Leaderboards/Mathematical Dynamics and Fractals

Mathematical Dynamics and Fractals

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Heping Wen
University of Electronic Science and Technology of China
2
Binyan Yu
Nanjing University of Science and Technology
3
Unsub Zia
University of Ulster
4
Liang Qin
Obstetrics and Gynecology Hospital of Fudan University
5
Rim Achour
University of Monastir
6
Shenli Zhu
Central South University
7
Marwa Tarek Elkandoz
German University in Cairo
8
Wenjie Zhou
Lanzhou Jiaotong University
9
Lizong Li
Peking University
10
Jameel Arif
Quaid-i-Azam University

Rising Stars Papers

1
A novel chaotic map application in image encryption algorithm
Expert Systems with Applications|2024
110 cit.
2
Image privacy protection scheme based on high-quality reconstruction DCT compression and nonlinear dynamics
Expert Systems with Applications|2024
92 cit.
3
Cryptanalysis of an image encryption scheme using variant Hill cipher and chaos
Expert Systems with Applications|2024
61 cit.
4
Cryptanalyzing a bit-level image encryption algorithm based on chaotic maps
Engineering Science and Technology an International Journal|2024
46 cit.
5
A multifractal formalism for new general fractal measures
Chaos Solitons & Fractals|2024
43 cit.
6
General fractal dimensions of graphs of products and sums of continuous functions and their decompositions
Journal of Mathematical Analysis and Applications|2024
40 cit.
7
A self-reversible image encryption algorithm utilizing a novel chaotic map
Nonlinear Dynamics|2025
24 cit.
8
Some properties of new general fractal measures
Monatshefte für Mathematik|2024
22 cit.
9
New fractal dimensions of measures and decompositions of singularly continuous measures
Fuzzy Sets and Systems|2024
20 cit.
10
RESEARCH ON FRACTAL DIMENSIONS AND THE HÖLDER CONTINUITY OF FRACTAL FUNCTIONS UNDER OPERATIONS
Fractals|2024
20 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Kai Liu
Xi'an Jiaotong University
2
Bilel Selmi
University of Monastir
3
Hua Chen
Georgia Institute of Technology
4
Xingyuan Wang
Beijing University of Chemical Technology
5
Wafa’ Hamdan Alshoura
Abu Dhabi University
6
Bibhudendra Acharya
National Institute of Technology Raipur
7
Pengbo Liu
Dalian Maritime University
8
Krzysztof Gdawiec
Institute of Occupational Medicine and Environmental Health
9
Yixiao Qiao
South China Normal University
10
Anuj Mohamed
Mahatma Gandhi University

Emerging Leaders Papers

1
Mutil-medical image encryption by a new spatiotemporal chaos model and DNA new computing for information security
Expert Systems with Applications|2023
107 cit.
2
An efficient double-image encryption and hiding algorithm using a newly designed chaotic system and parallel compressive sensing
Information Sciences|2022
81 cit.
3
A new 2D-HELS hyperchaotic map and its application on image encryption using RNA operation and dynamic confusion
Chaos Solitons & Fractals|2024
74 cit.
4
A chaos-based block cipher based on an enhanced logistic map and simultaneous confusion-diffusion operations
Journal of King Saud University - Computer and Information Sciences|2022
71 cit.
5
Image Encryption via Complementary Embedding Algorithm and New Spatiotemporal Chaotic System
IEEE Transactions on Circuits and Systems for Video Technology|2022
69 cit.
6
Globally Coupled Private Image Encryption Algorithm Based on Infinite Interval Spatiotemporal Chaotic System
IEEE Transactions on Circuits and Systems I Regular Papers|2023
67 cit.
7
Visually meaningful image encryption scheme based on new-designed chaotic map and random scrambling diffusion strategy
Chaos Solitons & Fractals|2022
59 cit.
8
A New Image Encryption Algorithm Based on DNA State Machine for UAV Data Encryption
Drones|2023
52 cit.
9
A novel visually meaningful image encryption algorithm based on parallel compressive sensing and adaptive embedding
Expert Systems with Applications|2022
51 cit.
10
Color image encryption algorithm based on hyperchaotic system and improved quantum revolving gate
Multimedia Tools and Applications|2022
47 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
James A. Yorke
University of Maryland, College Park
2
Itamar Procaccia
Zhejiang International Studies University
3
Guanrong Chen
City University of Hong Kong
4
David Ruelle
Institut des Hautes Études Scientifiques
5
Mariusz Urbański
University of North Texas
6
Lai-Sang Young
Michigan State University
7
Benjamin Weiss
Hebrew University of Jerusalem
8
Xingyuan Wang
Beijing Institute of Technology
9
Jean‐Pierre Eckmann
University of Geneva
10
Marcelo Viana
Universitario Francisco de Asís

Current Senior Leaders Papers

1
Measuring the strangeness of strange attractors
Physica D Nonlinear Phenomena|1983
5.6k cit.
2
Controlling chaos
Physical Review Letters|1990
5.4k cit.
3
Ergodic theory of chaos and strange attractors
Reviews of Modern Physics|1985
4.9k cit.
4
Characterization of Strange Attractors
Physical Review Letters|1983
4.8k cit.
5
Recurrence Plots of Dynamical Systems
Europhysics Letters (EPL)|1987
3.3k cit.
6
YET ANOTHER CHAOTIC ATTRACTOR
International Journal of Bifurcation and Chaos|1999
2.8k cit.
7
An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination
IEEE Transactions on Industrial Informatics|2012
2.4k cit.
8
<i>An Introduction to Chaotic Dynamical Systems</i>
Physics Today|1987
2.4k cit.
9
A symmetric image encryption scheme based on 3D chaotic cat maps
Chaos Solitons & Fractals|2004
2.1k cit.
10
A NEW CHAOTIC ATTRACTOR COINED
International Journal of Bifurcation and Chaos|2002
1.8k cit.

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