×

zbMATH — the first resource for mathematics

Siegmund, Stefan

Compute Distance To:
Author ID: siegmund.stefan Recent zbMATH articles by "Siegmund, Stefan"
Published as: Siegmund, S.; Siegmund, Stefan
Documents Indexed: 126 Publications since 2000, including 2 Books
Reviewing Activity: 86 Reviews
all top 5

Co-Authors

10 single-authored
21 Doan, Thai Son
10 Nguyen Dinh Cong
8 Berger, Arno
8 Duc, Luu Hoang
7 Tuan, Hoang The
6 Aulbach, Bernd
6 Kalauch, Anke
6 Páez Chávez, Joseph Nikolai
6 Pötzsche, Christian
6 Ren, Jingli
6 Salimi, Mehdi
6 Sharifi, Somayeh
6 Son, Doan Thai
5 Epperlein, Jeremias
4 Babiarz, Artur
4 Behrisch, Mike
4 Czornik, Adam
4 Gross, Thilo
4 Kerkhoff, Sebastian
4 Kloeden, Peter Eris
4 Schneider, Friedrich Martin
4 Stehlík, Petr
4 Trostorff, Sascha
3 Anh, Pham The
3 Cheng, Zhibo
3 Colonius, Fritz
3 Koksch, Norbert J.
3 Lotfi, Taher
3 Nguyen Van Minh
3 Niezabitowski, Michał
3 Rasmussen, Martin
3 Waurick, Marcus
3 Wirth, Fabian Roger
2 Chen, Yueli
2 Chu, Jifeng
2 Chueshov, Igor’ Dmitrievich
2 Crauel, Hans
2 Devaney, Robert L.
2 Diblík, Josef
2 Dieu, Bui Xuan
2 Do, Anne-Ly
2 Jungmann, Dirk
2 Kitzing, Konrad
2 Moreno Rocha, Mónica
2 Nowak, Christine
2 Palmer, Ken
2 Picard, Rainer H.
2 Piskarëv, S. I.
2 Schreiter, Jörg
2 Taraba, Peter
1 Blanchard, Paul R.
1 Boccaletti, Stefano
1 Bohner, Martin J.
1 Bonckaert, Patrick
1 Budišić, Marko
1 Cao, Qingjie
1 Cuong, Le Viet
1 De Maesschalck, Peter
1 Diethelm, Kai
1 Duan, Jinqiao
1 Feng, Wei
1 Feng, Zhaosheng
1 Ferrara, Massimiliano
1 Garay, Barna
1 Götz, Thomas B.
1 Grasselli, Maurizio
1 Grüne, Lars
1 Hilger, Stefan
1 Ibragimov, Akif
1 Ibragimov, Gafurjan I.
1 Ilchmann, Achim
1 Oertel-Jäger, Tobias Hendrik
1 Jentzen, Arnulf
1 Karrasch, Daniel
1 Klose, M.
1 Kühn, Christian
1 Leber, Frank
1 Leiva, Hugo
1 Liao, Fangfang
1 Look, Daniel M.
1 López Fenner, Julio
1 Lu, Xin
1 Marschner, Uwe
1 Mayr, Christian H.
1 Mezić, Igor
1 Moussi, Mohammed
1 N’Guérékata, Gaston Mandata
1 Nguyen, T. Y. N.
1 Pastor, Javier
1 Polat, Mustafa
1 Pöschel, Reinhard
1 Richter, Andreas
1 Schmalfuß, Björn
1 Schneisgen, Daniela
1 Seal, Pradipta
1 Šimon Hilscher, Roman
1 Švígler, Vladimír
1 The, Nguyen Thi
1 Tuan, Hoang
1 Uminsky, David T.
...and 9 more Co-Authors
all top 5

Serials

9 Journal of Dynamics and Differential Equations
8 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Difference Equations and Applications
6 Journal of Differential Equations
6 Discrete and Continuous Dynamical Systems
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Stochastics and Dynamics
4 Nonlinear Dynamics
3 IEEE Transactions on Automatic Control
3 Electronic Journal of Qualitative Theory of Differential Equations
2 Semigroup Forum
2 Systems & Control Letters
2 Physica D
2 Applied Mathematical Modelling
2 Topological Methods in Nonlinear Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Abstract and Applied Analysis
2 Fractional Calculus & Applied Analysis
2 Journal of Biological Dynamics
1 Computers & Mathematics with Applications
1 IMA Journal of Applied Mathematics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Calcolo
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 European Journal of Applied Mathematics
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 Notices of the American Mathematical Society
1 Archives of Control Sciences
1 Applied Categorical Structures
1 Bulletin des Sciences Mathématiques
1 Matematicheskaya Fizika, Analiz, Geometriya
1 Vietnam Journal of Mathematics
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Dynamical Systems
1 Nonlinear Dynamics and Systems Theory
1 Advanced Nonlinear Studies
1 Communications on Pure and Applied Analysis
1 Advances in Difference Equations
1 Stochastics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Discrete and Continuous Dynamical Systems. Series S
1 Asian-European Journal of Mathematics
1 International Journal of Differential Equations
1 Dynamic Games and Applications
1 Journal of Mathematics in Industry
1 Journal of Nonlinear Evolution Equations and Applications
1 Springer Proceedings in Mathematics & Statistics
1 Open Mathematics

