T.D. Frank

4.4k total citations
180 papers, 3.2k citations indexed

About

T.D. Frank is a scholar working on Statistical and Nonlinear Physics, Cognitive Neuroscience and Computer Networks and Communications. According to data from OpenAlex, T.D. Frank has authored 180 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 101 papers in Statistical and Nonlinear Physics, 48 papers in Cognitive Neuroscience and 43 papers in Computer Networks and Communications. Recurrent topics in T.D. Frank's work include Advanced Thermodynamics and Statistical Mechanics (55 papers), stochastic dynamics and bifurcation (48 papers) and Statistical Mechanics and Entropy (46 papers). T.D. Frank is often cited by papers focused on Advanced Thermodynamics and Statistical Mechanics (55 papers), stochastic dynamics and bifurcation (48 papers) and Statistical Mechanics and Entropy (46 papers). T.D. Frank collaborates with scholars based in United States, Germany and Netherlands. T.D. Frank's co-authors include Andreas Daffertshofer, Peter J. Beek, R. Friedrich, M. T. Turvey, Michael J. Richardson, Stacy M. Lopresti‐Goodman, Hermann Haken, C. E. Peper, H. U. Bödeker and A. Plastino and has published in prestigious journals such as SHILAP Revista de lepidopterología, PLoS ONE and Psychological Review.

In The Last Decade

T.D. Frank

174 papers receiving 3.1k citations

Author Peers

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

Author Last Decade Papers Cites
T.D. Frank 1.9k 728 637 552 412 180 3.2k
R. Friedrich 1.4k 0.7× 444 0.6× 695 1.1× 562 1.0× 388 0.9× 152 3.5k
Zoltán Toroczkai 1.9k 1.0× 1.4k 1.9× 733 1.2× 279 0.5× 727 1.8× 96 5.7k
Govindan Rangarajan 676 0.4× 953 1.3× 369 0.6× 376 0.7× 121 0.3× 82 2.7k
Miguel A. Muñoz 2.3k 1.2× 1.2k 1.6× 799 1.3× 506 0.9× 90 0.2× 160 5.5k
Miguel Fuentes 861 0.5× 175 0.2× 353 0.6× 380 0.7× 126 0.3× 86 2.1k
Joseph T. Lizier 924 0.5× 1.8k 2.5× 251 0.4× 422 0.8× 57 0.1× 90 3.8k
John Milton 1.4k 0.8× 2.4k 3.3× 1.1k 1.7× 245 0.4× 82 0.2× 156 5.4k
Otto E. Rössler 4.7k 2.5× 574 0.8× 3.0k 4.7× 812 1.5× 186 0.5× 162 6.3k
Damián H. Zanette 2.5k 1.3× 295 0.4× 1.1k 1.8× 461 0.8× 389 0.9× 164 4.5k
Erik M. Bollt 2.0k 1.1× 327 0.4× 1.2k 1.9× 251 0.5× 58 0.1× 165 3.8k

Countries citing papers authored by T.D. Frank

Since Specialization
Citations

This map shows the geographic impact of T.D. Frank'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 T.D. Frank with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites T.D. Frank more than expected).

Fields of papers citing papers by T.D. Frank

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by T.D. Frank. 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 T.D. Frank. The network helps show where T.D. Frank may publish in the future.

Co-authorship network of co-authors of T.D. Frank

This figure shows the co-authorship network connecting the top 25 collaborators of T.D. Frank. A scholar is included among the top collaborators of T.D. Frank 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 T.D. Frank. T.D. Frank 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.
Frank, T.D.. (2024). AMPLITUDE EQUATIONS AND ORDER PARAMETERS OF HUMAN SARS-COV-2 INFECTIONS AND IMMUNE REACTIONS: A MODEL-BASED APPROACH. Advances in Complex Systems. 27(01n02). 1 indexed citations
2.
Chiangga, Surasak, et al.. (2024). Perturbation theoretical approach to determine optomechanical entanglement in mirror-field systems. Europhysics Letters (EPL). 146(6). 65001–65001.
3.
Frank, T.D.. (2022). SARS-coronavirus-2 infections: biological instabilities characterized by order parameters. Physical Biology. 19(3). 36001–36001. 2 indexed citations
4.
Frank, T.D.. (2022). Eigenvalue analysis of SARS-CoV-2 viral load data: illustration for eight COVID-19 patients. International Journal of Data Science and Analytics. 15(3). 281–290. 3 indexed citations
5.
Frank, T.D., et al.. (2022). Characterizing stages of COVID-19 epidemics: a nonlinear physics perspective based on amplitude equations. The European Physical Journal Special Topics. 231(18-20). 3403–3418. 3 indexed citations
6.
Frank, T.D.. (2021). SARS-Coronavirus-2 Nonlinear Dynamics in Patients: Three-Dimensional State and Amplitude Space Descriptions. Journal of the Physical Society of Japan. 90(7). 73802–73802. 3 indexed citations
7.
Frank, T.D. & Surasak Chiangga. (2021). SEIR order parameters and eigenvectors of the three stages of completed COVID-19 epidemics: with an illustration for Thailand January to May 2020. Physical Biology. 18(4). 46002–46002. 11 indexed citations
8.
Frank, T.D.. (2021). Polyrhythmic multifrequency synchronization in coupled oscillators with exactly solvable attractors. International Journal of Modern Physics B. 35(3). 2150047–2150047.
9.
10.
Frank, T.D.. (2020). SIMPLICITY FROM COMPLEXITY: ON THE SIMPLE AMPLITUDE DYNAMICS UNDERLYING COVID-19 OUTBREAKS IN CHINA. Advances in Complex Systems. 23(8). 2050022–2050022. 4 indexed citations
11.
12.
Frank, T.D., et al.. (2020). Amplitude Equations and Bifurcation Diagrams for Multifrequency Synchronization of Canonical-Dissipative Oscillators. International Journal of Bifurcation and Chaos. 30(7). 2050101–2050101. 1 indexed citations
13.
Frank, T.D.. (2020). COVID-19 ORDER PARAMETERS AND ORDER PARAMETER TIME CONSTANTS OF ITALY AND CHINA: A MODELING APPROACH BASED ON SYNERGETICS. Journal of Biological Systems. 28(3). 589–608. 13 indexed citations
14.
Cox, Ralf F. A., Ruud J. R. Den Hartigh, Michael J. Richardson, Chen Yu, & T.D. Frank. (2019). Complex Dynamical Systems in Human Development. Complexity. 2019(1). 3 indexed citations
15.
Dotov, Dobromir, M. T. Turvey, & T.D. Frank. (2019). Embodied gestalts: Unstable visual phenomena become stable when they are stimuli for competitive action selection. Attention Perception & Psychophysics. 81(7). 2330–2342. 5 indexed citations
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Frank, T.D.. (2013). Strongly Nonlinear Stochastic Processes in Physics and the Life Sciences. 2013. 1–28. 9 indexed citations
18.
19.
Frank, T.D.. (2011). Rate of Entropy Production as a Physical Selection Principle for Mode-Mode Transitions in Non-Equilibrium Systems: With an Application to a Non-Algorithmic Dynamic Message Buffer. Arrow@dit (Dublin Institute of Technology). 54(1). 58–59. 5 indexed citations
20.
Frank, T.D., Markus Sondermann, T. Ackemann, & R. Friedrich. (2005). Parametric data analysis of bistable stochastic systems. Strathprints: The University of Strathclyde institutional repository (University of Strathclyde). 2 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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