of the Yamada Model";
SIAM Journal on Applied Dynamical Systems,
4
(2005),
3;
S. 607
- 648.
P. Szmolyan, Steve Schecter:
"Persistence of rarefactions under Dafermos regularization: blow-up and an exchange lemma for gain-of-stability turning points";
SIAM Journal on Applied Dynamical Systems,
8
(2009),
3;
S. 822
- 853.
P. Szmolyan, S. van Gils, M. Krupa:
"Computing asymptotic expansions based on blow-up";
Zeitschrift für Angewandte Mathematik und Physik,
56
(2005),
3;
S. 369
- 397.
P. Szmolyan, M. Wechselberger:
"Canards in $R^3$";
Journal of Differential Equations,
177
(2001),
2;
S. 419
- 453.
P. Szmolyan, M. Wechselberger:
"Relaxation oscillations in R3";
Journal of Differential Equations,
200
(2004),
S. 69
- 104.
H. Taghvafard, H. Jardón-Kojakhmetov, P. Szmolyan, M. Cao:
"Geometric analysis of oscillations in the Frzilator model";
Journal of Mathematical Analysis and Applications,
online
(2021).
Buchbeiträge
F. Achleitner, P. Szmolyan:
"Saddle-node bifurcation of viscous profiles";
in: "ASC Report 21/2010",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2010,
ISBN: 978-3-902627-03-2.
H. Freistühler, P. Szmolyan:
"Spectral stability of small-amplitude viscous shock waves in several space dimensions";
in: "ASC Report 28/2008",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8,
S. #ß.
I. Gucwa, P. Szmolyan:
"Geometric singular perturbation analysis of an autocatalator model";
in: "ASC Report 26/2008",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8.
I. Gucwa, P. Szmolyan:
"Scaling in singular perturbation problems: blowing-up a relaxation oscillator";
in: "ASC Report 39/2009",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2009,
ISBN: 978-3-902627-02-5.
Steve Schecter, P. Szmolyan:
"Rarefactions in the Dafermos regularization of a system of conservation laws";
in: "ASC Report 27/2008",
Vienna University of Technology,
Wien,
2008,
ISBN: 978-3-902627-01-8.
Beiträge in Tagungsbänden
P. Szmolyan, H. Steinrück:
"Analysis of the Gunn effect";
in: "Semiconductors II",
W. W. Coughran et al. (Hrg.);
Springer-Verlag,
1994,
S. 377
- 388.
Vorträge und Posterpräsentationen (mit Tagungsband-Eintrag)
A. Amirkhanov, I. Kosiuk, P. Szmolyan, A. Amirkhanov, G. Mistelbauer, E. Gröller, R. Raidou:
"ManyLands: A Journey Across 4D Phase Space of Trajectories";
Vortrag: Pacific Graphics 2019,
Seoul Korea University;
14.10.2019
- 17.10.2019; in: "Eurographics journal, Computer Graphics Forum (CGF) Volume 38, Issue 7",
Eurographics journal, Computer Graphics Forum (CGF),
Volume 38, Issue 7
(2019),
S. 191
- 202.
P. Szmolyan, K. Nipp, D. Stoffer:
"Graph transform and blow-up in singular perturbations";
Vortrag: 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2009),
Rethymno, Kreta, Griechenland;
18.09.2009
- 22.09.2009; in: "AIP Conference Proceedings",
AIP Conference Proceedings,
1168, vol.2
(2009),
S. 861
- 868.
Vorträge und Posterpräsentationen (ohne Tagungsband-Eintrag)
G. Jankowiak, A. Iuorio, P. Szmolyan, M. Wolfram:
"Stationary profiles of a model for unidirectional pedestrian flows";
Vortrag: DMV Jahrestagung 2020,
Chemnitz (eingeladen);
14.09.2020
- 17.09.2020.
Ch. Kuehn, P. Szmolyan:
"Multiscale dynamics and mixed-mode oscillations";
Vortrag: MURPHYS-HSFS-2014,
Berlin (WIAS) (eingeladen);
07.04.2014
- 11.04.2014.
Ch. Kuehn, P. Szmolyan:
"Non-Classical Relaxation Oscillations in the Olsen Model";
Vortrag: Oberseminar Differentialgleichungen 08.05.2014,
Augsburg (eingeladen);
08.05.2014.