Publications by Year

Citations contained in zbMATH

92 Publications have been cited 711 times in 488 Documents Cited by Year
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
48
2003
Dichotomy spectrum for nonautonomous differential equations. Zbl 0998.34045
Siegmund, Stefan
40
2002
The dichotomy spectrum for noninvertible systems of linear difference equations. Zbl 1001.39003
Aulbach, Bernd; Siegmund, Stefan
31
2001
A new class of three-point methods with optimal convergence order eight and its dynamics. Zbl 1309.65054
Lotfi, Taher; Sharifi, Somayeh; Salimi, Mehdi; Siegmund, Stefan
26
2015
On stable manifolds for planar fractional differential equations. Zbl 1354.34015
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
23
2014
Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems. Zbl 1079.34041
Kloeden, P. E.; Siegmund, S.
21
2005
A definition of spectrum for differential equations on finite time. Zbl 1169.34040
Berger, A.; Doan, T. S.; Siegmund, S.
18
2009
On stability of linear time-varying second-order differential equations. Zbl 1119.34039
Duc, Luu Hoang; Ilchmann, Achim; Siegmund, Stefan; Taraba, Peter
18
2006
A spectral theory for nonautonomous difference equations. Zbl 1062.39014
Aulbach, Bernd; Siegmund, Stefan
18
2002
Stability radii for positive linear time-invariant systems on time scales. Zbl 1223.93082
Doan, T. S.; Kalauch, A.; Siegmund, S.; Wirth, F. R.
17
2010
Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals. Zbl 1147.37314
Duc, Luu Hoang; Siegmund, Stefan
16
2008
A Hilbert space perspective on ordinary differential equations with memory term. Zbl 1307.34103
Kalauch, Anke; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
15
2014
Chaotic actions of topological semigroups. Zbl 1339.37028
Schneider, Friedrich Martin; Kerkhoff, Sebastian; Behrisch, Mike; Siegmund, Stefan
15
2013
Linearized asymptotic stability for fractional differential equations. Zbl 1363.34004
Cong, Nguyen; Doan, Thai; Siegmund, Stefan; Tuan, Hoang
13
2016
Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan
13
2007
Pullback attracting inertial manifolds for nonautonomous dynamical systems. Zbl 1025.34042
Koksch, Norbert; Siegmund, Stefan
13
2002
Normal forms for nonautonomous differential equations. Zbl 1011.34027
Siegmund, Stefan
13
2002
Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response. Zbl 1390.37084
Ren, Jingli; Yu, Liping; Siegmund, Stefan
12
2017
Nonautonomous finite-time dynamics. Zbl 1148.37010
Berger, Arno; Son, Doan Thai; Siegmund, Stefan
12
2008
Solving nonlinear equations by a derivative-free form of the King’s family with memory. Zbl 1347.65098
Sharifi, Somayeh; Siegmund, Stefan; Salimi, Mehdi
11
2016
Exponential stability of linear time-invariant systems on time scales. Zbl 1184.34088
Doan, T. S.; Kalauch, A.; Siegmund, S.
11
2009
Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
11
2005
On the gap between random dynamical systems and continuous skew products. Zbl 1038.37040
Berger, Arno; Siegmund, Stefan
11
2003
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
10
2004
Reducibility of nonautonomous linear differential equations. Zbl 1091.34020
Siegmund, Stefan
10
2002
A smoothness theorem for invariant fiber bundles. Zbl 1037.37013
Aulbach, Bernd; Pötzsche, Christian; Siegmund, Stefan
10
2002
On stable manifolds for fractional differential equations in high-dimensional spaces. Zbl 1371.34009
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
9
2016
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations. Zbl 1344.37038
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian
9
2015
A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents. Zbl 1251.37025
Doan, T. S.; Karrasch, D.; Nguyen, T. Y.; Siegmund, S.
9
2012
\(C^m\)-smoothness of invariant fiber bundles. Zbl 1075.39014
Pötzsche, Christian; Siegmund, Stefan
9
2004
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
9
2004
Optimal Newton-secant like methods without memory for solving nonlinear equations with its dynamics. Zbl 1391.65135
Salimi, Mehdi; Lotfi, Taher; Sharifi, Somayeh; Siegmund, Stefan
8
2017
New modification of Maheshwari’s method with optimal eighth order convergence for solving nonlinear equations. Zbl 1350.65045
Sharifi, Somayeh; Ferrara, Massimiliano; Salimi, Mehdi; Siegmund, Stefan
8
2016
Circular spectrum and bounded solutions of periodic evolution equations. Zbl 1191.34077
Nguyen, Van Minh; N’Guerekata, Gaston; Siegmund, Stefan
8
2009
Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R.
8
2007
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
7
2017
Nonautonomous Saddle-node bifurcations in the quasiperiodically forced logistic map. Zbl 1248.37040
Yet, Nguyen Tien; Son, Doan Thai; Jäger, Tobias; Siegmund, Stefan
7
2011
A remark on finite-time hyperbolicity. Zbl 1393.34055
Berger, A.; Doan, T. S.; Siegmund, S.
7
2008
On almost automorphic dynamics in symbolic lattices. Zbl 1058.37007
Berger, Arno; Siegmund, Stefan; Yi, Yingfei
7
2004
An SIR-dengue transmission model with seasonal effects and impulsive control. Zbl 1378.92076
Páez Chávez, Joseph; Götz, Thomas; Siegmund, Stefan; Wijaya, Karunia Putra
6
2017
Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations. Zbl 1228.34083
