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Publikationen:
in press:
- M. Lichtner, M.
Radziunas, L. Recke,
Well-posedness,
smooth dependence and center manifold reduction for a semilinear
hyperbolic system from laser dynamics",
to appear in Math. Models
Methods Appl. Sci.
- M. Radziunas, A. Glitzky,
U. Bandelow, M. Wolfrum, U.
Troppenz, J. Kreissl, W. Rehbein,
"Improving the modulation bandwidth
in semiconductor lasers by passive feedback",
to appear in IEEE J. of
Sel. Top. in Quant. Elect.
- I. Kmit and
L. Recke.
Fredholm alternative for periodic-Dirichlet problems for linear
hyperbolic systems.
Preprint 342, DFG Research Center
Matheon, 2006. To appear in J. Math.
Anal. Appl.
2006
- M. Wolfrum, S. Yanchuk,
Eckhaus
instability in systems
with large delay,
Phys. Rev.
Lett.
96, 220201 (2006).
- S. Yanchuk, M. Wolfrum, P.
Hövel, E. Schöll,
Control
of
unstable steady states by strongly delayed feedback,
Phys. Rev. E. 74,
026201 (2006).
- S. Yanchuk, A. Stefanski,
T. Kapitaniak, J. Wojewoda,
Dynamics
of an
array of coupled semiconductor lasers,
Phys. Rev. E. 73,
016209 (2006).
- A. Politi, F. Ginelli, S.
Yanchuk, Yu. Maistrenko,
From
synchronization to Lyapunov exponents and back,
Physica D 224,
90-101 (2006).
- M. Nizette, D. Rachinskii,
A. Vladimirov, M. Wolfrum,
Pulse
interaction via gain and loss dynamics in passive mode-locking,
Physica D 218, 1,
95-104 (2006).
- V.Z. Tronciu, H.-J.
Wünsche, M. Radziunas, M. Wolfrum,
Semiconductor
laser under resonant feedback from a Fabry-Perot:
Stability of continuous wave operation,
Phys. Rev. E 73,
046205 (2006).
- K. Gröger and
L. Recke
Applications
of
differential calculus to quasilinear elliptic boundary value problems
with non-smooth data
Nonlinear
Differ. Equations Appl. (NoDEA), 13(3): 263-285, 2006.
- D. K. Palagachev,
L. Recke, and L.
G. Softova.
Applications
of differential calculus to nonlinear elliptic boundary value problems
with discontinuous coefficients.
Math. Annalen, 336:
617-637, 2006.
2005
- S. Yanchuk,
Discretization
of
frequencies in delay coupled
oscillators,
Phys. Rev. E
72,
036205 (2005).
- S. Yanchuk,
Properties
of stationary states of delay
equations with large delay and applications to laser dynamics,
Math. Meth. Appl. Sci.
28:363-377
(2005).
- A. M. Samoilenko, L. Recke,
Conditions
for
synchronization of one oscillation system,
Ukrain.
Math.
J. (2005) 57(7): 1089-1119.
- J. Hãrterich, M.
Wolfrum,
Describing a class of
global attractors via symbol sequences,
Discrete and Continous
Dynamical Systems,
Vol 12/3, 531-554, (2005).
- 2004
- S. Yanchuk, M. Wolfrum
Instabilities of stationary states in lasers with long-delay optical
feedback,
WIAS
Preprint No. 962, (2004).
- A. Stefanski, J.
Wojewoda, T. Kapitaniak, and S. Yanchuk,
'Simple
estimation of synchronization threshold in ensembles of
diffusively coupled chaotic systems',
Phys. Rev. E.
70 (2004) 026217.
- S. Yanchuk, K. R.
Schneider, L. Recke,
Dynamics
of
two mutually coupled semiconductor lasers:
Instantaneous coupling limit,
Phys.
Rev. E 69 (2004) 056221.
- S. Yanchuk, K. R.
Schneider, and L. Recke,
Dynamics of
two F2F
coupled lasers: instantaneous coupling limit,
Proc. of SPIE
Vol.
5452
''Semiconductor lasers and laser dynamics'', pp. 51-62 (2004).
- J. Sieber,
L. Recke, and K. R. Schneider.
Dynamics of multisection semiconductor lasers.
J. Math. Sci.,
124(5):5298-5309,
(2004).
- 2003
- O. Brox, S.
Bauer, M. Radziunas, M. Wolfrum,
J. Sieber, J. Kreissl, B.
Sartorius, H.-J. Wünsche,
High-Frequency Pulsations in DFB-Lasers
with Amplified Feedback",
IEEE J Quantum Elect., 39(11), pp. 1381-1387.
- K.
Schneider, S. Yanchuk,
Complete
synchronization of symmetrically coupled autonomous systems,
Applicable Analysis, 82 (2003) 1127-1143.
- Yu.
