Peter E. Kloeden

9.9k total citations · 2 hit papers
302 papers, 6.5k citations indexed

About

Peter E. Kloeden is a scholar working on Control and Systems Engineering, Computer Networks and Communications and Computational Theory and Mathematics. According to data from OpenAlex, Peter E. Kloeden has authored 302 papers receiving a total of 6.5k indexed citations (citations by other indexed papers that have themselves been cited), including 153 papers in Control and Systems Engineering, 99 papers in Computer Networks and Communications and 90 papers in Computational Theory and Mathematics. Recurrent topics in Peter E. Kloeden's work include Stability and Controllability of Differential Equations (148 papers), Nonlinear Dynamics and Pattern Formation (87 papers) and Advanced Mathematical Modeling in Engineering (72 papers). Peter E. Kloeden is often cited by papers focused on Stability and Controllability of Differential Equations (148 papers), Nonlinear Dynamics and Pattern Formation (87 papers) and Advanced Mathematical Modeling in Engineering (72 papers). Peter E. Kloeden collaborates with scholars based in Germany, Australia and China. Peter E. Kloeden's co-authors include Phil Diamond, Tomás Caraballo, Eckhard Platen, Xiaoying Han, Björn Schmalfuß, José Real, Thomas Lorenz, Henri Schurz, José A. Langa and Pedro Marín-Rubio and has published in prestigious journals such as Nature, SHILAP Revista de lepidopterología and Journal of the American Statistical Association.

In The Last Decade

Peter E. Kloeden

285 papers receiving 5.9k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Metric Spaces of Fuzzy Sets: Theory and Applications

1994 616 citations Peter E. Kloeden et al. profile →
Metric spaces of fuzzy sets

1990 555 citations Peter E. Kloeden et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Peter E. Kloeden	3.0k	2.2k	1.7k	1.5k	1.3k	302	6.5k
Paul Dupuis	760 0.2×	827 0.4×	436 0.3×	814 0.6×	353 0.3×	113	5.3k
Steve Smale	631 0.2×	2.0k 0.9×	799 0.5×	557 0.4×	1.3k 1.0×	54	7.3k
Jerzy Zabczyk	3.3k 1.1×	2.6k 1.2×	2.5k 1.5×	309 0.2×	368 0.3×	92	7.7k
Adrian S. Lewis	899 0.3×	2.7k 1.2×	750 0.4×	351 0.2×	325 0.2×	132	6.0k
J. L. Doob	650 0.2×	1.2k 0.5×	1.5k 0.9×	1.9k 1.3×	561 0.4×	48	9.8k
Amir Dembo	365 0.1×	815 0.4×	752 0.4×	2.1k 1.4×	1.3k 1.0×	136	8.4k
Ludwig Arnold	1.8k 0.6×	1.0k 0.5×	603 0.4×	290 0.2×	1.1k 0.8×	67	5.4k
G. A. Garreau	748 0.2×	1.1k 0.5×	2.3k 1.4×	529 0.4×	294 0.2×	5	5.9k
Sergey Fomin	574 0.2×	1.7k 0.7×	1.1k 0.7×	589 0.4×	328 0.2×	73	9.7k
Ofer Zeitouni	377 0.1×	702 0.3×	784 0.5×	2.9k 2.0×	1.2k 0.9×	179	8.5k

Countries citing papers authored by Peter E. Kloeden

Since Specialization

Citations

This map shows the geographic impact of Peter E. Kloeden'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 Peter E. Kloeden with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter E. Kloeden more than expected).

Fields of papers citing papers by Peter E. Kloeden

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter E. Kloeden. 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 Peter E. Kloeden. The network helps show where Peter E. Kloeden may publish in the future.

Co-authorship network of co-authors of Peter E. Kloeden

This figure shows the co-authorship network connecting the top 25 collaborators of Peter E. Kloeden. A scholar is included among the top collaborators of Peter E. Kloeden 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 Peter E. Kloeden. Peter E. Kloeden is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Kloeden, Peter E. & Ricardo Rosa. (2025). Strong order-one convergence of the Euler method for random ordinary differential equations driven by semi-martingale noises. ESAIM. Mathematical modelling and numerical analysis. 59(6). 3041–3067. 1 indexed citations

Han, Xiaoying & Peter E. Kloeden. (2024). Dynamics of a Random Hopfield Neural Lattice Model with Adaptive Synapses and Delayed Hebbian Learning. Ukrainian Mathematical Journal. 75(12). 1883–1899.

