Associate editor of the following Journals
Publications
2012
T.S. Doan, S. Siegmund.
Differential equations with random delay.
Fields Inst. Commun., in press.
C. Kühn, S. Siegmund, T. Gross.
Dynamical analysis of evolution equations in generalized
models.
IMA J. Appl. Math. (2012), 1-27.
T.S. Doan, D. Karrasch, T.Y. Ngyuen, S. Siegmund.
A unified approach to finite-time hyperbolicity which
extends finite-time Lyapunov exponents.
J. Differential Equations 252 (2012),
5535-5554.
T.S. Doan, M. Moussi, S. Siegmund.
Integral manifolds of nonautonomous boundary Cauchy
problems.
J. Nonl. Evol. Equ. Appl. 1 (2012), 1-15.
2011
T. Gross, S. Siegmund.
Generalized models for high-throughput analysis of
uncertain nonlinear systems.
J. Math. Ind. (2011), 1:9, doi:10.1186/2190-5983-1-9.
J. Ren, Z. Cheng, S. Siegmund.
Neutral operator and neutral differential
equation.
Abstract and Applied Analysis (2011), Article ID 969276, 29
pages, doi:10.1155/2011/969276.
Y. Chen, J. Ren, S. Siegmund.
Green's function for third-order differential
equations.
Rocky Mt. J. Math. 41 No. 5 (2011),
1417-1478.
L.H. Duc, S. Siegmund.
Existence of finite-time hyperbolic trajectories for
planar Hamiltonian flows.
J Dyn Diff Equat 23 (2011), 475-494.
T.Y. Nguyen, T.S. Doan, T. Jäger, S. Siegmund.
Nonautonomous saddle-node bifurcations in the
quasiperiodically forced logistic map.
Intern. J. Bifur. Chaos Appl. Sci. Engrg. 5 (2011),
1427-1438.
J. Ren, S. Siegmund, Y. Chen.
Positive periodic solutions for third-order nonlinear
differential equations.
Electron. J. Differ. Equ. 2011 No. 66 (2011), 1-19.
J. Ren, Z. Cheng, S. Siegmund.
Positive periodic solution for Brillouin electron beam
focusing system.
Discrete Contin. Dyn. Syst. 16 No. 1 (2011),
385-392.
T.S. Doan, K. Palmer, S. Siegmund.
Transient spectral theory, stable and unstable cones and
Gershgorin’s theorem for finite-time differential
equations.
J. Differential Equations 250 (2011), 4177-4199.
M. Zumsande, D. Stiefs, S. Siegmund, T. Gross.
General analysis of mathematical models for bone
remodeling.
Bone 48 No. 4 (2011), 910-917.
N. Koksch, S. Siegmund.
Feedback control via inertial manifolds for nonautonomous
evolution equations.
Communications on Pure and Applied Analysis 10 No. 3
(2011), 917-936.
2010
T.S. Doan, A. Kalauch, S. Siegmund, F. Wirth.
Stability radii for positive linear time-invariant
systems on time scales.
Systems & Control Letters 59 (2010), 173-179.
A. Jentzen, F. Leber, D. Schneisgen, A. Berger, S.
Siegmund.
An improved maximum allowable transfer interval for
Lp-stability of networked control systems.
IEEE Transactions on Automatic Control 55 (2010),
179-184.
Z. Cheng, J. Ren, S. Siegmund.
Periodic solution for generalized high-order delay
differential equations.
Asian-European Journal of Mathematics 3 No. 1 (2010),
29-41.
2009
H. Crauel, T.S. Doan, S. Siegmund.
Difference equations with random delay.
Journal of Difference Equations and Applications
15 (2009), 627-647.
A. Berger, T.S. Doan, S. Siegmund.
A definition of spectrum for differential equations on
finite time.
J. Differential Equations 246 (2009), 1098-1118.
N.V. Minh, G. Nguerekata, S. Siegmund.
Circular spectrum and bounded solutions of periodic
evolution equations.
J. Differential Equations
246 (2009), 3089-3108.
T.S. Doan, A. Kalauch, S. Siegmund.
Exponential stability of linear time-invariant systems on
time scales.
Nonlinear Dyn. Syst. Theory 9 (2009), 37-50.
2008
A. Berger, S. Siegmund.
Uniformly attracting solutions of nonautonomous
differential equations.
Nonlinear Analysis 68 (2008), 3789-3811.
A. Berger, T.S. Doan, S. Siegmund.
A Remark on Finite-Time Hyperbolicity.
