Homepage of Vivi Rottschäfer
Mathematisch Instituutvivi@math.leidenuniv.nl
Universiteit Leiden
P.O. Box 9512
2300 RA Leidenkamer 206
tel. 071-5277113
Courses
Course
2020 Bifurcations and Chaos
Course 2019 Introduction to Perturbation Methods
Course 2018 Bifurcations and Chaos
Course 2017 Introduction to Perturbation Methods
Course 2016 Introduction to Dynamical Systems
Dynamical systems seminar 2016 Derivation and Analysis of Mathematical Models
Course 2016 Bifurcations and Chaos
Course 2015 Introduction to Dynamical Systems
Dynamical systems seminar 2015
Patterns and waves
Course 2015 Introduction
to Perturbation Methods
Course 2014 Introduction to Dynamical Systems
Dynamical
systems
seminar 2014
Introduction to stochastic differential equations (with
applications)
Course 2014 Bifurcations and Chaos
Course 2013
Introduction to Dynamical Systems
Dynamical Systems Seminar 2013 Maps
Course
2012
Introduction to
Perturbation Methods
Seminarium 2012 Amplitude vergelijkingen
Course 2012
Bifurcations and Chaos
Seminarium 2011 Bifurcations with a
slowly varying parameter
Course
2011
Introduction
to Perturbation Methods
Course
2010
Introduction
to Pattern Formation
Dynamical Systems and Nonequilibrium Pattern Formation, spring 2003
Onderwijsweek
`Stabiliteitsanalyse in PDV's' bij het Thomas
Stieltjes Institute for Mathematics
gehouden van 3 - 7 maart 2003.
Esmée Vendel, Vivi Rottschäfer, Elizabeth C.M. de Lange (2020) A 3D brain unit model to further improve prediction of local drug distribution within the brain PLOS ONE 15 (9): e0238397. https://doi.org/10.1371/journal.pone.0238397 |
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Esmée Vendel, Vivi Rottschäfer, Elizabeth C.M. de Lange (2020) The 3D brain unit network model to study spatial brain drug exposure under healthy and pathological conditions, Pharmaceutical Research 37, 137. https://doi.org/10.1007/s11095-020-2760-y | |
Robbin Bastiaansen, Arjen
Doelman, Frank van Langevelde, Vivi Rottschäfer (2020) Modelling honey bee colonies in winter using a Keller-Segel model with a sign-changing chemotactic coefficient. SIAM Journal on Applied Mathematics 80: 839–863 |
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P. Amodio, C. Budd, O. Koch,
V. Rottschäfer,
G. Settanni, E. Weinmüller (2019) Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations, Physica D 401 132179 https://doi.org/10.1016/j.physd.2019.132179. |
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Pascal Schulthess, Vivi Rottschäfer, Piet van der
Graaf, James Yates (2019) Optimisation of cancer treatment in the frequency domain, The AAPS Journal 21: 106 https://doi.org/10.1208/s12248-019-0372-4. |
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Esmée Vendel, Vivi Rottschäfer, Elizabeth
C.M. de Lange (2019) The
need for mathematical modelling of spatial drug distribution within the brain, Fluids and Barriers of the CNS, 16:12 https://doi.org/10.1186/s12987-019-0133-x. |
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Corine Meerman,V. Rottschäfer, Henk
Schuttelaars (2019), Existence
of multiple morphodynamic equilibria in short tidal embayments: influence of geometrical variations, Ocean Dynamics, 69 (2), pp. 221 - 238. |
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Esmée Vendel, V. Rottschäfer, Elizabeth
C.M. de Lange (2018) Improving
the Prediction of Local Drug Distribution Profiles in the Brain with a New 2D Mathematical Model, Bulletin of Mathematical Biology in the Special Issue: Mathematics to Support Drug Discovery and Development, 81(9), 3477 - 3507, https://doi.org/10.1007/s11538-018-0469-4 |
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Wilhelmus E.A. de Witte, V. Rottschäfer, Meindert
Danhof, Piet H. van der Graaf, Lambertus A. Peletier,
Elizabeth C.M. de Lange (2018) Modelling
the delay between PK and EEG effects of morphine in
rats; binding kinetic versus effect compartment models, Journal of Pharmacokinetics and Pharmacodynamics, 45 (4), pp. 621 - 635. |
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V.