Doan, T. S.; Palmer, K.; Siegmund, S.
6
2011
Dichotomy spectrum of nonautonomous linear stochastic differential equations. Zbl 1034.34057
Nguyen Dinh Cong; Siegmund, Stefan
6
2002
Differential equations with random delay. Zbl 1293.37024
Siegmund, S.; Doan, T. S.
5
2012
Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows. Zbl 1247.37027
Duc, Luu Hoang; Siegmund, Stefan
5
2011
Neutral operator and neutral differential equation. Zbl 1229.34120
Ren, Jingli; Cheng, Zhibo; Siegmund, Stefan
5
2011
Normal forms for nonautonomous difference equations. Zbl 1055.39031
Siegmund, S.
5
2003
A spectral notion for dynamic equations on time scales. Zbl 1013.34050
Siegmund, Stefan
5
2002
A note on the generation of random dynamical systems from fractional stochastic delay differential equations. Zbl 1317.37099
Duc, Luu Hoang; Schmalfuß, Björn; Siegmund, Stefan
4
2015
Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111
Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan
4
2014
Positive periodic solutions for third-order nonlinear differential equations. Zbl 1364.34060
Ren, Jingli; Siegmund, Stefan; Chen, Yueli
4
2011
Difference equations with random delay. Zbl 1171.37325
Crauel, H.; Doan, T. S.; Siegmund, S.
4
2009
A computational ergodic theorem for infinite iterated function systems. Zbl 1164.37003
Cong, Nguyen Dinh; Son, Doan Thai; Siegmund, Stefan
4
2008
On the distribution of mantissae in nonautonomous difference equations. Zbl 1130.37005
Berger, A.; Siegmund, S.
4
2007
Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David
4
2006
Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068
Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan
4
2006
Block diagonalization of linear difference equations. Zbl 1004.37011
Siegmund, Stefan
4
2002
On a fixed duration pursuit differential game with geometric and integral constraints. Zbl 1348.49038
Salimi, Mehdi; Ibragimov, Gafurjan I.; Siegmund, Stefan; Sharifi, Somayeh
3
2016
Mesochronic classification of trajectories in incompressible 3D vector fields over finite times. Zbl 1380.37144
Mezić, Igor; Son, Doan Thai; Siegmund, Stefan; Budišić, Marko
3
2016
Evolutionary games on graphs and discrete dynamical systems. Zbl 1310.05141
Epperlein, Jeremias; Siegmund, Stefan; Stehlík, Petr
3
2015
Green’s function for third-order differential equations. Zbl 1362.34045
Chen, Yueli; Ren, Jingli; Siegmund, Stefan
3
2011
Positive periodic solution for Brillouin electron beam focusing system. Zbl 1242.34072
Ren, Jingli; Cheng, Zhibo; Siegmund, Stefan
3
2011
An improved maximum allowable transfer interval for \(L^p\)-stability of networked control systems. Zbl 1368.93642
Jentzen, Arnulf; Leber, Frank; Schneisgen, Daniela; Berger, Arno; Siegmund, Stefan
3
2010
Uniformly attracting solutions of nonautonomous differential equations. Zbl 1156.34042
Berger, A.; Siegmund, S.
3
2008
Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
3
2005
\(\mathcal{C}^m\)-smoothness of invariant fiber bundles for dynamic equations on measure chains. Zbl 1086.37016
Pötzsche, Christian; Siegmund, Stefan
3
2004
Stability of scalar nonlinear fractional differential equations with linearly dominated delay. Zbl 1441.34084
Tuan, Hoang The; Siegmund, Stefan
2
2020
Modeling and analysis of integrated pest control strategies via impulsive differential equations. Zbl 06915925
Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan
2
2017
An instability theorem for nonlinear fractional differential systems. Zbl 1368.34016
Tuan, Hoang The; Siegmund, Stefan; Son, Doan Thai; Cong, Nguyen
2
2017
Dynamical systems in categories. Zbl 1369.37024
Behrisch, Mike; Kerkhoff, Sebastian; Pöschel, Reinhard; Schneider, Friedrich Martin; Siegmund, Stefan
2
2017
Erratum to: “On stable manifolds for fractional differential equations in high-dimensional spaces”. Zbl 1371.34010
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
2
2016
Coexistence equilibria of evolutionary games on graphs under deterministic imitation dynamics. Zbl 1329.05208
Epperlein, Jeremias; Siegmund, Stefan; Stehlík, Petr; Švígler, Vladimír
2
2016
On Lyapunov exponents of difference equations with random delay. Zbl 1366.37117
Cong, Nguyen Dinh; Doan, Thai Son; Siegmund, Stefan
2
2015
Stability of positive linear switched systems on ordered Banach spaces. Zbl 1305.93160
Doan, T. S.; Kalauch, A.; Klose, M.; Siegmund, S.
2
2015
A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets. Zbl 1369.93439
Doan, Thai Son; Kalauch, Anke; Siegmund, Stefan
2
2013
Locally compact groups admitting faithful strongly chaotic actions on Hausdorff spaces. Zbl 1277.37054
Schneider, Friedrich Martin; Kerkhoff, Sebastian; Behrisch, Mike; Siegmund, Stefan
2
2013
Phase-locked trajectories for dynamical systems on graphs. Zbl 1306.37014
Epperlein, Jeremias; Siegmund, Stefan
2
2013
Dynamical analysis of evolution equations in generalized models. Zbl 1417.37090
Kuehn, Christian; Siegmund, Stefan; Gross, Thilo
2
2013
Approximation of box dimension of attractors using the subdivision algorithm. Zbl 1087.37019
Siegmund, S.; Taraba, P.
2
2006
Generalized attractor-repeller pairs, diagonalizability and integral separation. Zbl 1077.37020
