Xiao-Biao Lin

1.5k total citations
47 papers, 1.1k citations indexed

About

Xiao-Biao Lin is a scholar working on Applied Mathematics, Statistical and Nonlinear Physics and Control and Systems Engineering. According to data from OpenAlex, Xiao-Biao Lin has authored 47 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Applied Mathematics, 16 papers in Statistical and Nonlinear Physics and 15 papers in Control and Systems Engineering. Recurrent topics in Xiao-Biao Lin's work include Stability and Controllability of Differential Equations (15 papers), Navier-Stokes equation solutions (11 papers) and Quantum chaos and dynamical systems (11 papers). Xiao-Biao Lin is often cited by papers focused on Stability and Controllability of Differential Equations (15 papers), Navier-Stokes equation solutions (11 papers) and Quantum chaos and dynamical systems (11 papers). Xiao-Biao Lin collaborates with scholars based in United States, China and Mexico. Xiao-Biao Lin's co-authors include Fuh‐Gwo Yuan, Shui-Nee Chow, Jack K. Hale, Geneviève Raugel, Kening Lu, Stephen Schecter, Kenneth J. Palmer, John Mallet‐Paret, Zhilin Li and Ming‐Chih Lai and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and AIAA Journal.

In The Last Decade

Xiao-Biao Lin

42 papers receiving 963 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Xiao-Biao Lin United States 16 313 298 282 229 210 47 1.1k
Guanwei Luo China 19 344 1.1× 396 1.3× 206 0.7× 244 1.1× 94 0.4× 60 983
Patrick J. Rabier United States 21 382 1.2× 218 0.7× 218 0.8× 62 0.3× 786 3.7× 98 1.5k
Michelle Schatzman France 23 546 1.7× 127 0.4× 248 0.9× 56 0.2× 854 4.1× 68 1.7k
Tassilo Küpper Germany 20 172 0.5× 435 1.5× 35 0.1× 124 0.5× 186 0.9× 56 984
Martine Marion France 18 520 1.7× 216 0.7× 103 0.4× 214 0.9× 501 2.4× 41 1.3k
А. Д. Мышкис Russia 12 238 0.8× 93 0.3× 72 0.3× 40 0.2× 241 1.1× 52 1.0k
V.M. Starzhinskii 3 177 0.6× 243 0.8× 50 0.2× 86 0.4× 106 0.5× 10 753
Bryan P. Rynne United Kingdom 20 130 0.4× 100 0.3× 131 0.5× 57 0.2× 321 1.5× 93 1.4k
Gianni Arioli Italy 18 133 0.4× 302 1.0× 22 0.1× 111 0.5× 331 1.6× 55 973
Xue Yang China 17 95 0.3× 176 0.6× 81 0.3× 56 0.2× 72 0.3× 90 782

Countries citing papers authored by Xiao-Biao Lin

Since Specialization
Citations

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

Fields of papers citing papers by Xiao-Biao Lin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xiao-Biao Lin. 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 Xiao-Biao Lin. The network helps show where Xiao-Biao Lin may publish in the future.

Co-authorship network of co-authors of Xiao-Biao Lin

This figure shows the co-authorship network connecting the top 25 collaborators of Xiao-Biao Lin. A scholar is included among the top collaborators of Xiao-Biao Lin 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 Xiao-Biao Lin. Xiao-Biao Lin 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.
Lin, Xiao-Biao, et al.. (2017). CODIAGONALIZATION OF MATRICES AND EXISTENCE OF MULTIPLE HOMOCLINIC SOLUTIONS. Journal of Applied Analysis & Computation. 7(1). 172–188. 1 indexed citations
2.
Lin, Xiao-Biao, et al.. (2017). Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits. Journal of Dynamics and Differential Equations. 31(3). 1373–1396. 9 indexed citations
3.
Lin, Xiao-Biao, et al.. (2015). Multiple transverse homoclinic solutions near a degenerate homoclinic orbit. Journal of Differential Equations. 259(1). 1–24. 3 indexed citations
4.
Lin, Xiao-Biao & Stephen Schecter. (2015). Stability of concatenated traveling waves: Alternate approaches. Journal of Differential Equations. 259(7). 3144–3177.
5.
Jiang, Ming, et al.. (2013). TRAVELING WAVE SOLUTIONS IN COUPLED CHUA'S CIRCUITS, PART I: PERIODIC SOLUTIONS. Journal of Applied Analysis & Computation. 3(3). 213–237. 4 indexed citations
6.
Lin, Xiao-Biao. (2013). Stability of standing waves for monostable reaction–convection equations in a large bounded domain with boundary conditions. Journal of Differential Equations. 255(1). 58–84. 3 indexed citations
7.
Lin, Xiao-Biao. (2009). Algebraic dichotomies with an application to the stability of Riemann solutions of conservation laws. Journal of Differential Equations. 247(11). 2924–2965. 6 indexed citations
8.
Lin, Xiao-Biao & Jibin Li. (2008). Travelling wave solutions for the Painleve-integrable coupled KdV equations. SHILAP Revista de lepidopterología. 5 indexed citations
9.
Lin, Xiao-Biao. (2005). L² semigroup and linear stability for Riemann solutions of conservation laws. Dynamics of Partial Differential Equations. 2(4). 301–333. 3 indexed citations
10.
Lai, Ming‐Chih, Zhilin Li, & Xiao-Biao Lin. (2005). Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain. Journal of Computational and Applied Mathematics. 191(1). 106–125. 14 indexed citations
11.
Lin, Xiao-Biao, et al.. (2002). Heteroclinic and Periodic Cycles in a Perturbed Convection Model. Journal of Differential Equations. 182(1). 219–265.
12.
Lin, Xiao-Biao. (2000). Generalized Rankine–Hugoniot Condition and Shock Solutions for Quasilinear Hyperbolic Systems. Journal of Differential Equations. 168(2). 321–354. 8 indexed citations
13.
Hale, Jack K. & Xiao-Biao Lin. (1999). Multiple Internal Layer Solutions Generated by Spatially Oscillatory Perturbations. Journal of Differential Equations. 154(2). 364–418. 10 indexed citations
14.
Lin, Xiao-Biao. (1996). Shadowing Matching Errors for Wave-Front-Like Solutions. Journal of Differential Equations. 129(2). 403–457. 6 indexed citations
15.
Chow, Shui-Nee, Xiao-Biao Lin, & Kening Lu. (1991). Smooth invariant foliations in infinite dimensional spaces. Journal of Differential Equations. 94(2). 266–291. 96 indexed citations
16.
Lin, Xiao-Biao. (1991). Existence theory for damped gravity waves in a closed rectangular basin. Archive for Rational Mechanics and Analysis. 114(3). 267–295.
17.
Lin, Xiao-Biao. (1990). Heteroclinic bifurcation and singularly perturbed boundary value problems. Journal of Differential Equations. 84(2). 319–382. 28 indexed citations
18.
Chow, Shui-Nee, Xiao-Biao Lin, & John Mallet‐Paret. (1989). Transition layers for singularly perturbed delay differential equations with monotone nonlinearities. Journal of Dynamics and Differential Equations. 1(1). 3–43. 31 indexed citations
19.
Lin, Xiao-Biao, et al.. (1988). A multiplicity theorem for hyperbolic systems. Journal of Differential Equations. 76(2). 339–352. 9 indexed citations
20.
Lin, Xiao-Biao. (1986). Exponential dichotomies and homoclinic orbits in functional differential equations. Journal of Differential Equations. 63(2). 227–254. 71 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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