Dr. Jens Rademacher
Photo: Esfandiari
Professor of Applied Dynamical Systems
Address
Office
Contact
I have moved to UHH in October 2022.
For more information also see the research area applied dynamical systems.
Personal information
Dynamics of Ordinary and Partial Differential Equations
Pattern Formation, nonlinear waves, stability
Heteroclinic and homoclinic bifurcations
Applications
Employment
| 10/22 - | Professor, Department of Mathematics, University of Hamburg |
| - 2022 | Professor, Department of Mathematics, University of Bremen |
| - 2013 | Researcher, Centrum Wiskunde & Informatica, Amsterdam, NL (tenured in '09) |
| 2005/06 | Postdoc, Weierstrass Institute Berlin |
| 2004/05 | PIMS Postdoc, Pacific Institute of Mathematical Sciences, University of British Columbia and Simon Fraser University, Canada |
| '98 - '04 | Teaching and research assistant, Free University Berlin and University of Minnesota |
Education
| 2004 | PhD, School of Mathematics, University of Minnesota (advisor A. Scheel) |
| 2000 | Diploma in Mathematics, Free University Berlin (advisor B. Fiedler) |
| '95 - '00 | Studies in Mathematics, Philosophy and Computer Science, Universities of Bremen, Göttingen, California at Santa Cruz and Berlin |
Projects and grants
DFG Research Training Group GRK2583 "Modeling, Simulation and Optimization of Fluid Dynamic Applications", new project M4
DFG Collaborative Research Center SFB TRR 181 “Energy transfers in ocean and atmosphere, project areas in third phase M2, T5, S1 https://www.trr-energytransfers.de/.
DFG Collaborative Research Center SFB TRR 181 “Energy transfers in ocean and atmosphere, project areas first phase M2, second phase M1, M2, M7 https://www.trr-energytransfers.de/.
DFG Research Training Group π3 “Parameter identification”, project areas first phase R2, second phase R1 https://www.uni-bremen.de/rtg-pi3
DFG grant RA 27288/1-1 "Ergodic theory of nonlinear waves in discrete and continuous excitable media” (2016-2020)
“Research orientation in Bsc mathematics (ForMath)", within program “ForstAintegriert” at University of Bremen (2017-2019)
“Stability boundaries of wavetrains” within “Nonlinear dynamics of natural systems (NDNS)" program of the Durch research fund (NWO) (2012-2014)
"Critical transitions and early-warning signals in spatial ecosystems", within complexity program of Durch research fund (NWO) (2011-2015)
Publications
Ian Melbourne, Jens D.M. Rademacher, Bob Rink, Sergey Zelik.
Quasicrystals in pattern formation, Part I: Local existence and basic properties [arXiv]
M. Chirilus-Bruckner, P. van Heijster, J.D.M. Rademacher.
Chaotic motion and singularity structures of front solutions in multi-component FitzHugh-Nagumo-type systems [arXiv]
Gualtiero Badin and Jörn Behrens and Christian Franzke and Marcel Oliver and Jens Rademacher (guest editors)
Mathematical Developments in Geophysical Fluid Dynamics: Structure, Vortices, and Waves
Geophysical & Astrophysical Fluid Dynamics, Vol. 113 Issue 5-6, 2019 [ introduction | issue]
K. Falk, M. Kesseböhmer, T.-H. Oertel-Jäger, J.D.M. Rademacher and T. Samuel (guest editors)
Diffusion on fractals and non-linear dynamics
Disrc. Cont. Dyn. Sys. Series S Vol. 10 Issue 2, 2017 [link]
A. Muntean, J.D.M. Rademacher, A. Zagaris.
Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity.
Lecture Notes in Applied Mathematics and Mechanics 3, Springer 2016 [link]
F. Achleitner, G. Akagi, C. Kuehn, J.M. Melenk, J.D.M. Rademacher, C. Soresina, J. Yang.
Fractional Dissipative PDEs. Accepted chapter for Springer book``Fractional Dispersive Models and Applications,
Recent Developments and Future Perspectives'' (2023) [doi]
L. Siemer, I. Schäfer, J. Rademacher, M. Keßeböhmer
Von explorierenden Aufgaben bis zur Mitarbeit im Forschungsteam --
Forschungsgelegenheiten im Bachelorstudiengang Mathematik
in: Hoffmeister T., Koch H., Tremp P. (eds) Forschendes Lernen als Studiengangsprofil. Springer VS, Wiesbaden. [doi]
T. Dohnal, J. Rademacher, H. Uecker, D. Wetzel
pde2path 2.0: multi-parameter continuation and periodic domains
in: H. Ecker, A. Steindl, S. Jakubek (eds.) ENOC 2014 - Proceedings of 8th European Nonlinear Dynamics Conference [pde2path]
A. Doelman, M. Eppinga, G. Hek, J.D.M. Rademacher, M. Rietkerk, E. Siero, K. Siteur.
Klimaatsverandering, verwoestijning en biljart.
