Peter Giesl

1.4k total citations
95 papers, 849 citations indexed

About

Peter Giesl is a scholar working on Control and Systems Engineering, Statistical and Nonlinear Physics and Numerical Analysis. According to data from OpenAlex, Peter Giesl has authored 95 papers receiving a total of 849 indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Control and Systems Engineering, 40 papers in Statistical and Nonlinear Physics and 21 papers in Numerical Analysis. Recurrent topics in Peter Giesl's work include Control and Stability of Dynamical Systems (37 papers), Quantum chaos and dynamical systems (24 papers) and Advanced Control Systems Optimization (19 papers). Peter Giesl is often cited by papers focused on Control and Stability of Dynamical Systems (37 papers), Quantum chaos and dynamical systems (24 papers) and Advanced Control Systems Optimization (19 papers). Peter Giesl collaborates with scholars based in United Kingdom, Iceland and Germany. Peter Giesl's co-authors include Sigurður Hafstein, Holger Wendland, Martin Rasmussen, Heiko Wagner, Christopher M. Kellett, Enrico Scalas, Jürgen Scheurle, Christoph Kawan, L. Rikus and Reinhard Blickhan and has published in prestigious journals such as Mathematics of Computation, Journal of Theoretical Biology and SIAM Journal on Numerical Analysis.

In The Last Decade

Peter Giesl

80 papers receiving 754 citations

Peers

Peter Giesl

CSE

SNP

CTM

Sigurður Hafstein Iceland

Fritz Colonius Germany

Yuri L. Sachkov Russia

Anthony M. Bloch United States

Gerald Moore United Kingdom

N. Rouche Belgium

Michael E. Henderson United States

C. M. Andersen United States

M. Laloy Belgium

Birgit Jacob Germany

Sigurður Hafstein Iceland

Peter Giesl

578 ×1.1

CSE

221 ×0.8

SNP

148 ×0.9

124 ×1.1

110 ×1.0

CTM

Citations per year, relative to Peter Giesl Peter Giesl (= 1×) peers Sigurður Hafstein

Countries citing papers authored by Peter Giesl

Since Specialization

Citations

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

Fields of papers citing papers by Peter Giesl

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Giesl

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Giesl. A scholar is included among the top collaborators of Peter Giesl 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 Giesl. Peter Giesl 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

Giesl, Peter, et al.. (2025). Construction of a contraction metric for non-smooth time-periodic systems. Discrete and Continuous Dynamical Systems - B. 30(6). 1903–1929. 1 indexed citations

Giesl, Peter & Sigurður Hafstein. (2023). Triangulations and Error Estimates for Interpolating Lyapunov Functions. SN Computer Science. 4(4). 2 indexed citations

Giesl, Peter, et al.. (2023). Contraction Metrics by Numerical Integration and Quadrature: Uniform Error Estimate. BOA (University of Milano-Bicocca). 196–205. 1 indexed citations

Giesl, Peter, et al.. (2023). Contraction metric computation using numerical Integration and quadrature. Discrete and Continuous Dynamical Systems - B. 29(6). 2610–2632.

Giesl, Peter, et al.. (2023). Subgradient algorithm for computing contraction metrics for equilibria. Sussex Research Online (University of Sussex). 10(2). 281–303.

Giesl, Peter, et al.. (2022). Common Lyapunov Functions for Switched Linear Systems: Linear Programming-Based Approach. IEEE Control Systems Letters. 7. 901–906. 9 indexed citations

Giesl, Peter, et al.. (2022). Existence of complete Lyapunov functions with prescribed orbital derivative. Discrete and Continuous Dynamical Systems - B. 27(11). 6927–6927. 1 indexed citations

Giesl, Peter. (2020). On a matrix-valued PDE characterizing a contraction metric for a periodic orbit. Sussex Research Online (University of Sussex). 2 indexed citations

Giesl, Peter. (2014). Converse theorems on contraction metrics for an equilibrium. Journal of Mathematical Analysis and Applications. 424(2). 1380–1403. 13 indexed citations

10.

Giesl, Peter & Sigurður Hafstein. (2014). Implementation of a fan-like triangulation for the CPA method to compute Lyapunov functions. 2989–2994. 6 indexed citations

11.

Giesl, Peter & Sigurður Hafstein. (2013). Revised CPA method to compute Lyapunov functions for nonlinear systems. Journal of Mathematical Analysis and Applications. 410(1). 292–306. 45 indexed citations

12.

Giesl, Peter & Martin Rasmussen. (2012). Areas of attraction for nonautonomous differential equations on finite time intervals. Journal of Mathematical Analysis and Applications. 390(1). 27–46. 17 indexed citations

13.

Giesl, Peter & Sigurður Hafstein. (2011). Construction of Lyapunov functions for nonlinear planar systems by linear programming. Journal of Mathematical Analysis and Applications. 388(1). 463–479. 17 indexed citations

14.

Giesl, Peter. (2009). On the determination of the basin of attraction of periodic orbits in three- and higher-dimensional systems. Journal of Mathematical Analysis and Applications. 354(2). 606–618. 8 indexed citations

15.

Giesl, Peter. (2008). Construction of a local and global Lyapunov function using radial basis functions. IMA Journal of Applied Mathematics. 73(5). 782–802. 23 indexed citations

16.

Giesl, Peter. (2008). Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions. Journal of Approximation Theory. 153(2). 184–211. 10 indexed citations

17.

Giesl, Peter. (2007). On the determination of the basin of attraction of a periodic orbit in two-dimensional systems. Journal of Mathematical Analysis and Applications. 335(1). 461–479. 6 indexed citations

18.

Giesl, Peter. (2004). On the Basin of Attraction of Limit Cycles in Periodic Differential Equations. Zeitschrift für Analysis und ihre Anwendungen. 23(3). 547–576. 7 indexed citations

19.

Giesl, Peter. (2003). Unbounded basins of attraction of limit cycles.. Figshare. 72(1). 81–110. 6 indexed citations

20.

Rikus, L., et al.. (2002). UV Index and UV dose distributions for Australia (1997-2001). 7 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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