Palmer, Ken; Siegmund, Stefan
2
2004
An \((H,K)\) dichotomy spectrum for systems of linear differential equations with impulse effects. Zbl 1053.34007
Fenner, Julio López; Siegmund, Stefan
2
2004
A necessary algebraic conditions for controllability and observability of linear time-varying systems. Zbl 1364.93067
Leiva, Hugo; Siegmund, Stefan
2
2003
Normal form of Duffing-van der Pol oscillator under nonautonomous parametric perturbations. Zbl 1301.34052
Siegmund, Stefan
2
2001
A Hilbert space approach to difference equations. Zbl 1427.39001
Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2019
A Sternberg theorem for nonautonomous differential equations. Zbl 1423.34039
Cuong, L. V.; Doan, T. S.; Siegmund, S.
1
2019
Topological stability criteria for networking dynamical systems with Hermitian Jacobian. Zbl 1381.93090
Do, A. L.; Boccaletti, S.; Epperlein, J.; Siegmund, S.; Gross, T.
1
2016
Asymptotic behavior of linear almost periodic differential equations. Zbl 1365.34076
Dieu, Bui Xuan; Duc, Luu Hoang; Siegmund, Stefan; Van Minh, Nguyen
1
2016
Periodic solutions for second order singular differential systems with parameters. Zbl 1373.34067
Wang, Fanglei; Chu, Jifeng; Siegmund, Stefan
1
2015
Partial linearization for planar nonautonomous differential equations. Zbl 1316.34041
Bonckaert, P.; De Maesschalck, P.; Doan, T. S.; Siegmund, S.
1
2015
Meso-scale obstructions to stability of 1D center manifolds for networks of coupled differential equations with symmetric Jacobian. Zbl 1288.34043
Epperlein, J.; Do, A. L.; Gross, T.; Siegmund, S.
1
2013
Finite-time attractivity for diagonally dominant systems with off-diagonal delays. Zbl 1254.34085
Doan, T. S.; Siegmund, S.
1
2012
Special issue: Foundations of nonautonomous dynamical systems. Papers from the international workshop, Friedrichsdorf, Germany, September 28 – October 2, 2003. Zbl 1075.37501
Colonius, Fritz (ed.); Kloeden, Peter (ed.); Siegmund, Stefan (ed.)
1
2004
Cone invariance and squeezing properties for inertial manifolds for nonautonomous evolution equations. Zbl 1037.34039
Koksch, Norbert; Siegmund, Stefan
1
2003
Stability of scalar nonlinear fractional differential equations with linearly dominated delay. Zbl 1441.34084
Tuan, Hoang The; Siegmund, Stefan
2
2020
A Hilbert space approach to difference equations. Zbl 1427.39001
Kitzing, Konrad; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
1
2019
A Sternberg theorem for nonautonomous differential equations. Zbl 1423.34039
Cuong, L. V.; Doan, T. S.; Siegmund, S.
1
2019
Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response. Zbl 1390.37084
Ren, Jingli; Yu, Liping; Siegmund, Stefan
12
2017
Optimal Newton-secant like methods without memory for solving nonlinear equations with its dynamics. Zbl 1391.65135
Salimi, Mehdi; Lotfi, Taher; Sharifi, Somayeh; Siegmund, Stefan
8
2017
Asymptotic behavior of solutions of linear multi-order fractional differential systems. Zbl 1386.34012
Diethelm, Kai; Siegmund, Stefan; Tuan, H. T.
7
2017
An SIR-dengue transmission model with seasonal effects and impulsive control. Zbl 1378.92076
Páez Chávez, Joseph; Götz, Thomas; Siegmund, Stefan; Wijaya, Karunia Putra
6
2017
Modeling and analysis of integrated pest control strategies via impulsive differential equations. Zbl 06915925
Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan
2
2017
An instability theorem for nonlinear fractional differential systems. Zbl 1368.34016
Tuan, Hoang The; Siegmund, Stefan; Son, Doan Thai; Cong, Nguyen
2
2017
Dynamical systems in categories. Zbl 1369.37024
Behrisch, Mike; Kerkhoff, Sebastian; Pöschel, Reinhard; Schneider, Friedrich Martin; Siegmund, Stefan
2
2017
Linearized asymptotic stability for fractional differential equations. Zbl 1363.34004
Cong, Nguyen; Doan, Thai; Siegmund, Stefan; Tuan, Hoang
13
2016
Solving nonlinear equations by a derivative-free form of the King’s family with memory. Zbl 1347.65098
Sharifi, Somayeh; Siegmund, Stefan; Salimi, Mehdi
11
2016
On stable manifolds for fractional differential equations in high-dimensional spaces. Zbl 1371.34009
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
9
2016
New modification of Maheshwari’s method with optimal eighth order convergence for solving nonlinear equations. Zbl 1350.65045
Sharifi, Somayeh; Ferrara, Massimiliano; Salimi, Mehdi; Siegmund, Stefan
8
2016
On a fixed duration pursuit differential game with geometric and integral constraints. Zbl 1348.49038
Salimi, Mehdi; Ibragimov, Gafurjan I.; Siegmund, Stefan; Sharifi, Somayeh
3
2016
Mesochronic classification of trajectories in incompressible 3D vector fields over finite times. Zbl 1380.37144
Mezić, Igor; Son, Doan Thai; Siegmund, Stefan; Budišić, Marko
3
2016
Erratum to: “On stable manifolds for fractional differential equations in high-dimensional spaces”. Zbl 1371.34010
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
2
2016
Coexistence equilibria of evolutionary games on graphs under deterministic imitation dynamics. Zbl 1329.05208
Epperlein, Jeremias; Siegmund, Stefan; Stehlík, Petr; Švígler, Vladimír
2
2016
Topological stability criteria for networking dynamical systems with Hermitian Jacobian. Zbl 1381.93090
