Publications of Dr. Claudia Wulff

Preprints :

D. Chillingworth, G. Forest, R. Lauterbach, C. Wulff
Existence and Stability of Kayaking Orbits for Nematic Liquid Crystals in Simple Shear Flow

C. Wulff
Exponential Runge-Kutta time semidiscretizations of semilinear PDEs with with low regularity initial data

Journal articles:

K. Uldall Kristiansen, C. Wulff.
Exponential estimates of symplectic slow manifolds
J. Differential Equations 261 (2016), no. 1, 56-101.

C. Wulff, C. Evans.
Runge-Kutta time semidiscretizations of semilinear PDEs with non-smooth data
Numerische Mathematik, 134(2), 2016, 413-440.

C. Wulff, M. Oliver.
Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations
Proc. Royal Soc. Edinb. A., Volume 146, Issue 6 December 2016, pp. 1265-1301, DOI

D. Correa, C. Wulff, J Piqueira.
Symmetric bifurcation analysis of synchronous states of time-delayed coupled oscillators
Communications in Nonlinear Science and Numerical Simulation, Volume 22, Issues 13, May 2015, Pages 793-820

M. Oliver, C. Wulff.
Stability under Galerkin truncation of A-stable Runge--Kutta semidiscretizations in time
Proc. Royal Soc. Edinb. A. 144 (3), 603-636, 2014.

C. Wulff, F. Schilder.
Relative Lyapunov Centre Bifurcations
SIAM J. Applied Dynamical Systems 13(2), 2014, pp. 722--757.

M. Oliver, C. Wulff.
A-stable Runge--Kutta methods for semilinear evolution equations
J. Functional Anal. 263 (2012), 1981-2023.

C. Wulff and Frank Schilder.
Numerical bifurcation of Hamiltonian relative periodic orbits.
SIAM J. Appl. Dyn. Syst., 8(3), pp. 931-966 (2009)

C. Wulff, A. Schebesch.
Numerical continuation of Hamiltonian relative periodic orbits.
J. Nonl. Science 18(4), 343-390, 2008.

G. Patrick, R.M. Roberts, C. Wulff.
Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems.
Nonlinearity, 21, 325-352, 2008.

C. Wulff.
A Hamiltonian analogue of the meandering transition.
SIAM J. Appl. Dyn. Systems, 7(4), pp. 1213-1246 (2008).

C. Wulff, A. Schebesch.
Numerical continuation of symmetric periodic orbits.
SIAM J. Appl. Dyn. Syst. 5(3), 435475, 2006.

C. Wulff.
Relative periodic points of symplectic maps: persistence and bifurcations.
Journal of Difference Equations and Applications 12(11), 1179-1191, 2006.

J. Lamb, I. Melbourne, C. Wulff.
Hopf bifurcation from relative periodic solutions: Secondary bifurcations from meandering spirals.
Journal of Difference Equations and Applications 12(11), 1127-1145, 2006.

Marcel Oliver, Matt West, Claudia Wulff
Approximate momentum conservation for spatial semidiscretizations of nonlinear wave equations
Numerische Mathematik 97(3), 493-535, 2004.

George Patrick, Mark Roberts and Claudia Wulff
Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods
Arch. Rat. Mech. Anal. 174(3), 301-344, 2004.

Claudia Wulff
Persistence of relative equilibria in Hamiltonian systems with Noncompact Symmetry
Nonlinearity 16(1), 67--91, 2003.

Jeroen Lamb, Ian Melbourne, Claudia Wulff
General bifurcations from periodic solutions with spatiotemporal symmetry, including mode interactions and resonances
J. Differential Equations 191(2), 377-407, 2003.

Claudia Wulff
Persistence of Hamiltonian relative periodic orbits
Journal of Geometry and Physics 48, 309-338, 2003.

Mark Roberts, Claudia Wulff and Jeroen Lamb
Hamiltonian systems near relative equilibria
J. Differential Equations 179, 562--604, 2002.

Claudia Wulff and Mark Roberts
Hamiltonian systems near relative periodic orbits
SIAM J. Dyn. Syst. 1(1),1-43, 2002.

