Publications and preprints - Jens D.M. Rademacher
Preprints
- Jichen Yang, J.D.M. Rademacher.
- Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates
Submitted, preprint [arxiv]
- L. Siemer, I. Ovsyannikov, J.D.M. Rademacher.
- Inhomogeneous domain walls in spintronic nanowires
Submitted, preprint [pdf]
- M. Kesseböhmer, J.D.M. Rademacher, D. Ulbrich
- Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata.
Submitted, preprint [arxiv]
Refereed articles
- 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 [pdf]
- 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 [pdf]
- C. Melcher, J.D.M. Rademacher.
- Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations.
J. Nonl. Sc. 27 (2017) 1551-1587 [pdf]
- 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 [pdf]
- 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 [pdf]
- 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 [pdf]
- 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.
- 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. Preprint [pdf]
- 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 [pdf].
- 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]
Editor
- 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]
Reviews and proceedings
-
L. Siemer, I. Schäfer, J. Rademacher, M. Keßeböhmer
-
Von explorierenden Aufgaben bis zur Mitarbeit im Forschungsteam --
Forschungsgelegenheiten im Bachelorstudiengang Mathematik
in: T. Hoffmeister, H. Koch & P. Tremp (Hrsg.) Forschendes Lernen als Studiengangsprofil:
Zum Lehrprofil einer Universität. Springer Verlag, to appear
-
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
[pdf]
- 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 [pdf]
- 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)
- B. Fiedler, V. Gelfreich, J. Rademacher
- Datenbasierte Strukturanalyse [Structural Analysis Based on Data]
(German)
Research report for Bayer AG, 40p. (2001)
Reports and notes
- J. Rademacher, H. Uecker
- Symmetries, freezing, and Hopf bifurcations of modulated traveling waves in pde2path
2017, online at pde2path
- J. Rademacher, H. Uecker
- The OOPDE setting of pde2path - a tutorial via some Allen-Cahn models
2018, online at pde2path
Theses
- J.D.M. Rademacher
- Homoclinic Bifurcation from
Heteroclinic Cycles with Periodic Orbits and Tracefiring of Pulses
PhD thesis, University of Minnesota (2004) [pdf]
- 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)
- non-mathematical
- 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; see also here.
- 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)
Impress