Do, A. L.; Boccaletti, S.; Epperlein, J.; Siegmund, S.; Gross, T.
1
2016
Asymptotic behavior of linear almost periodic differential equations. Zbl 1365.34076
Dieu, Bui Xuan; Duc, Luu Hoang; Siegmund, Stefan; Van Minh, Nguyen
1
2016
A new class of three-point methods with optimal convergence order eight and its dynamics. Zbl 1309.65054
Lotfi, Taher; Sharifi, Somayeh; Salimi, Mehdi; Siegmund, Stefan
26
2015
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations. Zbl 1344.37038
Chu, Jifeng; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian
9
2015
A note on the generation of random dynamical systems from fractional stochastic delay differential equations. Zbl 1317.37099
Duc, Luu Hoang; Schmalfuß, Björn; Siegmund, Stefan
4
2015
Evolutionary games on graphs and discrete dynamical systems. Zbl 1310.05141
Epperlein, Jeremias; Siegmund, Stefan; Stehlík, Petr
3
2015
On Lyapunov exponents of difference equations with random delay. Zbl 1366.37117
Cong, Nguyen Dinh; Doan, Thai Son; Siegmund, Stefan
2
2015
Stability of positive linear switched systems on ordered Banach spaces. Zbl 1305.93160
Doan, T. S.; Kalauch, A.; Klose, M.; Siegmund, S.
2
2015
Periodic solutions for second order singular differential systems with parameters. Zbl 1373.34067
Wang, Fanglei; Chu, Jifeng; Siegmund, Stefan
1
2015
Partial linearization for planar nonautonomous differential equations. Zbl 1316.34041
Bonckaert, P.; De Maesschalck, P.; Doan, T. S.; Siegmund, S.
1
2015
On stable manifolds for planar fractional differential equations. Zbl 1354.34015
Cong, N. D.; Doan, T. S.; Siegmund, S.; Tuan, H. T.
23
2014
A Hilbert space perspective on ordinary differential equations with memory term. Zbl 1307.34103
Kalauch, Anke; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus
15
2014
Approximations of parabolic equations at the vicinity of hyperbolic equilibrium point. Zbl 1329.65111
Cao, Qingjie; Pastor, Javier; Piskarev, Sergey; Siegmund, Stefan
4
2014
Chaotic actions of topological semigroups. Zbl 1339.37028
Schneider, Friedrich Martin; Kerkhoff, Sebastian; Behrisch, Mike; Siegmund, Stefan
15
2013
A constructive approach to linear Lyapunov functions for positive switched systems using Collatz-Wielandt sets. Zbl 1369.93439
Doan, Thai Son; Kalauch, Anke; Siegmund, Stefan
2
2013
Locally compact groups admitting faithful strongly chaotic actions on Hausdorff spaces. Zbl 1277.37054
Schneider, Friedrich Martin; Kerkhoff, Sebastian; Behrisch, Mike; Siegmund, Stefan
2
2013
Phase-locked trajectories for dynamical systems on graphs. Zbl 1306.37014
Epperlein, Jeremias; Siegmund, Stefan
2
2013
Dynamical analysis of evolution equations in generalized models. Zbl 1417.37090
Kuehn, Christian; Siegmund, Stefan; Gross, Thilo
2
2013
Meso-scale obstructions to stability of 1D center manifolds for networks of coupled differential equations with symmetric Jacobian. Zbl 1288.34043
Epperlein, J.; Do, A. L.; Gross, T.; Siegmund, S.
1
2013
A unified approach to finite-time hyperbolicity which extends finite-time Lyapunov exponents. Zbl 1251.37025
Doan, T. S.; Karrasch, D.; Nguyen, T. Y.; Siegmund, S.
9
2012
Differential equations with random delay. Zbl 1293.37024
Siegmund, S.; Doan, T. S.
5
2012
Finite-time attractivity for diagonally dominant systems with off-diagonal delays. Zbl 1254.34085
Doan, T. S.; Siegmund, S.
1
2012
Nonautonomous Saddle-node bifurcations in the quasiperiodically forced logistic map. Zbl 1248.37040
Yet, Nguyen Tien; Son, Doan Thai; Jäger, Tobias; Siegmund, Stefan
7
2011
Transient spectral theory, stable and unstable cones and Gershgorins theorem for finite-time differential equations. Zbl 1228.34083
Doan, T. S.; Palmer, K.; Siegmund, S.
6
2011
Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows. Zbl 1247.37027
Duc, Luu Hoang; Siegmund, Stefan
5
2011
Neutral operator and neutral differential equation. Zbl 1229.34120
Ren, Jingli; Cheng, Zhibo; Siegmund, Stefan
5
2011
Positive periodic solutions for third-order nonlinear differential equations. Zbl 1364.34060
Ren, Jingli; Siegmund, Stefan; Chen, Yueli
4
2011
Green’s function for third-order differential equations. Zbl 1362.34045
Chen, Yueli; Ren, Jingli; Siegmund, Stefan
3
2011
Positive periodic solution for Brillouin electron beam focusing system. Zbl 1242.34072
Ren, Jingli; Cheng, Zhibo; Siegmund, Stefan
3
2011
Stability radii for positive linear time-invariant systems on time scales. Zbl 1223.93082
Doan, T. S.; Kalauch, A.; Siegmund, S.; Wirth, F. R.
17
2010
An improved maximum allowable transfer interval for \(L^p\)-stability of networked control systems. Zbl 1368.93642
Jentzen, Arnulf; Leber, Frank; Schneisgen, Daniela; Berger, Arno; Siegmund, Stefan
3
2010
A definition of spectrum for differential equations on finite time. Zbl 1169.34040
Berger, A.; Doan, T. S.; Siegmund, S.
18
2009
Exponential stability of linear time-invariant systems on time scales. Zbl 1184.34088
Doan, T. S.; Kalauch, A.; Siegmund, S.
11
2009
Circular spectrum and bounded solutions of periodic evolution equations. Zbl 1191.34077
Nguyen, Van Minh; N’Guerekata, Gaston; Siegmund, Stefan
8
2009
Difference equations with random delay. Zbl 1171.37325
Crauel, H.; Doan, T. S.; Siegmund, S.
4
2009
Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time intervals. Zbl 1147.37314
Duc, Luu Hoang; Siegmund, Stefan
16
2008
Nonautonomous finite-time dynamics. Zbl 1148.37010
Berger, Arno; Son, Doan Thai; Siegmund, Stefan
12
2008
A remark on finite-time hyperbolicity. Zbl 1393.34055
Berger, A.; Doan, T. S.; Siegmund, S.
7
2008
A computational ergodic theorem for infinite iterated function systems. Zbl 1164.37003
Cong, Nguyen Dinh; Son, Doan Thai; Siegmund, Stefan
4
2008
Uniformly attracting solutions of nonautonomous differential equations. Zbl 1156.34042
Berger, A.; Siegmund, S.
3
2008
Rational maps with generalized Sierpinski gasket Julia sets. Zbl 1104.37032
Devaney, Robert L.; Rocha, Mónica Moreno; Siegmund, Stefan
13
2007
Lyapunov’s second method for nonautonomous differential equations. Zbl 1128.37010
Grüne, Lars; Kloeden, Peter E.; Siegmund, Stefan; Wirth, Fabian R.
8
2007
On the distribution of mantissae in nonautonomous difference equations. Zbl 1130.37005
Berger, A.; Siegmund, S.
4
2007
On stability of linear time-varying second-order differential equations. Zbl 1119.34039
Duc, Luu Hoang; Ilchmann, Achim; Siegmund, Stefan; Taraba, Peter
18
2006
Sierpinski carpets and gaskets as Julia sets of rational maps. Zbl 1173.37046
Blanchard, Paul; Devaney, Robert L.; Look, Daniel M.; Moreno Rocha, Monica; Seal, Pradipta; Siegmund, Stefan; Uminsky, David
4
2006
Invariant manifolds as pullback attractors of nonautonomous differential equations. Zbl 1286.34068
Aulbach, Bernd.; Rasmussen, Martin; Siegmund, Stefan
4
2006
Approximation of box dimension of attractors using the subdivision algorithm. Zbl 1087.37019
Siegmund, S.; Taraba, P.
2
2006
Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems. Zbl 1079.34041
Kloeden, P. E.; Siegmund, S.
21
2005
Approximation of attractors of nonautonomous dynamical systems. Zbl 1076.37011
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
11
2005
Invariant manifolds as pullback attractors of nonautonomous difference equations. Zbl 1125.37009
Aulbach, Bernd; Rasmussen, Martin; Siegmund, Stefan
3
2005
Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. Zbl 1082.35042
Chueshov, Igor; Polat, Mustafa; Siegmund, Stefan
10
2004
\(C^m\)-smoothness of invariant fiber bundles. Zbl 1075.39014
Pötzsche, Christian; Siegmund, Stefan
9
2004
Towards a Morse theory for random dynamical systems. Zbl 1050.37026
Crauel, Hans; Duc, Luu Hoang; Siegmund, Stefan
9
2004
On almost automorphic dynamics in symbolic lattices. Zbl 1058.37007
Berger, Arno; Siegmund, Stefan; Yi, Yingfei
7
2004
\(\mathcal{C}^m\)-smoothness of invariant fiber bundles for dynamic equations on measure chains. Zbl 1086.37016
Pötzsche, Christian; Siegmund, Stefan
3
2004
Generalized attractor-repeller pairs, diagonalizability and integral separation. Zbl 1077.37020
Palmer, Ken; Siegmund, Stefan
2
2004
An \((H,K)\) dichotomy spectrum for systems of linear differential equations with impulse effects. Zbl 1053.34007
Fenner, Julio López; Siegmund, Stefan
2
2004
Special issue: Foundations of nonautonomous dynamical systems. Papers from the international workshop, Friedrichsdorf, Germany, September 28 – October 2, 2003. Zbl 1075.37501
Colonius, Fritz (ed.); Kloeden, Peter (ed.); Siegmund, Stefan (ed.)
1
2004
A spectral characterization of exponential stability for linear time-invariant systems on time scales. Zbl 1054.34086
Pötzsche, Christian; Siegmund, Stefan; Wirth, Fabian
48
2003
On the gap between random dynamical systems and continuous skew products. Zbl 1038.37040
Berger, Arno; Siegmund, Stefan
11
2003
Normal forms for nonautonomous difference equations. Zbl 1055.39031
Siegmund, S.
5
2003
A necessary algebraic conditions for controllability and observability of linear time-varying systems. Zbl 1364.93067
Leiva, Hugo; Siegmund, Stefan
2
2003
Cone invariance and squeezing properties for inertial manifolds for nonautonomous evolution equations. Zbl 1037.34039
Koksch, Norbert; Siegmund, Stefan
1
2003
Dichotomy spectrum for nonautonomous differential equations. Zbl 0998.34045
Siegmund, Stefan
40
2002
A spectral theory for nonautonomous difference equations. Zbl 1062.39014
Aulbach, Bernd; Siegmund, Stefan
18
2002
Pullback attracting inertial manifolds for nonautonomous dynamical systems. Zbl 1025.34042
Koksch, Norbert; Siegmund, Stefan
13
2002
Normal forms for nonautonomous differential equations. Zbl 1011.34027
Siegmund, Stefan
13
2002
Reducibility of nonautonomous linear differential equations. Zbl 1091.34020
Siegmund, Stefan
10
2002
A smoothness theorem for invariant fiber bundles. Zbl 1037.37013
Aulbach, Bernd; Pötzsche, Christian; Siegmund, Stefan
10
2002
Dichotomy spectrum of nonautonomous linear stochastic differential equations. Zbl 1034.34057
Nguyen Dinh Cong; Siegmund, Stefan
6
2002
A spectral notion for dynamic equations on time scales. Zbl 1013.34050
Siegmund, Stefan
5
2002
Block diagonalization of linear difference equations. Zbl 1004.37011
Siegmund, Stefan
4
2002
The dichotomy spectrum for noninvertible systems of linear difference equations. Zbl 1001.39003
Aulbach, Bernd; Siegmund, Stefan
31
2001
Normal form of Duffing-van der Pol oscillator under nonautonomous parametric perturbations. Zbl 1301.34052
Siegmund, Stefan
2
2001
all top 5