Jeroen Lamb, Claudia Wulff
Reversible relative periodic orbits
J. Differential Equations, 178, 60 -- 100, 2002.

Claudia Wulff
Spiral Waves and Euclidean Symmetries.
Zeitschrift für Physikalische Chemie 216, 535-550, 2002.

Claudia Wulff, Jeroen Lamb, Ian Melbourne
Bifurcation from relative periodic solutions
Ergodic Theory Dynam. Systems, 21, 605--635 , 2001.

Ulrike Scheerer and Claudia Wulff
Reduced Dynamics for Momentum Maps with Cocycle
C.R.Acad.Sci, serie I, Math., 333, (2001), 999-1004.

Claudia Wulff:
Transitions from relative equilibria to relative periodic orbits
Documenta Mathematica 5, 227-274, 2000.

Jeroen Lamb, Claudia Wulff
Pinning and locking of discrete waves
Phys. Lett. A 267 (2000), 167-173.

Victor LeBlanc, Claudia Wulff
Translational symmetry-breaking for spiral waves
J. Nonlinear Sci. 10, 569 -- 601, 2000.

Björn Sandstede, Arnd Scheel, Claudia Wulff
Bifurcations and Dynamics of Spiral Waves
J. Nonlinear Sci. 9, no. 4, 439-478, 1999.

Björn Sandstede, Arnd Scheel, Claudia Wulff
Center-Manifold Reduction for Spiral Waves
C.R.Acad.Sci, Serie I, Math. 324, (1997), 153-158

Björn Sandstede, Arnd Scheel, Claudia Wulff
Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reduction
J. Differential Equations 141 (1997), 122 - 149.

B. Fiedler, B. Sandstede, A. Scheel, C. Wulff
Bifurcation from relative equilibria of noncompact group actions: skew products, meanders, and drifts
Documenta Mathematica 1 (1996), 479-505


Claudia Wulff, George Patrick and Mark Roberts.
Stability of Hamiltonian relative equilibria by energy methods
In D. Bambusi, M. Cadoni and G. Gaeta editors, "Symmetry and Perturbation Theory (Proceedings of the international conference SPT2001)", ISBN 981-02-4793-1, World Scientific, Singapore, 214-221, 2001.

Björn Sandstede, Arnd Scheel, Claudia Wulff
Dynamical behaviour of patterns with symmetry
In "Pattern formation in continuous and coupled systems", M. Golubitsky, D. Luss, and S. Strogatz (eds.), Springer. IMA Volumes in Mathematics and its Applications 115, 249-264, 1999.

Jeroen Lamb, Ian Melbourne and Claudia Wulff
Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems, (Refereed) Proceedings Equadiff 1999, Singapore, 175-185, 2000.

C. Wulff:
Bifurcation Theory for meandering spiral waves
in "Nonlinear Physics of Complex Systems - Current Status and Future Trends", J. Parisi et al ed., Lecture Notes in Physics Vol. 476, Springer Berlin, 166-178, 1996.

C. Wulff:
Mathematical Theory of Rigidly Rotating Spiral Waves Subjected to External Periodic Forcing.
In "Self-Organization in Activator-Inhibitor-Systems: Semiconductors, Gas-Discharge and Chemical Active Media", Proceedings of the 157. WE-Heraeus-Seminar, Wissenschaft & Technik Verlag, 114-119, 1996.

Reports, theses:

C. Wulff:
Theory of Meandering and Drifting Spiral Waves in Reaction-Diffusion Systems
Freie Universität Berlin 1996

C. Wulff, A. Hohmann, P. Deuflhard:
Numerical Continuation of Periodic Orbits with Symmetry
Konrad-Zuse-Zentrum Berlin, 1994

A. C. Wulff:
Numerische Pfadverfolgung von periodischen Lösungen mit Symmetrie
Diplomarbeit, Freie Universität Berlin, 1993

A. Hohmann, C. Wulff:
Modular Design of Extrapolation Codes
Konrad-Zuse-Zentrum Berlin, 1992

Software :

C. Wulff, F. Schilder, A. Schebesch.
SYMPERCON (Continuation software for symmetric periodic orbits)
Under development, the current version of the software together with a manual can be downloaded here .