Ch. Kuehn, P. Szmolyan:
"Oscillations in multiple time scale dynamics: Autocatalysis, Koper, Olsen, and beyond";
Vortrag: Rhythms in Complex Networks: From Theory to Experiment,
Copenhagen (eingeladen);
01.09.2014
- 03.09.2014.
Ch. Kuehn, P. Szmolyan:
"Two Examples of Geometric Desingularization of Nonstandard Systems";
Vortrag: Workshop on Slow-Fast Dynamics: Theory, Numerics, Application to Life and Earth Sciences,
Barcelona (eingeladen);
03.06.2013
- 07.06.2013.
P. Szmolyan:
" Spectral stability of small amplitude shock waves Spectral stability of small amplitude shock waves ";
Vortrag: Fourth international conference on dynamical systems and differential equations,
Wilmington, N.C., USA (eingeladen);
24.05.2002
- 27.05.2002.
P. Szmolyan:
" Stability and bifurcations of nonlinear waves";
Vortrag: Dynamic Days,
Ancona;
02.09.2004
- 04.09.2004.
P. Szmolyan:
"Advances in Geometric Singular Perturbation Theory";
Hauptvortrag: Multiscale Phenomena in Geometry and Dynamics,
München (eingeladen);
22.07.2019
- 26.07.2019.
P. Szmolyan:
"Advances in GSPT - teaching new tricks to an old dog?";
Vortrag: SIAM Conference on Applications of dynamical systems 2019,
Snowbird (eingeladen);
19.05.2019
- 23.05.2019.
P. Szmolyan:
"Blow-up analysis of glycolytic relaxation oscillations";
Vortrag: 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Dresden (eingeladen);
25.05.2010
- 28.05.2010.
P. Szmolyan:
"Blow-up analysis of regularizations of nonsmooth systems";
Vortrag: Patterns of Dynamics,
Berlin (eingeladen);
25.06.2016
- 29.06.2016.
P. Szmolyan:
"Blow-up analysis of relaxation oscillators";
Vortrag: International workshop on relaxation oscillations and hysteresis,
Cork (eingeladen);
01.04.2002
- 06.04.2002.
P. Szmolyan:
"Bow-up analysis of delayed Hopf Bifurcations";
Vortrag: EQUADIFF 11,
Bratislava;
2005.
P. Szmolyan:
"Canard solutions of the Schrödinger Equation";
Vortrag: Equadiff,
Hasselt, Belgien;
22.07.2003
- 26.07.2003.
P. Szmolyan:
"Dissecting Multiscale Systems";
Vortrag: SYMBIONT scientific meeting,
Universität Bonn (eingeladen);
22.03.2018
- 23.03.2018.
P. Szmolyan:
"Dynamical systems in molecular biology";
Vortrag: ÖMG - DMV Jahrestagung 2017,
Salzburg (eingeladen);
11.09.2017
- 15.09.2017.
P. Szmolyan:
"Dynamische Systeme: Werkzeug oder Selbstzweck";
Vortrag: Seminarvortrag,
Universität Klagenfurt;
15.05.2009.
P. Szmolyan:
"Existenz und Stabilität von Stosswellen";
Vortrag: Seminar,
Montanuniversität Leoben;
28.05.2009.
P. Szmolyan:
"Faszination Mathematik: Denken, Rätseln, Entdecken";
Vortrag: Kilt-Tag 2018,
Schottengymnasium, Wien (eingeladen);
20.02.2018.
P. Szmolyan:
"Geometric analysis of delayed Hopf Bifurcations";
Vortrag: ÖMG Tagung 2003,
Bozen;
22.09.2003
- 26.09.2003.
P. Szmolyan:
"Geometric analysis of delayed Hopf Bifurcations";
Vortrag: SIAM Conference on Applications of Dynamical Systems,
Snowbird, USA;
2005.
P. Szmolyan:
"Geometric analysis of delayed Hopf bifurcations";
Vortrag: International Conference on Topological Methods, Differential Equations, and Dynamical Systems,
Florenz;
14.06.2007.
P. Szmolyan:
"Geometric singular perturbation analysis of turning point problems";
Vortrag: Vortrag an Universität Oldenburg,
Oldenburg (eingeladen);
16.12.2021.
P. Szmolyan:
"Geometric singular perturbation analysis of viscous shock waves";
Vortrag: International Workshop on hysteresis and multiscale asymptotics, University College Cork (2004).,
Cork (eingeladen);
17.03.2004
- 21.03.2004.
