Publications and preprints - Jens D.M. Rademacher

Preprints
B. de Rijk, A. Doelman, F. Veerman, J.D.M. Rademacher.
Destabilization mechanisms of periodic pulse patterns near a homoclinic limit. [pdf]

M. Oliver, G. Badin, C. Franzke, J.D.M. Rademacher
Multi-Scale Methods for Geophysical Flows.
Book chapter [pdf]

Refereed Journals

C. Melcher, J.D.M. Rademacher.
Pattern formation in axially symmetric Landau-Lifshitz-Gilbert-Slonczewski equations.
Accepted at J. Nonl. Sc. [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
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
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)

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