Journals (Guest Editor)
Associate editor of
Publications
2011
J. Ren, Z. Cheng, S. Siegmund.
Neutral operator and neutral differential equation.
Abstract and Applied Analysis, in press.
T.S. Doan, S. Siegmund.
Differential equations with random delay.
Fields Communication Series Vol. 61, in press.
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. Dynam. Differential Equations (2011), 1-20.
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. Chen, 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 und S. Siegmund.
A definition of spectrum for differential equations on finite time.
J. Differential Equations 246 (2009), 1098-1118.
N. van Minh, G. Nguerekata und S. Siegmund.
Circular spectrum and bounded solutions of periodic evolution equations.
J. Differential Equations 246 (2009), 3089-3108.
T.S. Doan, A. Kalauch and 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 und S. Siegmund.
A computational ergodic theorem for infinite iterated function systems.
Stoch. Dyn. 8 (2008), 365-381.
A. Berger, T.S. Doan und 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 und 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 und 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.
Nguyen Dinh 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.