Cited by 680 Authors

37 Siegmund, Stefan
16 Doan, Thai Son
15 Pötzsche, Christian
15 Rasmussen, Martin
13 Wang, Jinrong
12 Kloeden, Peter Eris
12 Salimi, Mehdi
11 Waurick, Marcus
10 Trostorff, Sascha
9 Nguyen Dinh Cong
9 Sharifi, Somayeh
8 Balasuriya, Sanjeeva
8 Cheng, Zhibo
8 Davis, John M.
8 Sugie, Jitsuro
8 Tuan, Hoang The
7 Defoort, Michael
7 Djemai, Mohamed
7 Nguyen Van Minh
6 Duc, Luu Hoang
6 Gravagne, Ian A.
6 Hüls, Thorsten
6 Sharma, Janak Raj
6 Wang, Bixiang
5 Bartosiewicz, Zbigniew
5 Berger, Arno
5 DaCunha, Jeffrey J.
5 Fečkan, Michal
5 Ferrara, Massimiliano
5 Nguyen Huu Du
5 Onitsuka, Masakazu
5 Schmalfuß, Björn
5 Shah, Syed Omar
5 Zada, Akbar
5 Zhang, Jimin
4 Argyros, Ioannis Konstantinos
4 Barreira, Luis Manuel
4 Castañeda, Alvaro
4 Crauel, Hans
4 Dragičević, Davor
4 Duan, Jinqiao
4 Gao, Zhuoyan
4 Giesl, Peter
4 Lotfi, Taher
4 Miller, Alica
4 Niezabitowski, Michał
4 Obaya, Rafael
4 Palmer, Kenneth James
4 Robledo, Gonzalo
4 Son, Doan Thai
4 Taousser, Fatima Zohra
4 Valls Anglés, Cláudia
4 Van Vleck, Erik S.
4 Wang, Huoyun
4 Yu, Xiulan
3 Ardjouni, Abdelouaheb
3 Chu, Jifeng
3 Chun, Changbum
3 Czornik, Adam
3 Djoudi, Ahcene
3 Fan, Meng
3 Garrido-Atienza, María José
3 Hamza, Alaa E.
3 Hong, Phan Thanh
3 Kalauch, Anke
3 Kansal, Munish
3 Kanwar, Vinay
3 Kumar, Deepak
3 Li, Mengmeng
3 Li, Weigu
3 Liu, Xinzhi
3 Lu, Kening
3 Marotta, Sebastian M.
3 Neta, Beny
3 Nik Long, N. M. A.
3 Novo, Sylvia
3 Oganesyan, Gro R.
3 O’Regan, Donal
3 Peng, Shan
3 Picard, Rainer H.
3 Piskarëv, S. I.
3 Poulsen, Dylan
3 Ren, Jingli
3 Sasu, Adina Luminiţa
3 Stehlík, Petr
3 Steinmetz, Norbert
3 Wiggins, Stephen
3 Wu, Hao
3 Xia, Yonghui
2 Anh, Pham The
2 Babiarz, Artur
2 Balibrea, Francisco
2 Behl, Ramandeep
2 Bi, Zhonghua
2 Chekroun, Mickaël D.
2 Chen, Wuhua
2 Chuluunbaatar, Ochbadrakh
2 Church, Kevin E. M.
2 Cordero, Alicia
2 Cuong, Le Viet
...and 580 more Authors
all top 5