P. Szmolyan:
"Geometric singular perturbation theory beyond the standard form";
Vortrag: Colloquium on dynamical systems,
Comenius Universität, Bratislava (eingeladen);
09.12.2010.
P. Szmolyan:
"Geometric singular perturbation theory beyond the standard form";
Vortrag: Seminar Univ. Wien,
Wien (eingeladen);
28.02.2014.
P. Szmolyan:
"Geometric singular perturbation theory beyond the standard form";
Hauptvortrag: Dynamics Days Europe 2019,
Rostock (eingeladen);
02.09.2019
- 06.09.2019.
P. Szmolyan:
"Geometrische Desingularisierung von Differentialgleichungen";
Vortrag: Seminar,
TU-München;
18.12.2009.
P. Szmolyan:
"Hidden multiple time scales dynamics II";
Vortrag: SIAM Conference on Applications of Dynamical Systems,
Virtual, Online (eingeladen);
23.05.2021
- 27.05.2021.
P. Szmolyan:
"Hidden multiple time-scales dynamics I";
Vortrag: SIAM Conference on Applications of Dynamical Systems,
Virtual, Online (eingeladen);
23.05.2021
- 27.05.2021.
P. Szmolyan:
"Mathematics undercover: Berechnen, wie Zellen rechnen";
Vortrag: TUforMath 2019,
Wien (eingeladen);
24.01.2019.
P. Szmolyan:
"Multiple time-scale dynamical systems in cell biology";
Vortrag: Bioinspired Analysis of Dynamical Systems and Protein Network Analysis,
Esztergom (eingeladen);
10.01.2019
- 12.01.2019.
P. Szmolyan:
"Periodic solutions and and switching behavior in a model of bipolar disorder";
Vortrag: OMG Jahrestagung 2019,
Dornbirn (eingeladen);
16.09.2019
- 20.09.2019.
P. Szmolyan:
"Periodic solutions and and switching behavior in a model of bipolar disorder";
Vortrag: Equadiff 2019,
Leiden (eingeladen);
08.07.2019
- 12.07.2019.
P. Szmolyan:
"Progress and challenges in singular perturbations";
Vortrag: Equadiff 2017,
Bratislava (eingeladen);
24.07.2017
- 28.07.2017.
P. Szmolyan:
"Relaxation oscillations in substrate-depletion oscillators";
Vortrag: Workshop on singular perturbations,
RWTH Aachen (eingeladen);
30.04.2019.
P. Szmolyan:
"Rescalings and blow-up in biochemical systems";
Vortrag: Workshop on Reduction Methods for Chemical Reaction Networks,
RWTH Aachen (eingeladen);
02.05.2019
- 03.05.2019.
P. Szmolyan:
"Singular perturbations and slow-fast dynamics in chemical networks";
Vortrag: Advances in Chemical Reaction Network Theory,
Wien (eingeladen);
15.10.2018
- 19.10.2018.
P. Szmolyan:
"Slow-fast systems: progress and challenges";
Vortrag: The future of singular perturbations and the analysis of multiscale systems,
Leiden (eingeladen);
10.07.2017
- 14.07.2017.
P. Szmolyan:
"Spectral stability of shock waves";
Vortrag: Stability Criteria for Multi-Dimensional Waves and Patterns,
AIM, Palo Alto;
2005.
P. Szmolyan:
"Spectral stability of small amplitude shock waves";
Vortrag: HYKE Conference,
Wien (eingeladen);
24.02.2003
- 28.02.2003.
P. Szmolyan:
"Spectral stability of small amplitude shock waves";
Vortrag: Dynamics of Structured Systems,
Oberwolfach (eingeladen);
14.12.2003
- 20.12.2003.
P. Szmolyan:
"Spectral stability of small-amplitude viscous shock waves";
Vortrag: Joint SIAM/RSME-SCM-SEMA Meeting Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs'10,
Barcelona;
31.05.2010
- 04.06.2010.
P. Szmolyan:
"Spectral stability of viscous shock waves in several space dimensions";
Vortrag: Ordinary Differential Equations, their Applications and Related Topics,
Trento, Italien;
2006.
P. Szmolyan:
"Spetral stability of viscous shock waves";
Vortrag: Colloquium on dynamical systems,
Comenius Universität, Bratislava (eingeladen);
10.12.2010.
