World's Best Scientists 2026 revealed!
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Xinzhi Liu
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Mathematics
Canada
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 68 319 266 11 9 452 15199
Electronics and Electrical Engineering 62 1481 1417 77 71 390 12261

Xinzhi Liu publications per year

The chart shows the history of publications by Xinzhi Liu between 1988 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Xinzhi Liu published across 38 years, from 1988 to 2025, averaging 15.1 papers a year. Output peaked at 45 publications in 2019. 65 of the 574 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 1988 to 2025. Vertical axis: number of publications, 0 to 45. Peak 45 publications in 2019. 1988: 1 publication 1989: 10 publications 1990: 5 publications 1991: 3 publications 1992: 5 publications 1993: 5 publications 1994: 5 publications 1995: 6 publications 1996: 7 publications 1997: 4 publications 1998: 7 publications 1999: 7 publications 2000: 3 publications 2001: 8 publications 2002: 6 publications 2003: 7 publications 2004: 5 publications 2005: 14 publications 2006: 10 publications 2007: 16 publications 2008: 22 publications 2009: 12 publications 2010: 17 publications 2011: 24 publications 2012: 13 publications 2013: 14 publications 2014: 10 publications 2015: 16 publications 2016: 26 publications 2017: 38 publications 2018: 26 publications 2019: 45 publications 2020: 29 publications 2021: 38 publications 2022: 21 publications 2023: 24 publications 2024: 24 publications 2025: 41 publications
1988 2025

574 publications in total across all disciplines

View publications per year as a table
Xinzhi Liu: publications per year, 1988 to 2025
Year Publications
1988 1
1989 10
1990 5
1991 3
1992 5
1993 5
1994 5
1995 6
1996 7
1997 4
1998 7
1999 7
2000 3
2001 8
2002 6
2003 7
2004 5
2005 14
2006 10
2007 16
2008 22
2009 12
2010 17
2011 24
2012 13
2013 14
2014 10
2015 16
2016 26
2017 38
2018 26
2019 45
2020 29
2021 38
2022 21
2023 24
2024 24
2025 41
Total 574
Download as CSV

Xinzhi Liu publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Xinzhi Liu sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 452–456 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 452 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4 452
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Xinzhi Liu D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Xinzhi Liu sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 68 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 68 D-Index — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25 68
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Research.com Recognitions

  • 2026 - Research.com Mathematics in Canada Leader Award
  • 2025 - Research.com Mathematics in Canada Leader Award

Overview

Xinzhi Liu is affiliated with the University of Waterloo in Canada. Their research covers multiple fields, primarily in Computer Science, Engineering, and Medicine. The scientist has contributed substantially to subfields such as Computer Networks and Communications, Control and Systems Engineering, Oncology, Statistical and Nonlinear Physics, and Materials Chemistry.

The research topics frequently addressed by Liu include Neural Networks Stability and Synchronization, Distributed Control Multi-Agent Systems, Nonlinear Dynamics and Pattern Formation, Stability and Control of Uncertain Systems, Mathematical and Theoretical Epidemiology and Ecology Models, Stability and Controllability of Differential Equations, and Colorectal Cancer Surgical Treatments.

Liu has published a number of recent papers, including:

  • Secure consensus of multi-agent systems with redundant signal and communication interference via distributed dynamic event-triggered control (2020, ISA Transactions)
  • IGAGCN: Information geometry and attention-based spatiotemporal graph convolutional networks for traffic flow prediction (2021, Neural Networks)
  • Exponential Bipartite Synchronization of Fractional-Order Multilayer Signed Networks via Hybrid Impulsive Control (2022, IEEE Transactions on Cybernetics)
  • Synthesis and characterization of rice husk-based magnetic porous carbon by pyrolysis of pretreated rice husk with FeCl3 and ZnCl2 (2020, Journal of Analytical and Applied Pyrolysis)
  • Catalytic co-pyrolysis of food waste digestate and corn husk with CaO catalyst for upgrading bio-oil (2022, Renewable Energy)

The scientist has frequently published in the following venues:

  • Journal of the Franklin Institute
  • The Cambridge Structural Database
  • Neural Networks
  • Communications in Nonlinear Science and Numerical Simulation
  • SSRN Electronic Journal

Frequent collaborators include:

  • Kevin E. M. Church
  • Shouming Zhong
  • Rongpei Zhou
  • Shuping Zhang
  • Aiwen Wu

Liu has also contributed to book publications, notably with Springer Nature, publishing "Bifurcation Theory of Impulsive Dynamical Systems" in 2021.