Maistrenko, O. Popovych, and S. Yanchuk,
Synchronization and clustering in ensembles of coupled chaotic
oscillators,
in ``Synchronization: Theory and Application'' Kluwer
Acad. 2003 pp. 101-138.
- S. Yanchuk,
T. Kapitaniak,
Effect of
parameter mismatch on riddling bifurcation",
Phys. Rev. E 68 (2003)
017202.
- S. Yanchuk,
Yu. Maistrenko, E. Mosekilde,
Synchronization
of time-continuous chaotic oscillators",
Chaos 13, Issue 1, pp.
388-400.
(2003).
- S. Yanchuk,
G. Kristensen, I. Sushko,
Dynamical approach to complex regional
economic growth based on Keynesian model for China,
Chaos, Solitons
& Fractals 18 (2003) 937-952.
- 2002
- G. Albinus,
H. Gajewski, R. Huenlich,
Thermodynamic design of energy
models
of semiconductor devices,
Nonlinearity 15 (2002) 367-383.
- F. Jochmann,
L. Recke,
Well-posedness of an
initial boundary value
problem
from laser dynamics,
Math. Models and Methods in Appl. Sciences 12,
pp.
593-606, (2002).
- J. Sieber,
Numerical bifurcation analysis
for multisection
semiconductor
lasers,
SIAM J. Appl. Dyn. Systems, 1(2), pp. 248-270, (2002).
- Krauskopf,
Bernd; Schneider, Klaus R.;
Sieber, Jan; Wieczorek,
Sebastian;
Wolfrum, Matthias,
Excitability and self-pulsations near homoclinic
bifurcations in semiconductor laser systems
Opt. Comm. 215, pp.
367-379, (2002).
- S. Bauer, O.
Brox, J. Sieber, M. Wolfrum,
Novel concept for a tunable
optical microwave source,
Proceedings of the OFC, Optical Society of
America,
(2002).
- M. Wolfrum,
D. Turaev,
Instabilities of
lasers with moderately delayed optical feedback,
Optics Communications
212 (2002),
127-138.
- 2001
- U. Bandelow,
M. Radziunas, J. Sieber, M.
Wolfrum,
Impact of Gain
Dispersion
on the Spatio-temporal Dynamics of Multisection Lasers,
IEEE J.
Quantum
Electron. 37(2), pp. 183-189, (2001).
- K. Gaertner,
H. Gajewski,
Domain Separation
by Means of Sign Changing
Eigenfunctions of p-Laplacians,
1-15, Applicable Analysis 79 (2001)
483-501.
- H. Gajewski,
An application of eigenfunctions
of p-Laplacians to domain
separation,
Mathematica Bohemia, 126, 395-402 (2001)
- J. Sieber,
Longitudinal Dynamics of
Semiconductor Lasers,
Dissertation,
Humboldt-Universitaet zu Berlin, WIAS-Report No. 20, (2001).
- Radziunas,
Mindaugas; Schneider, Klaus R.;
Tronciu, Vasile;
Wünsche,
Hans-Juergen,
Excitability of lasers with integrated dispersive
reflector,
WIAS-Preprint No. 631 (2001).
- 2000
- K.
Schneider, M. Radziunas, H.-J. Wünsche, B. Sartorius,
O. Brox, D. Hoffmann, and D. Marcenac
Modeling self-pulsating DFB-lasers with
integrated phase tuning section,
IEEE J. Quantum Electr. 36,
1026-1034
(2000).
- K.
Schneider, V. Tronciu, H.-J. Wünsche, J. Sieber, and
F. Henneberger
On the dynamics of single mode lasers with
passive dispersive reflector,
Optics Communicat. 182, 221-228 (2000).
- H. Gajewski,
U. Bandelow und H.-Chr.
Kaiser
Modeling combined effects of carrier
injection, photon dynamics
and
heating in strained multi-quantum well lasers,
in Physics and
Simulation
of Optoelectronic Devices VIII, editors: Rolf H. Binder, Peter Blood,
Marek
Osinski, (Proceedings of SPIE), vol.
3944 (2000), 301-310.
- H. Gajewski
and K. Zacharias
On a Reaction--Diffusion System Modelling
Chemotaxis,
(B. Fiedler, K.
Groeger,
J. Sprekels eds.) QUADIFF 99, World Scientific, Singapore (2000),
1334-1336. ).
- 1999
- K.
Schneider, M. Radziunas, H.-J. Wünsche, B. Sartorius, H.-P.
Nolting,
O. Brox, and D. Hoffmann
Modeling of new grating designs for
self-pulsating DFB lasers,
in: Integrated Photonics Research, OSA
Technical
Digest (Optical Society of America, Washington DC) 1999, 358-360.
- L. Recke,
K. R. Schneider, and
V. V. Strygin.
Spectral properties of coupled wave equations.
Z.
Angew. Math. Phys. (ZAMP), 50:925-933, 1999.
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