Rottschäfer (2018) Modelling
Drug Dynamics in the Brain, SIAM News, 51
(2). |
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R. Kuske, C. Y. Lee, V. Rottschäfer (2018) Patterns
and coherence resonance in the stochastic Swift-Hohenberg equation with Pyragas control: The Turing bifurcation case, Physica D, 365, pp. 57 - 71 |
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V. Rottschäfer, J. Tzou, M. J. Ward (2017), Transition
to Finite-Time Blow-up in a Reaction Diffusion Model
with Spike Solutions, Europ. J. Appl. Math. 28 (6), pp. 1015 - 1055 |
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L. Sewalt, A. Doelman, H. Meijer, V. Rottschäfer, A. Zagaris (2015), Tracking pattern
evolution through extended center manifold reduction and singular perturbations, Physica D, Vol. 298-299, pp. 48 - 67. |
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Q.-X.Liu, A.
Doelman, V. Rottschäfer, M. de Jager, P. M. J. Herman,
M. Rietkerk, J. van de Koppel (2013), Phase
separation explains a new class of self-organized spatial patterns in
ecological systems, Proc. Natl. Acad. Sci. (PNAS), 110 (29), pp. 11905-11910. |
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Vivi
Rottschäfer (2012) Asymptotic analysis of a
new type of multi-bump, self-similar, blowup solutions of the Ginzburg Landau equation, European Journal of Applied Mathematics, Vol. 24 Nr. 1, pp. 103 - 129. |
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Vivi
Rottschäfer (2008) Multi-bump, self-similar, blowup
solutions of the Ginzburg Landau equation, Physica D, Vol. 237, pp. 510 - 539. |
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Geertje Hek, Vivi Rottschäfer (2007), Semiconductor laser with filtered optical feedback: from optical injection to conventional feedback, IMA J. of Applied Mathematics, Vol. 72, pp. 420 - 450. | |
Vivi
Rottschäfer, Bernd Krauskopf (2007) The ECM-backbone of
the Lang-Kobayashi equations: a geometric picture, J. of Bifurcation and Chaos,
Vol. 17
Nr. 5, pp. 1 - 14. |
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C.J. Budd, V.
Rottschäfer, J.F. Williams (2005) Multi-bump, blow-up,
self-similar solutions of the complex Ginzburg-Landau
equation, SIAM J. on
Applied Dynamical Systems, Vol. 4, Nr. 3, pp. 649 - 678. |
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Lambertus A. Peletier, Vivi
Rottschäfer (2004) Pattern selection of solutions of the
Swift-Hohenberg equation,
Physica D, Vol. 194, pp. 95 - 126. |
Vivi Rottschäfer, Tasso Kaper
(2003) Geometric theory for
multi-bump, self-similar, blowup solutions of the cubic
nonlinear Schrödinger equation, Nonlinearity, Vol. 16, Nr. 3, pp. 929 - 961. |
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L. A. Peletier, Vivi
Rottschäfer (2002) Large time behaviour of solutions of
the Swift-Hohenberg equation, Comptes Rendu Mathematique, Vol.
336, Nr. 3, pp. 225
- 230. |
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Jeff Hasty, Milos Dolnik, Vivi Rottschäfer, James J. Collins (2002) Synthetic gene network for entraining and amplifying cellular oscillations, Physical Review Letters, 88, pp 148101. See also the Virtual Journal of Biological Physics Research. | |
Vivi Rottschäfer, Tasso Kaper (2002) Blowup in the nonlinear Schrödinger equation near critical dimension, JMAA, Vol. 268, Nr. 2, pp. 517 - 549. | |
V. Rottschäfer, C. E. Wayne (2001) Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation, Journal of Differential Equations, Vol. 176, Nr. 2, pp. 532 - 560. | |
V. Rottschäfer (2001) Multi-bump patterns by a normal form approach , Discrete and continuous dynamical systems Series B, Vol. 1, Nr. 3, pp. 363 - 386. | |
V. Rottschäfer, A. Doelman (1998) On the transition of the Ginzburg-Landau equation to the extended Fisher-Kolmogorov equation, Physica D, Vol. 118, pp. 261 - 292. | |
A. Doelman, V. Rottschäfer (1997) Singularly perturbed and non-local modulation equations for systems with interacting instability mechanisms, J. Nonl. Sc., Vol. 7, pp. 371 - 409. |
V. Rottschäfer (1998)
Co-dimension 2 phenomena in pattern formation,
Ph. D. -thesis, University Utrecht. |
Adérito Araújo, Miguel D.
