Bernd Aulbach

1.2k total citations
45 papers, 631 citations indexed

About

Bernd Aulbach is a scholar working on Control and Systems Engineering, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Bernd Aulbach has authored 45 papers receiving a total of 631 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Control and Systems Engineering, 16 papers in Applied Mathematics and 15 papers in Geometry and Topology. Recurrent topics in Bernd Aulbach's work include Stability and Controllability of Differential Equations (17 papers), Nonlinear Differential Equations Analysis (14 papers) and Advanced Differential Equations and Dynamical Systems (13 papers). Bernd Aulbach is often cited by papers focused on Stability and Controllability of Differential Equations (17 papers), Nonlinear Differential Equations Analysis (14 papers) and Advanced Differential Equations and Dynamical Systems (13 papers). Bernd Aulbach collaborates with scholars based in Germany, United States and Vietnam. Bernd Aulbach's co-authors include Nguyễn Văn Minh, Stefan Siegmund, Thomas Wanner, Fritz Colonius, Barnabás M. Garay, П. П. Забрейко, Dietrich Flockerzi, Martin Rasmussen, Christian Pötzsche and H. W. Knobloch and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Journal of Differential Equations.

In The Last Decade

Bernd Aulbach

43 papers receiving 553 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bernd Aulbach Germany 14 316 215 171 137 136 45 631
S.N. Chow United States 10 245 0.8× 193 0.9× 207 1.2× 138 1.0× 150 1.1× 16 777
В. А. Плисс Russia 7 231 0.7× 166 0.8× 125 0.7× 79 0.6× 115 0.8× 22 457
Rafael Obaya Spain 15 340 1.1× 265 1.2× 272 1.6× 174 1.3× 137 1.0× 84 754
Pavol Brunovský Slovakia 13 464 1.5× 91 0.4× 133 0.8× 86 0.6× 147 1.1× 35 838
T. Yoshizawa Japan 4 350 1.1× 377 1.8× 103 0.6× 100 0.7× 100 0.7× 6 758
Nathaniel Chafee United States 8 189 0.6× 163 0.8× 103 0.6× 122 0.9× 54 0.4× 12 481
Waldyr M. Oliva Brazil 10 251 0.8× 93 0.4× 152 0.9× 111 0.8× 107 0.8× 45 489
Tassilo Küpper Germany 20 172 0.5× 266 1.2× 435 2.5× 124 0.9× 343 2.5× 56 984
Wiesław Krawcewicz Canada 13 69 0.2× 314 1.5× 189 1.1× 189 1.4× 236 1.7× 65 696
А. М. Самойленко Ukraine 10 90 0.3× 326 1.5× 243 1.4× 58 0.4× 98 0.7× 96 726

Countries citing papers authored by Bernd Aulbach

Since Specialization
Citations

This map shows the geographic impact of Bernd Aulbach's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bernd Aulbach with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bernd Aulbach more than expected).

Fields of papers citing papers by Bernd Aulbach

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernd Aulbach. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bernd Aulbach. The network helps show where Bernd Aulbach may publish in the future.

Co-authorship network of co-authors of Bernd Aulbach

This figure shows the co-authorship network connecting the top 25 collaborators of Bernd Aulbach. A scholar is included among the top collaborators of Bernd Aulbach based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bernd Aulbach. Bernd Aulbach is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Allen, Linda J. S., Bernd Aulbach, Saber Elaydi, & Robert J. Sacker. (2005). Difference Equations And Discrete Dynamical Systems: Proceedings of the 9th International Conference University of Southern California, Los Angeles, California, USA, 2-7 August 2004. Digital Commons - Trinity University (Trinity University). 2 indexed citations
2.
Aulbach, Bernd, et al.. (2004). An Elementary Proof for Hyperbolicity and Chaos of the Logistic Maps. The Journal of Difference Equations and Applications. 10(13-15). 1243–1250. 9 indexed citations
3.
Aulbach, Bernd & Christian Pötzsche. (2003). Invariant manifolds with asymptotic phase for nonautonomous difference equations. Computers & Mathematics with Applications. 45(6-9). 1385–1398.
4.
Aulbach, Bernd, Christian Pötzsche, & Stefan Siegmund. (2002). A Smoothness Theorem for Invariant Fiber Bundles. Journal of Dynamics and Differential Equations. 14(3). 519–547. 12 indexed citations
5.
Aulbach, Bernd & Christian Pötzsche. (2002). Reducibility of linear dynamic equations on measure chains. Journal of Computational and Applied Mathematics. 141(1-2). 101–115. 7 indexed citations
6.
Aulbach, Bernd, et al.. (2001). On three definitions of chaos. OPUS (Augsburg University). 28 indexed citations
7.
Aulbach, Bernd, et al.. (2001). Exponential forward splitting for noninvertible difference equations. Computers & Mathematics with Applications. 42(3-5). 743–754. 27 indexed citations
8.
Aulbach, Bernd, Nguyễn Văn Minh, & П. П. Забрейко. (1998). Structural stability of linear difference equations in Hilbert space. Computers & Mathematics with Applications. 36(10-12). 71–76. 2 indexed citations
9.
Aulbach, Bernd, et al.. (1995). Groups of Weighted Translation Operators in Lp and Linear Nonautonomous Differential Equations. Journal of Mathematical Analysis and Applications. 193(2). 622–631. 1 indexed citations
10.
Aulbach, Bernd & Barnabás M. Garay. (1994). Discretization of semilinear differential equations with an exponential dichotomy. Computers & Mathematics with Applications. 28(1-3). 23–35. 9 indexed citations
11.
Aulbach, Bernd, Nguyễn Văn Minh, & П. П. Забрейко. (1994). The Concept of Spectral Dichotomy for Linear Difference Equations. Journal of Mathematical Analysis and Applications. 185(2). 275–287. 27 indexed citations
12.
Aulbach, Bernd & Barnabás M. Garay. (1994). Partial linearization for noninvertible mappings. Zeitschrift für angewandte Mathematik und Physik. 45(4). 505–542. 7 indexed citations
13.
Aulbach, Bernd & Dietrich Flockerzi. (1989). The past in short hypercycles. Journal of Mathematical Biology. 27(2). 223–231. 12 indexed citations
14.
Aulbach, Bernd, et al.. (1986). Invariant manifolds and the concept of asymptotic phase. Časopis pro pěstování matematiky. 111(2). 156–176. 3 indexed citations
15.
Aulbach, Bernd. (1985). On linearly perturbed linear systems. Journal of Mathematical Analysis and Applications. 112(2). 317–327. 8 indexed citations
16.
Aulbach, Bernd & K. P. Hadeler. (1984). Convergence to equilibrium in the classical model of population genetics. Journal of Mathematical Analysis and Applications. 102(1). 220–232. 1 indexed citations
17.
Aulbach, Bernd. (1984). Iterates approaching hyperbolic manifolds of fixed points.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1984(350). 68–86. 2 indexed citations
18.
Aulbach, Bernd. (1984). Continuous and Discrete Dynamics near Manifolds of Equilibria. Lecture notes in mathematics. 104 indexed citations
19.
Aulbach, Bernd. (1982). Invariant manifolds with asymptotic phase. Nonlinear Analysis. 6(8). 817–827. 11 indexed citations
20.
Aulbach, Bernd. (1981). Behavior of solutions near manifolds of periodic solutions. Journal of Differential Equations. 39(3). 345–377. 13 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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