P. Szmolyan:
"Stability of viscous shock waves";
Vortrag: SIAM Conference on Applications of Dynamical Systems,
Snowbird, USA;
2005.
E. Weinmüller, K. Ponweiser, W. Linzer, P. Szmolyan:
"Numerical Simulation oof a Natural Circulation Steam Generator";
Vortrag: International Conference on Scientific Computation and Differential Equations,
Auckland (eingeladen);
01/1993.
Dissertationen (eigene und begutachtete)
F. Achleitner:
"Bifurcations and stability";
Betreuer/in(nen), Begutachter/in(nen): P. Szmolyan, H. Freistühler;
Analysis und Scientific Computing,
2009;
Rigorosum: 20.02.2009.
E. Bossolini:
"Geometric singular perturbation analysis of systems with friction";
Betreuer/in(nen), Begutachter/in(nen): K. Kristiansen, J. Hogan, P. Szmolyan;
Department of Applied Mathematics and Computer Science, DTU,
2017;
Rigorosum: 08.12.2017.
A. Desoeuvres:
"Méthodes de géométrie tropicale et d'arithmétique d'intervalles pour l'analyse des réseaux biochimiques : recherche d'homéostasie et réduction de modèles en présence de lois de conservation";
Betreuer/in(nen), Begutachter/in(nen): O. Radulescu, W. Seiler, P. Szmolyan;
Unité de recherche UMR 5235 - Laboratory of Pathogen Host Interactions, Univ. Montpelier,
2021.
A. Huber:
"Slow-fast dynamics in Lasers - Geometric analysis of the Yamada Model";
Betreuer/in(nen), Begutachter/in(nen): P. Szmolyan;
Institute for Analysis and Scientific Computing, E101,
2002.
A. Iuorio:
"Geometric analysis of multi-scale solutions in regularized models of microstructures and touchdown phenomena in MEMS";
Betreuer/in(nen), Begutachter/in(nen): G. Tragler, P. Szmolyan, N. Popovic;
Institut für Analysis und Scientific Computing,
2018;
Rigorosum: 24.01.2018.
Z. Miao:
"Applications of the blow - up technique in singularly perturbed chemical kinetics";
Betreuer/in(nen), Begutachter/in(nen): N. Popovic, T. Mackay, P. Szmolyan;
School of Mathematics, Univ. of Edinburgh,
2019;
Rigorosum: 04.04.2019.
N. Popovic:
"A geometric analysis of the Lagerstrom model: existence of solutions and rigorous asymptotic expansions";
Betreuer/in(nen), Begutachter/in(nen): P. Szmolyan, A. Kluwick;
Institut für Analysis und Scientific Computing,
2002.
N. Popovic:
"Geometric analysis of the Cole-Lagerstrom model";
Betreuer/in(nen), Begutachter/in(nen): P. Szmolyan;
Institute for Analysis and Scientific Computing,
2002.
N. Vassena:
"Sensitivity of metabolic networks";
Betreuer/in(nen), Begutachter/in(nen): B. Fiedler, P. Szmolyan;
Departement of Mathematics and Computer Science, FU Berlin,
2020;
Rigorosum: 12.02.2020.
Diplom- und Master-Arbeiten (eigene und betreute)
F. Achleitner:
"Spectral stability of small amplitude profiles in the Jin-Xin model";
Betreuer/in(nen): P. Szmolyan;
Institut for Analysis and Scientific Computing, E 101,
2004.
J. Mader:
"Slow-fast dynamics caused by exceptional points in non-hermitian quantum mechanics";
Betreuer/in(nen): P. Szmolyan;
E 101,
2021.
S. Portisch:
"A novel approach to dimension reduction in enzyme kinetics";
Betreuer/in(nen): P. Szmolyan;
E 101,
2017;
Abschlussprüfung: 25.10.2017.
M. Tulic:
"Estimation of Large Covariance Matrices using Results on Large Deriations";
Betreuer/in(nen): M. Deistler, P. Szmolyan;
Institut für Wirtschaftsmathematik,
2010;
Abschlussprüfung: 14.06.2010.
Wissenschaftliche Berichte
P. Szmolyan, I. Gucwa:
"Scaling in singular perturbation problems";
Bericht für Max-Planck-Institut für Mathematik in den Naturwissenschaften;
Berichts-Nr. Preprint 50,
2009.