Nieuw Archief Wiskunde 5 (2013) 200 [issue]
J.D.M. Rademacher (joint work with M. Chirilus-Bruckner, A. Doelman, P. van Heijster)
Singularities and intrinsic front dynamics of FitzHugh-Nagumo type systems.
Oberwolfach Reports, EMS publishing, Vol. 9(4) (2012) 3614 [pdf]
M. Apri et al.
Analysis of a Model for Ship Manoeuvering
Proc. 79th European Study Group "Mathematics with Industry," Vrije Universiteit Amsterdam, Jan. 2011, pp. 83--116. [link]
A. Thornton et al.
Modeling and optimization of algae growth
Proc. 72nd European Study Group "Mathematics with Industry," Centrum Wiskunde & Informatica Jan. 2010, Report 4, 54--85. [link]
J.A. Sherratt, M.J. Smith, J.D.M. Rademacher.
Spatiotemporal Dynamics in Ecology: Insights from Physics
Proc. 16th Int. Congress Math. Phys. 2009, 651 [pdf]
J. Rademacher (joint work with M. Herrmann)
Fronts in Fermi-Pasta-Ulam chains
Oberwolfach Reports, EMS publishing, Vol. 5(4) (2008) 3236
M. Herrmann, J. Rademacher
Riemann problems in FPU chains
Proc. Appl. Math. Mech. 7, 1042801 (2008)
Special Issue ICIAM 07 and GAMM Annual Meeting [pdf]
W. Dreyer, M. Herrmann and J.D.M. Rademacher
Wave trains, solitons and modulation theory in FPU lattices
in: A. Mielke (Editor), Analysis, Modeling, and Simulation of Multiscale Problems. Springer Berlin Heidelberg, 2006.
B. Fiedler, M.A. Efendiev, L. Lerman, J. Rademacher, and A. Schuppert
Stability analysis for reactors from chemical industry
Mathematics -- key technology for the future, 175--183, Springer, Berlin (2003)
Paul Holst, Jens D. M. Rademacher, Jichen Yang.
Rotating convection with horizontal kinetic energy backscatter.
Refereed chapter in "Nonlinear Dispersive Waves" 2024, Birkhäuser [Book | arXiv]
Ivan Ovsyannikov, Jens D. M. Rademacher, Roland Welter, Bingying Lu.
Time averages and periodic attractors at high Rayleigh number for Lorenz-like models.
J Nonlinear Sci 33, 73-112 (2023) [DOI | arXiv]
Artur Prugger, Jens D. M. Rademacher, Jichen Yang.
Rotating shallow water equations with bottom drag: bifurcations and growth due to kinetic energy backscatter.
SIAM J Appl. Dyn. Sys. 22 (3), 2490-2526 (2023). [DOI | arXiv]
Miriam Steinherr Zazo, Jens D. M. Rademacher
Bifurcation control for a ship maneuvering model with nonsmooth nonlinearities
SIAM Journal of Control and Optimization, 64(1), 225-251 (2023). [DOI | arXiv]
Artur Prugger, Jens D. M. Rademacher, Jichen Yang
Geophysical fluid models with simple energy backscatter: explicit flows and unbounded exponential growth
Geophysical & Astrophysical Fluid Dynamics, 116(5-6), 374-410 (2022). [DOI | arXiv]
Antoine Pauthier, Jens D.M. Rademacher, Dennis Ulbrich
Weak and strong interaction of excitation kinks in scalar parabolic equations
J Dyn Diff Equat (2021), online first. [DOI | arXiv]
Jens D. M. Rademacher, Lars Siemer
Domain wall motion in axially symmetric spintronic nanowires
SIAM J. Appl. Dyn. Syst., 20(4), 2204–2235 (2021). [DOI | arXiv]
Artur Prugger, Jens D. M. Rademacher
Explicit superposed and forced plane wave generalized Beltrami flows
IMA J Appl Math. Volume 86, Issue 4, August 2021, 761–784. [DOI | arXiv]
Paul Carter, Jens D.M. Rademacher, Björn Sandstede
Pulse replication and accumulation of eigenvalues
SIAM J. Math Anal., 53(3), 3520–3576 (2021). [DOI | arXiv]
J. Yang, J.D.M. Rademacher.
Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates.