PAMM, Proc. Appl. Math. Mech. 8 (2008), 10917-10918.
N.D. Cong, L.H. Duc, S. Siegmund.
A computational ergodic theorem for infinite iterated
function systems.
Stoch. Dyn. 8 (2008),
365-381.
A. Berger, T.S. Doan, S. Siegmund.
Nonautonomous finite-time dynamics.
Discrete Contin. Dyn. Syst. 9 (2008), 463-492.
L.H. Duc, S. Siegmund.
Hyperbolicity and invariant manifolds for planar
nonautonomous systems on finite time intervals.
Intern. J. Bifur. Chaos Appl. Sci. Engrg. 3 (2008),
641-674.
2007
P. Kloeden, L. Grüne, S. Siegmund, F. Wirth.
Lyapunov's second method for nonautonomous differential
equations.
Discrete Contin. Dyn. Syst. 18 (2007), 375-403.
J. Duan, C. Pötzsche, S. Siegmund.
Slow integral manifolds for Lagrangian fluid dynamics in
unsteady geophysical flows.
Physica D 233 (2007), 73-82.
A. Berger, S. Siegmund.
On the distribution of mantissae in nonautonomous
difference equations.
J. Differ. Equations Appl.
13 (2007), 829-845.
R.L. Devaney, M.M. Rocha, S. Siegmund.
Rational maps with generalized Sierpinski gasket Julia
sets.
Topology Appl. 154 (2007),
11-27.
2006
L.H. Duc, A. Ilchmann, S. Siegmund, P. Taraba.
On stability of linear time-varying second-order
differential equations.
Quart. Appl. Math. 64 (2006), 137-151.
F. Colonius, S. Hilger, P. Kloeden, S. Siegmund
(eds.).
Special issued edicated to the memory of Bernd
Aulbach.
J. Differ. Equations Appl., Vol. 12,
Numbers 3 and 4 (2006).
B. Aulbach, M. Rasmussen, S. Siegmund.
Invariant manifolds as pullback attractors of
nonautonomous differential equations.
Discrete
Contin. Dyn. Syst. Ser. A 15 (2006), 579-596.
S. Siegmund, P. Taraba.
Approximation of box dimension of attractors using the
subdivision algorithm.
Dyn. Syst. 21 (2006), 1-24.
P. Blanchard, R.L. Devaney, D.M. Look, M.M Rocha, P. Seal,
S. Siegmund, D. Uminsky.
Sierpinski carpets and gaskets as Julia sets of rational
maps.
Dynamics on the Riemann Sphere, ed., P.
Horth and C. Petersen.
European Math Society, 2006, 97-119.
2005
B. Aulbach, M. Rasmussen, S. Siegmund.
Invariant manifolds as pullback attractors of
nonautonomous difference equations.
Proc. of 8th
ICDEA. eds: B. Aulbach, S. Elaydi, G. Ladas, O. Dosly, CRC,
Boca Raton (2005), 215-227.
B. Aulbach, M. Rasmussen, S. Siegmund.
Approximation of attractors of nonautonomous dynamical
systems.
Discrete Contin. Dyn. Syst. Ser. B
5 No. 2, 215-238.
I. Chueshov, S. Siegmund.
On dimension and metric properties of trajectory
attractors.
J. Dynam. Differential Equations
17 (2005), 621-641.
P.E. Kloeden, S. Siegmund.
Bifurcations and continuous transitions of attractors in
autonomous and nonautonomous systems.
Internat.
J. Bifur. Chaos Appl. Sci. Engrg. 15 (2005), 1-21.
2004
S. Siegmund.
Computation of nonautonomous invariant
manifolds.
Proc. of 6th ICDEA, eds: B. Aulbach, S. Elaydi, G.
Ladas, Taylor & Francis, London, (2004), 215-227.
C. Pötzsche, S. Siegmund.
Cm-smoothness of invariant fiber bundles for
dynamic equations on measure chains.
Advances in Difference Equations 2 (2004), 141-182.
H. Crauel, Luu Hoang Duc, S. Siegmund.
Towards a Morse theory for random dynamical
systems .
Stoch. Dyn. 4 (2004), 277-296.
I. Chueshov, M. Polat, S. Siegmund.
Gevrey regularity of global attractor for generalized
Benjamin-Bona-Mahony equation.
Mat. Fiz. Anal.
Geom. 11 No. 2 (2004), 226-242.
A. Berger, S. Siegmund, Y. Yi.
On almost automorphic dynamics in symbolic
lattices.