Best Publications

  • Nonlinear Integral Equations in Abstract Spaces

    Dajun Guo;V. Lakshmikantham;Xinzhi Liu

  • Stability of a class of linear switching systems with time delay

    Sehjeong Kim;S.A. Campbell;Xinzhi Liu

  • Input-to-state stability of impulsive and switching hybrid systems with time-delay

    Jun Liu;Xinzhi Liu;Wei-Chau Xie

  • Stability Analysis in Terms of Two Measures

    V. Lakshmikantham;Xinzhi Liu

  • Robust impulsive synchronization of uncertain dynamical networks

    Bin Liu;Xinzhi Liu;Guanrong Chen;Huayou Wang

  • Uniform asymptotic stability of impulsive delay differential equations

    Xinzhi Liu;G. Ballinger

  • Comparison principles for impulsive parabolic equations with applications to models of single species growth

    L. H. Erbe;H. I. Freedman;X. Z. Liu;J. H. Wu

  • Non-fragile sampled-data robust synchronization of uncertain delayed chaotic Lurie systems with randomly occurring controller gain fluctuation.

    Kaibo Shi;Yuanyan Tang;Xinzhi Liu;Shouming Zhong

  • Stability results for impulsive differential systems with applications to population growth models

    Xinzhi Liu

  • Permanence of population growth models with impulsive effects

    G. Ballinger;X. Liu

  • Synchronization of linear dynamical networks on time scales

    Xinzhi Liu;Kexue Zhang

  • Boundedness for impulsive delay differential equations and applications to population growth models

    Xinzhi Liu;George Ballinger

  • Existence and continuability of solutions for differential equations with delays and state-dependent impulses

    Xinzhi Liu;George Ballinger

  • Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks

    Diyi Chen;Runfan Zhang;Xinzhi Liu;Xiaoyi Ma

  • Enhancing fuel cell durability for fuel cell plug-in hybrid electric vehicles through strategic power management

    Hongtao Zhang;Xianguo Li;Xinzhi Liu;Jinyue Yan;Jinyue Yan

  • Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft

    Xinzhi Liu;Allan R. Willms

  • Application of impulsive synchronization to communication security

    A. Khadra;Xinzhi Liu;Xuemin Shen

  • Existence, uniqueness and boundedness results for impulsive delay differential equations

    Gcorge Ballinger;Xinzhi Liu

  • Impulsively synchronizing chaotic systems with delay and applications to secure communication

    A. Khadra;X. Z. Liu;X. Shen

  • Analyzing the Robustness of Impulsive Synchronization Coupled by Linear Delayed Impulses

    A. Khadra;X.Z. Liu;Xuemin Shen

  • Global asymptotic stability of high-order Hopfield type neural networks with time delays

    Bingji Xu;Xinzhi Liu;Xiaoxin Liao

  • Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays

    Xinzhi Liu;Kok Lay Teo;Bingji Xu

  • Synchronization of chaotic systems with delay using intermittent linear state feedback.

    Tingwen Huang;Chuandong Li;Xinzhi Liu

Frequent Co-Authors

Shouming Zhong
Shouming Zhong University of Electronic Science and Technology of China
Xuemin Shen
Xuemin Shen University of Waterloo
Kaibo Shi
Kaibo Shi Chengdu University
Kok Lay Teo
Kok Lay Teo Sunway University
V. Lakshmikantham
V. Lakshmikantham Florida Institute of Technology
Jun Cheng
Jun Cheng Guangxi Normal University
Lin Cai
Lin Cai Illinois Institute of Technology
Guanrong Chen
Guanrong Chen City University of Hong Kong
Jinyue Yan
Jinyue Yan Mälardalen University
Yuan Yan Tang
Yuan Yan Tang University of Macau

External Links

Personal website of Xinzhi Liu Google Scholar page

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Best Scientists Citing Xinzhi Liu

Jinde Cao

Jinde Cao

Southeast University

Publications: 129

Shouming Zhong

Shouming Zhong

University of Electronic Science and Technology of China

Publications: 120

Chuandong Li

Chuandong Li

Southwest University

Publications: 63

Tingwen Huang

Tingwen Huang

Shenzhen Institutes of Advanced Technology

Publications: 61

Lishan Liu

Lishan Liu

Curtin University

Publications: 47

Xiaodi Li

Xiaodi Li

Shandong Normal University

Publications: 47

Lansun Chen

Lansun Chen

Academy of Mathematics and Systems Science

Publications: 46

Ju H. Park

Ju H. Park

Yeungnam University

Publications: 46

Ravi P. Agarwal

Ravi P. Agarwal

Florida Institute of Technology

Publications: 40

Peng Shi

Peng Shi

University of Adelaide

Publications: 40

Kaibo Shi

Kaibo Shi

Chengdu University

Publications: 36

Rathinasamy Sakthivel

Rathinasamy Sakthivel

Bharathiar University

Publications: 33

Mouffak Benchohra

Mouffak Benchohra

Université Djillali Liabes

Publications: 33

Zhi-Hong Guan

Zhi-Hong Guan

Huazhong University of Science and Technology

Publications: 32

Wu-Hua Chen

Wu-Hua Chen

Guangxi University

Publications: 31

Haijun Jiang

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Publications: 31

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