IMA J Appl Math., Volume 86, Issue 2, April 2021, 27-73. [DOI | arXiv]
M. Steinherr Zazo, J.D.M. Rademacher
Lyapunov coefficients for Hopf bifurcations in systems with piecewise smooth nonlinearity
SIAM J. Appl. Dyn. Sys., 19(4), 2847-2886 (2020). [DOI | arXiv]
L. Siemer, I. Ovsyannikov, J.D.M. Rademacher.
Inhomogeneous domain walls in spintronic nanowires.
Nonlinearity 33 (2020), 2905-2941. [DOI | arXiv]
M. Kesseböhmer, J.D.M. Rademacher, D. Ulbrich
Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata.
Ergodic Theory and Dynamical Systems, 41 (2020), no. 5, 1397–1430. [DOI | pdf]
M. Chirilus-Bruckner, P. van Heijster, H. Ikeda, J.D.M. Rademacher.
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system.
J. Non. Sc., 29 (2019), 2911-2953. [Springer | pdf]
C. Franzke, M. Oliver, J.D.M. Rademacher, G. Badin
Multi-Scale Methods for Geophysical Flows.
Chapter in "Energy transfers in atmosphere and ocean", Springer Mathematics of Planet Earth book series Vol. 1 (2019), 1-51. [link]
A. Doelman, J.D.M. Rademacher, B. de Rijk, F. Veerman.
Destabilization mechanisms of periodic pulse patterns near a homoclinic limit.
SIAM J. Appl. Dyn. Sys. 17 (2018), 1833-1890. [link]
C. Melcher, J.D.M. Rademacher.
Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations.
J. Nonl. Sc. 27 (2017), 1551-1587. [arXiv]
B. de Rijk, A. Doelman, J.D.M. Rademacher.
Spectra and stability of spatially periodic pulse patterns: Evans function factorization via Riccati transformation.
SIAM J. Math. Ana. 48(2016), 61-121. [arXiv]
D. Zhelyasov, D. Han-Kwan, J.D.M. Rademacher.
Global stability and local bifurcations in a two-fluid model for tokamak plasma.
SIAM J. Appl. Dyn. Syst. 14(2015), 730-763. [arXiv]
E. Siero, A. Doelman, M.B. Eppinga, J.D.M. Rademacher, M. Rietkerk and K. Siteur.
Stripe pattern selection by advective reaction-diffusion systems: resilience of banded vegetation on slopes.
CHAOS 25(2015) 036411 [link]
M. Chirilus-Bruckner, A. Doelman, P. van Heijster, J.D.M. Rademacher.
Butterfly catastrophe for fronts in a three-component reaction-diffusion-system.
J. Nonl. Sc. 25(2015), 87-129. [link]
K. Siteur, E. Siero, M. Eppinga, J.D.M. Rademacher, A. Doelman, M. Rietkerk.
Beyond Turing: the response of patterned ecosystems to environmental change.
Ecological Complexity 20 (2014), 81-96. [doi]
M. Meyries, J.D.M. Rademacher, E. Siero.
Quasilinear parabolic reaction-diffusion systems: user's guide to well-posedness, spectra and stability of travelling waves.
SIAM J. Appl. Dyn. Sys. 13(2014), 249-275. [arXiv]
H. Uecker, D. Wetzel, J.D.M. Rademacher.
pde2path - A Matlab package for continuation and bifurcation in 2D elliptic systems
Num. Math.: Th. Meth. Appl.7 (2014), 58-106. Preprint [arXiv, code]
J.D.M. Rademacher.
First and second order semi-strong interaction in reaction-diffusion systems
SIAM J. Appl. Dyn. Syst., 12(2013), 175-203. Preprint [pdf]
S. van der Stelt, A. Doelman, G. Hek, J.D.M. Rademacher.
Rise and fall of periodic patterns for a Generalized Klausmeier-Gray-Scott model
J. Nonl. Sc. 23 (2013), 39-95. Preprint [pdf]
A. Doelman, J.D.M. Rademacher, S van der Stelt.
Hopf dances near the tips of Busse balloons
Discr. Cont. Dyn. Sys. 5 (2012), 61-92. Preprint [pdf]
J.A. Sherratt, M.J. Smith, J.D.M. Rademacher.