Ergodic Theory Dynam. Systems 24 (2004), 677-696.
J. López Fenner, S. Siegmund.
An (h,k) dichotomy spectrum for systems of linear
differential equations with impulse effect.
Dynam. Contin. Discrete Impuls. Systems 11 (2004),
1-17.
C. Pötzsche, S. Siegmund.
A limit set trichotomy for order-preserving systems on
time scales.
Electron. J. Differential Equations 64 (2004), 1-18.
K. Palmer, S. Siegmund.
Generalized attractor-repeller pairs, diagonalizability
and integral separation.
Adv. Nonlinear Stud. 4 (2004), 189-207.
2003
A. Berger, S. Siegmund.
On the gap between random dynamical systems and
continuous skew products.
J. Dynam. Differential
Equations 15 (2003), 237-279.
H. Leiva, S. Siegmund.
A necessary algebraic condition for controllability and
observability of linear time-varying systems.
IEEE Trans. Automat. Control 48 No. 12 (2002),
2229-2232.
F. Colonius, S. Siegmund.
Normal forms of control systems at singular
points.
J. Dynam. Differential Equations
15 (2003), 49-59.
C. Pötzsche, S. Siegmund, F. Wirth.
A spectral characterization of exponential stability for
linear time-invariant systems on time scales.
Discrete Contin. Dyn. Syst. 9 (2003), 1223-1241.
N. Koksch, S. Siegmund.
Cone invariance and squeezing properties for inertial
manifolds of nonautonomous evolution equations.
Banach Center Publications 60 (2003), 27-48.
S. Siegmund.
Normal forms for nonautonomous difference
equations.
Advances in Difference Equations IV.
Comput. Math. Appl. 45 (2003), 1059-1073.
N. Koksch, S. Siegmund.
Inertial manifolds for nonautonomous evolution
equations.
Progress in analysis, Vol. I, II
(Berlin, 2001), World Sci. Publishing, River Edge, NJ, 2003,
545-553.
2002
N. Koksch, S. Siegmund.
Pullback attracting inertial manifolds for nonautonomous
dynamical systems.
J. Dynam. Differential
Equations 14 (2002), 889-941.
N.D. Cong, S. Siegmund.
Dichotomy spectrum of nonautonomous linear stochastic
differential equations.
Stoch. Dyn. 2 (2002), 175-201.
B. Aulbach, C. Pötzsche, S. Siegmund.
A smoothness theorem for invariant fiber
bundles.
J. Dynam. Differential Equations
14 (2002), 519-547.
S. Siegmund.
Reducibility of nonautonomous linear differential
equations.
J. London Math. Soc (2) 65 (2002), 397-410.
S. Siegmund.
Dichotomy spectrum for nonautonomous differential
equations.
J. Dynam. Differential Equations
14 (2002), 243-258.
S Siegmund.
Normal forms for nonautonomous differential
equations.
J. Differential Equations 178, 541-573.
S. Siegmund.
A spectral notion for dynamic equations on time
scales.
J. Comput. Appl. Math. 141 (2002),
255-265.
S. Siegmund.
Block diagonalization of linear difference
equations.
J. Differ. Equations Appl. 8
(2002), 177-189.
2001
N. Koksch, S. Siegmund.
Inertial manifolds for nonautonomous dynamical systems
and for nonautonomous evolution equations.
Proc. of Equadiff 2001, Masaryk University Press, Brno,
221-266.
B. Aulbach, S. Siegmund.
The dichotomy spectrum for noninvertible systems of
linear difference equations.
J. Differ. Equations
Appl. 7 (2001), 895-913.
2000
S. Siegmund.
Normal form of Duffing-van der Pol oscillator under
nonautonomous parametric perturbations.
Proc. of Int. Conference on Dynamical Systems and Differential
Equations, Atlanta/USA, published as added volume of Discrete
Contin. Dyn. Syst. (2000), 357-361.
B. Aulbach, S. Siegmund.
A spectral theory for nonautonomous difference
equations.
Proc. of 5th Int. Conference on Difference Equations and
Applications, Temuco/Chile, 45-55, 2000.
S. Siegmund.
Local theory for differential equations of Carathéodory
type.
Proc. of Equadiff 1999, Berlin, 871-873, World Sci. Publishing,
River Edge, NJ, 2000.
1999
S. Siegmund.
Spektraltheorie, glatte Faserungen und Normalformen für
Differentialgleichungen vom Carathéodory-Typ.
Dissertation. University of Augsburg. 1999.