Meng, Qingyan, Yejuan Wang, Peter E. Kloeden, & Xiaoying Han. (2024). Fokker–Planck equation and Feynman–Kac formula for multidimensional stochastic dynamical systems with Lévy noises and time-dependent coefficients. Mathematics and Computers in Simulation. 229. 574–593.

Cui, Hongyong & Peter E. Kloeden. (2024). Skew-product attractors of non-autonomous Caputo fractional differential equations. Chaos An Interdisciplinary Journal of Nonlinear Science. 34(8).

Meng, Qingyan, Yejuan Wang, Peter E. Kloeden, & Xiaoying Han. (2024). Existence and uniqueness of solutions for forward and backward nonlocal Fokker-Planck equations with time-dependent coefficients. Journal of Differential Equations. 403. 1–28.

Sun, Wenlong, Xiaoying Han, & Peter E. Kloeden. (2023). Approximation of the Heaviside function by sigmoidal functions in reaction–diffusion equations. Communications in Nonlinear Science and Numerical Simulation. 128. 107656–107656. 1 indexed citations

Wang, Yejuan, et al.. (2023). Mean-square stability analysis of stochastic delay evolution equations driven by fractional Brownian motion with Hurst index $ H\in(0,1) $. Discrete and Continuous Dynamical Systems - S. 17(3). 1073–1100. 2 indexed citations

Meng, Qingyan, Yejuan Wang, & Peter E. Kloeden. (2023). The dynamical behavior of a class of stochastic vegetation models. Mathematics and Computers in Simulation. 211. 341–367. 2 indexed citations

Han, Xiaoying & Peter E. Kloeden. (2022). Dissipative Lattice Dynamical Systems. 9 indexed citations

10.

Wang, Yejuan, et al.. (2021). Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays. Journal of Dynamics and Differential Equations. 35(1). 303–327. 4 indexed citations

11.

Doan, Thai Son & Peter E. Kloeden. (2021). Semi-Dynamical Systems Generated by Autonomous Caputo Fractional Differential Equations. Vietnam Journal of Mathematics. 49(4). 1305–1315. 9 indexed citations

12.

Kloeden, Peter E., et al.. (2020). Attractors with higher-order regularity of stochastic reaction–diffusion equations on time-varying domains. Stochastics and Dynamics. 20(2). 2050041–2050041. 1 indexed citations

13.

Wang, Yejuan, et al.. (2020). Random recurrent neural networks with delays. Journal of Differential Equations. 269(10). 8597–8639. 29 indexed citations

14.

Cui, Hongyong & Peter E. Kloeden. (2018). Invariant forward attractors of non-autonomous random dynamical systems. Journal of Differential Equations. 265(12). 6166–6186. 20 indexed citations

15.

Caraballo, Tomás, et al.. (2017). Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory. Revista Matemática Complutense. 30(3). 687–717. 2 indexed citations

16.

Flandoli, Franco, Peter E. Kloeden, & Andrew M. Stuart. (2009). Infinite Dimensional Random Dynamical Systems and Their Applications. Oberwolfach Reports. 5(4). 2815–2874. 1 indexed citations

17.

Kloeden, Peter E. & Zhong Li. (2006). Li–Yorke chaos in higher dimensions: a review. The Journal of Difference Equations and Applications. 12(3-4). 247–269. 24 indexed citations

18.

Kloeden, Peter E.. (2000). A Lyapunov function for pullback attractors of nonautonomous differential equations. SHILAP Revista de lepidopterología. 6 indexed citations

19.

Gardner, B P, J Giles, B. Catharine Craven, et al.. (1987). BAZ volume 36 issue 3 Cover and Front matter. Bulletin of the Australian Mathematical Society. 36(3). f1–f5. 1 indexed citations

20.

Kloeden, Peter E. & Rebecca Wells. (1983). An explicit example of Hopf bifurcation in fluid mechanics. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 390(1799). 293–320. 24 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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