Patterns of Sources and Sinks in the Complex Ginzburg-Landau Equation with Zero Linear Dispersion.
SIAM J. Appl. Dyn. Syst. 9 (2010), 883-918. Preprint [pdf]
J.D.M. Rademacher
Lyapunov-Schmidt Reduction for Unfolding Heteroclinic Networks of Equilibria and Periodic Orbits with Tangencies
J. Diff. Eq. 249(2010), 305-348. Preprint [pdf]
M. Herrmann, J.D.M. Rademacher
Heteroclinic travelling waves in convex FPU-type chains
SIAM J. Math. Ana. 42(2010), 1483-1504. Preprint [pdf]
M. Herrmann, J.D.M. Rademacher
Riemann solvers and undercompressive shocks of convex FPU chains
Nonlinearity 23(2010), 277-304. [pdf]
A.R. Champneys, E. Knobloch, V. Kirk, B.E. Oldeman, J.D.M. Rademacher
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle
SIAM J. App. Dyn. Sys. 8 (2009), 1261-1304. [pdf]
M.J. Smith, J.D.M. Rademacher, J.A. Sherratt.
Absolute stability of wavetrains can explain spatiotemporal dynamics in reaction-diffusion systems of lambda-omega type.
SIAM J. App. Dyn. Sys. 8 (2009), 1136-1159. [pdf]
J.A. Sherratt, M.J. Smith, J.D.M. Rademacher
Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion
Proc. Nat. Acad. Sc. 106:10890-10895 (2009). [pdf]
A.A. Shah, J. Brindley, A.C. McIntosh, J.D.M. Rademacher
The effects of heat exchange and fluid production on the ignition of a porous solid
Nonlinear Anal.: Real World Appl. 9 (2008), 562-584.
J.D.M. Rademacher, B. Sandstede, A. Scheel
Computing absolute and essential spectra using continuation
Physica D 229(2007), 166-183. [link].
J.D.M. Rademacher, A. Scheel
Instabilities of Wave Trains and Turing Patterns in Large Domains
Int. J. Bif. Chaos 17(2007), 2679-2691. (special issue for Andre Vanderbauwhede's 60th birthday) [pdf]
J.D.M. Rademacher, A. Scheel
The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems
J. Dyn. Diff. Eqns. 19(2007), 479-496. [pdf]
J.D.M. Rademacher
Geometric relations of absolute and essential spectra of wave trains
SIAM J. Appl. Dyn. Sys. 5 (2006), 634-649. [pdf]
J.D.M. Rademacher, R.W. Wittenberg
Viscous shocks in the destabilized Kuramoto-Sivashinsky equation
J. Comp. Nonl. Dyn. 1 (2006), 336-347. (special issue for Phil Holmes' 60th birthday) [pdf]
J.D.M. Rademacher
Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit
J. Diff. Eqns. 218(2005), 390-443. [corrected pdf]
J. Rademacher, H. Uecker
The OOPDE setting of pde2path - a tutorial via some Allen-Cahn models
2018, online at pde2path
J. Rademacher, H. Uecker
Symmetries, freezing, and Hopf bifurcations of modulated traveling waves in pde2path
2017, online at pde2path
B. Fiedler, V. Gelfreich, J. Rademacher
Datenbasierte Strukturanalyse [Structural Analysis Based on Data] (German)
Research report for Bayer AG, 40p. (2001)
J.D.M. Rademacher
Homoclinic Bifurcation from Heteroclinic Cycles with Periodic Orbits and Tracefiring of Pulses
PhD thesis, University of Minnesota (2004)
J. Rademacher
Dynamik von Wellen in schwach gekoppelten Oszillatorengittern [Dynamics of Waves in Weakly Coupled Oscillator Arrays] (German)
Diploma Thesis, Free University of Berlin (2000)
J.D.M. Rademacher, S. Lippke
Dynamic online surveys and experiments with the free open source software dynQuest
Behavior Research Methods [pdf], 39 (2007) 415--426.
S. Lippke, J. Rademacher, C. Küchler
Dynamische computergestützte Diagnostik: Entwicklungen und Anwendbarkeit [Dynamic Computer Aided Diagnostics: Developments and Application]
In: B. Strauss et al., (Hrsg.). Expertise im Sport, 217--218. Köln: bps-Verlag (2002)