Cited in 167 Serials

31 Journal of Differential Equations
31 Journal of Difference Equations and Applications
20 Advances in Difference Equations
19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Journal of Dynamics and Differential Equations
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Discrete and Continuous Dynamical Systems. Series B
15 Journal of Mathematical Analysis and Applications
14 Applied Mathematics and Computation
8 Physica D
8 Stochastics and Dynamics
8 Nonlinear Analysis. Hybrid Systems
7 Journal of Computational and Applied Mathematics
7 Systems & Control Letters
7 Discrete and Continuous Dynamical Systems
6 Mathematical Methods in the Applied Sciences
5 Differential Equations and Dynamical Systems
5 Abstract and Applied Analysis
5 Dynamical Systems
5 Journal of Applied Mathematics and Computing
5 S\(\vec{\text{e}}\)MA Journal
4 Computers & Mathematics with Applications
4 Semigroup Forum
4 Ergodic Theory and Dynamical Systems
4 Acta Applicandae Mathematicae
4 Nonlinear Dynamics
4 Fractional Calculus & Applied Analysis
3 International Journal of Control
3 Mathematical Biosciences
3 Automatica
3 Proceedings of the American Mathematical Society
3 SIAM Journal on Control and Optimization
3 Topology and its Applications
3 Applied Mathematics Letters
3 MCSS. Mathematics of Control, Signals, and Systems
3 Numerical Algorithms
3 Mathematical Problems in Engineering
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Dynamical and Control Systems
3 Nonlinear Analysis. Real World Applications
3 Communications on Pure and Applied Analysis
3 SIAM Journal on Applied Dynamical Systems
3 Mediterranean Journal of Mathematics
3 Symmetry
3 Afrika Matematika
2 Journal of Fluid Mechanics
2 Journal of the Franklin Institute
2 Bulletin of Mathematical Biology
2 Annales Polonici Mathematici
2 Funkcialaj Ekvacioj. Serio Internacia
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Numerische Mathematik
2 Results in Mathematics
2 Bulletin of the Korean Mathematical Society
2 Statistics & Probability Letters
2 Japan Journal of Industrial and Applied Mathematics
2 Linear Algebra and its Applications
2 Journal of Nonlinear Science
2 Bulletin des Sciences Mathématiques
2 Integral Transforms and Special Functions
2 Mathematical Communications
2 Vietnam Journal of Mathematics
2 Communications in Contemporary Mathematics
2 Qualitative Theory of Dynamical Systems
2 Computational Methods and Function Theory
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Boundary Value Problems
2 Journal of Fixed Point Theory and Applications
2 International Journal of Biomathematics
2 Set-Valued and Variational Analysis
2 Axioms
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 International Journal of Systems Science
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Nonlinearity
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 The Annals of Probability
1 Calcolo
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 International Journal of Game Theory
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Note di Matematica
1 Acta Mathematica Hungarica
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
...and 67 more Serials
all top 5

Cited in 42 Fields

217 Ordinary differential equations (34-XX)
205 Dynamical systems and ergodic theory (37-XX)
57 Difference and functional equations (39-XX)
55 Numerical analysis (65-XX)
53 Partial differential equations (35-XX)
50 Systems theory; control (93-XX)
46 Operator theory (47-XX)
29 Biology and other natural sciences (92-XX)
27 Probability theory and stochastic processes (60-XX)
16 Fluid mechanics (76-XX)
13 Real functions (26-XX)
13 General topology (54-XX)
10 Measure and integration (28-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Integral equations (45-XX)
7 Functional analysis (46-XX)
7 Computer science (68-XX)
7 Mechanics of deformable solids (74-XX)
6 Combinatorics (05-XX)
6 Functions of a complex variable (30-XX)
6 Special functions (33-XX)
5 Mechanics of particles and systems (70-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Geophysics (86-XX)
3 General and overarching topics; collections (00-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Approximations and expansions (41-XX)
3 Abstract harmonic analysis (43-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Integral transforms, operational calculus (44-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Sequences, series, summability (40-XX)
1 Statistics (62-XX)

Citations by Year