Bustamante, Manuel Cruz, Rada Novakovic, Vivi Rottschäfer (2018) Handbook for running a sustainable European Study Group with Industry by Mathematics for Industry Network (MI-NET); COST Action TD1409. |
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D.R. Pik, V. Rottschäfer (eds.) (2004) Proceedings of the fourty-fifth European Study Group with Industry, ISBN 90-9017846-5 | |
Markus Heydenreich, Sander Hille, Vivi Rottschäfer,
Flora Spieksma, Evgeny Verbitskiy (eds.) (2014) Proceedings of the ninetieth European Study Group with Industry. |
David Kok, Vivi Rottschäfer,
David van Keulen, George A.K. van Voorn, Manu Kalia, Bas van't Hof, L. Gerard van Willigenburg (2019) Boosting Ship Simulations at Marin, Proceedings of the 148th European Study Group with Industry pp. 67-- 82. |
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Xingang Cao, Sangye Lungten,
Vivi Rottschäfer Mara Smeele,
Valentin Sulzer, Raymond van Venetïe, Kirsten Wang (2018) Stability Analysis of a Buck Converter in Feedback Control, Proceedings of the 135th European Study Group with Industry pp. 27 -- 42. |
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Thijs Bouwhuis, Daan
Crommelin, Olfa Jabi, Vivi Rottschäfer, Ray Sheombarsing, Bas van 't Hof (2017) Modelling of fluid mixing and dynamics in curved pipelines, Proceedings of the 126th European Study Group with Industry pp. 97 -- 121. |
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Graham Benham, Peter
Frolkovic, Tihomir Ivanov, Raka Mondal, Sourav Mondal,
Vivi Rottschäfer, Katerina Kaouri (2017) Mathematical modelling of the Germasogeia aquifer, Proceedings of the 125th European Study Group with Industry pp. 1 -- 33. |
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Nick Gaiko, Thomas de Jong,
Vivi Rottschäfer (2016) Modelling
a long production line as a train with coupled carriages, Proceedings of the 114th European Study Group with Industry pp.45 -- 60. |
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Xiulei Cao, Alje van Dam, Bart de Leeuw,
Carina Geldhauser, Johan Grasman, Ivan Kryven, Domenico Lahaye, Leonardo Morelli, Vivi Rottschäfer, Han Zhou (2015) Always Nice Weather in Europe, Proceedings of the hundred-sixth European Study Group with Industry pp. 7 -- 20. |
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Arnold Heemink, Corine Meerman, Sanjay Ramawadh,
Vivi Rottschäfer, Willem van Zuijlen (2014) Monitoring the Sewer System, Proceedings of the ninety-eighth European Study Group with Industry, pp. 55 - 61. |
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Neil Budko, Alessandro
Corbetta, Bert van Duijn, Sander Hille, Oleh Krehel, Vivi
Rottschäfer, Linda Wiegman, Delyan Zhelyazov (2013) A Simple model for O2 transport and consumption in germinating seeds, Proceedings of the ninetieth European Study Group with Industry, pp. 5 -- 30. |
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Paulo J. De Andrade
Serra, Tasnim Fatima, Andrea Fernandez, Tim Hulshof, Tagi
Khaniyev, Patrick J.P. van Meurs, JanJaap Oosterwijk, Stefanie Postma, Vivi Rottschäfer, Lotte Sewalt, Frits Veerman (2012) Up and Beyond - Building a mountain in the Netherlands, Proceedings of the eighty-fourth European Study Group with Industry, pp. 104 - 125. |
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Vivi Rottschäfer (2010)
De uitdagende vraagstukken van bedrijven,
Vakantiecursus 2010 Wiskunde: de uitdaging, CWI syllabus 60, pp. 55 - 64. |
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Simon van Mourik, Joris
Bierkens, Hans Stigter, Martijn Dirkse, Karel Keesman,
Vivi Rottschäfer (2009) DHV water pumping optimization, Proceedings of the sixty-seventh European Study Group with Industry, pp. 99 --116 |
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Niels Besseling, Onno
Bokhove, Alla Kolechkina, Jaap Molenaar, Ronald van
Nooyen, Vivi Rottschäfer, Alfred Stein, Anton Stoorvogel (2008) Math Fights Flooding, Proceedings of the sixty-third European Study Group with Industry, pp. 47 -- 63. |
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Vincent Creigen,
Luca Ferracina, Andriy Hlod, Simon van Mourik,
Krischan Sjauw, Vivi Rottschäfer, Michel Vellekoop, Paul Zegeling (2007) Modeling a Heart Pump, Proceedings of the fifty-eighth European Study Group with Industry, pp. 7 -- 25. |
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V. Rottschäfer
(2006) Patronen blijven fascineren, Over de grenzen van het
weten,, jaarboek 2004, Vereniging van Akademie-onderzoekers, pp. 93 -- 96. |
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JF Williams,
Geertje Hek, Alistair Vardy, Vivi Rottschäfer, Jan Bouwe
van den Berg, Joost Hulshof (2005) Mathematical Techniques
for Neuromuscular Analysis, Proceedings of the fifty-second European Study Group with Industry, pp. 109 -- 127. |
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Geertje Hek,
Vivi Rottschäfer (2005) Semiconductor
laser with filtered optical feedback: bridge between
conventional feedback and optical injection, Proceedings ENOC-2005, Eindhoven,
Netherlands, 2015-2024. |
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Vivi Rottschäfer, Bernd Krauskopf (2005) A three-parameter study of external cavity modes in semiconductor lasers with optical feedback, Proceedings of the Fifth IFAC Workshop on Time-Delay Systems, eds. W. Michiels, D. Roose, Elsevier, 239-244. | |
Chris Budd, Robbert Fokkink, Geertje Hek, Peter van der Kamp, Derk Pik, Vivi Rottschäfer (2004) Hanging a carillon in a broek-system, Proceedings 45th Eur. Study Group Ind. | |
Vivi Rottschäfer (2003) Wiskunde voor de rozenkweker, Vakantiecursus 2003 Wiskunde in het dagelijks leven, CWI syllabus 52, 15-26. | |
O. Bokhove, J.L.A. Dubbeldam, P. Getto, B.
van 't Hof , N.C. Ovenden, D.R. Pik, G. Prokert, V.
Rottschäfer, D. van der Sar (2002) Roses are unselfish: a greenhouse
growth model to predict harvest rates, Proceedings
42nd Eur. Study Group Ind. (G.M. Hek ed.) CWI syllabus 51 |
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V. Rottschäfer (2000) Co-dimension 2 phenomena in pattern formation, International Conference on Differential Equations, Vol. 1, eds. B. Fiedler, K. Gröger, J. Spiekels, World Scientific, 1305-1307. | |
A. Doelman,
V. Rottschäfer (1998) Multi-bump patterns near a co-dimension 2 point, Tohoku Mathematical Publications, Nr 8, 43-54. |
V. Rottschäfer (2014) Singulariteiten, Nieuw Archief van de Wiskunde 5/15 nr.4, 283 - 284. | |
A. Doelman, V. Rottschäfer, L. Sewalt, H. E. de Swart, A. Zagaris, J. Zijlstra (2013) De complexe dynamica van fytoplankton, Nieuw Archief van de Wiskunde 5/14 nr.3, 190 - 194. | |
Vivi Rottschäfer (2003) Wiskunde voor de
rozenkweker, Nieuwe
wiskrant, 23e
jaargang, nr. 3, pp. 37 - 41. |
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Vivi Rottschäfer (2003) The 45th European Study Group Mathematics with Industry in Leiden, ECMI newsletter 34, pp. 18 - 19. | |
Carina Edwards, Nick Ovenden , Vivi size="+1">Rottschäfer (2003) Some cracking ideas on egg incubation, Proceedings 46th Eur. Study Group Ind., also see the ECMI newsletter 34 p. 21-24 for a shortened version. | |
Nick Ovenden, Vivi Rottschäfer (2002) A greenhouse growth model for unselfish roses, Nieuw Archief voor Wiskunde, 5/3. |
Esmée Vendel, Vivi Rottschäfer, Elizabeth
C.M. de Lange (2019) A 3D brain unit model to further improve prediction of local drug distribution within the brain, submitted, see www.biorxiv.org/content/10.1101/688648v1 |