Brian Hassard

3.4k total citations · 1 hit paper
24 papers, 2.6k citations indexed

About

Brian Hassard is a scholar working on Computer Networks and Communications, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Brian Hassard has authored 24 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Computer Networks and Communications, 10 papers in Statistical and Nonlinear Physics and 5 papers in Geometry and Topology. Recurrent topics in Brian Hassard's work include Nonlinear Dynamics and Pattern Formation (10 papers), stochastic dynamics and bifurcation (5 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Brian Hassard is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (10 papers), stochastic dynamics and bifurcation (5 papers) and Advanced Differential Equations and Dynamical Systems (5 papers). Brian Hassard collaborates with scholars based in United States, Egypt and Taiwan. Brian Hassard's co-authors include Nicholas D. Kazarinoff, S. P. Hastings, J. M. Greenberg, Jonathan Bell, William C. Troy, Ibrahim Elhenawy, B. Gebhart, Jyh-Horng Jeng, G. S. S. Ludford and Joseph C. Mollendorf and has published in prestigious journals such as Journal of Fluid Mechanics, Mathematics of Computation and Journal of Theoretical Biology.

In The Last Decade

Brian Hassard

24 papers receiving 2.5k citations

Hit Papers

Theory and applications of Hopf bifurcation 1981 2026 1996 2011 1981 500 1000 1.5k 2.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Theory and applications of Hopf bifurcation
    1981 2.1k citations Brian Hassard, Nicholas D. Kazarinoff et al. Cambridge University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Brian Hassard United States 11 1.2k 1.1k 871 567 371 24 2.6k
Nicholas D. Kazarinoff United States 16 1.1k 0.9× 1.2k 1.1× 712 0.8× 648 1.1× 404 1.1× 77 2.9k
L. M. Perko United States 16 389 0.3× 892 0.8× 759 0.9× 591 1.0× 381 1.0× 44 2.9k
Teresa Faria Portugal 20 952 0.8× 1.2k 1.1× 505 0.6× 495 0.9× 445 1.2× 55 2.1k
Konstantin Mischaikow United States 38 612 0.5× 1.1k 1.0× 1.0k 1.2× 765 1.3× 570 1.5× 138 4.9k
Jack Carr United Kingdom 13 503 0.4× 649 0.6× 530 0.6× 266 0.5× 358 1.0× 19 2.3k
Neil Fenichel Canada 8 1.2k 1.0× 493 0.5× 1.9k 2.2× 219 0.4× 148 0.4× 11 3.1k
D.S. Mazel United States 7 917 0.8× 425 0.4× 1.4k 1.6× 235 0.4× 179 0.5× 20 3.1k
Sze‐Bi Hsu Taiwan 30 636 0.5× 1.9k 1.8× 487 0.6× 1.1k 2.0× 947 2.6× 93 2.9k
Jacques Bélair Canada 27 854 0.7× 432 0.4× 802 0.9× 186 0.3× 367 1.0× 53 2.2k
W. Govaerts Belgium 25 801 0.7× 469 0.4× 896 1.0× 336 0.6× 186 0.5× 89 3.5k

Countries citing papers authored by Brian Hassard

Since Specialization
Citations

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

Fields of papers citing papers by Brian Hassard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Brian Hassard

This figure shows the co-authorship network connecting the top 25 collaborators of Brian Hassard. A scholar is included among the top collaborators of Brian Hassard 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 Brian Hassard. Brian Hassard 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.
Hassard, Brian, et al.. (2011). Uniqueness of the Critical Rayleigh and Wave Numbers for the Inhomogeneous Planar Benard Problem. 1 indexed citations
2.
Hassard, Brian. (2000). AN UNUSUAL HOPF BIFURCATION: THE RAILWAY BOGIE. International Journal of Bifurcation and Chaos. 10(2). 503–507. 3 indexed citations
3.
Hassard, Brian. (1997). Counting Roots of the Characteristic Equation for Linear Delay-Differential Systems. Journal of Differential Equations. 136(2). 222–235. 41 indexed citations
4.
Hassard, Brian, et al.. (1996). A special point of Z2-codimension three Hopf bifurcation in the Hodgkin-Huxley model. Applied Mathematics Letters. 9(3). 31–34. 4 indexed citations
5.
Shi, Zhixin & Brian Hassard. (1995). Precise Solution of Laplace's Equation. Mathematics of Computation. 64(210). 515–515. 1 indexed citations
6.
Hassard, Brian, et al.. (1994). A computer proof that the Lorenz equations have “chaotic” solutions. Applied Mathematics Letters. 7(1). 79–83. 30 indexed citations
7.
Hassard, Brian, et al.. (1994). Existence of a Homoclinic Orbit of the Lorenz System by Precise Shooting. SIAM Journal on Mathematical Analysis. 25(1). 179–196. 19 indexed citations
8.
Hassard, Brian, et al.. (1993). Degenerate Hopf Bifurcation and Isolas of Periodic Solutions in an Enzyme-Catalyzed Reaction Model. Journal of Mathematical Analysis and Applications. 177(1). 170–189. 3 indexed citations
9.
Hassard, Brian, et al.. (1992). Unfolding a Point of Degenerate Hopf Bifurcation in an Enzyme-Catalyzed Reaction Model. SIAM Journal on Mathematical Analysis. 23(5). 1291–1304. 7 indexed citations
10.
Hassard, Brian, et al.. (1991). Degenerate Hopf bifurcation and isolated periodic solutions of the Hodgkin-Huxley model with varying sodium ion concentration. Journal of Theoretical Biology. 148(2). 157–173. 15 indexed citations
11.
Hassard, Brian, et al.. (1989). Isolated periodic solutions of the Hodgkin-Huxley equations. Journal of Theoretical Biology. 136(3). 267–279. 10 indexed citations
12.
Elhenawy, Ibrahim, Brian Hassard, & Nicholas D. Kazarinoff. (1986). A stability analysis of non-time-periodic perturbations of buoyancy-induced flows in pure water near 4 °C. Journal of Fluid Mechanics. 163. 1–20. 4 indexed citations
13.
Gebhart, B., Brian Hassard, S. P. Hastings, & Nicholas D. Kazarinoff. (1983). MULTIPLE STEADY-STATE SOLUTIONS FOR BUOYANCY-INDUCED TRANSPORT IN POROUS MEDIA SATURATED WITH COLD PURE OR SALINE WATER. Numerical Heat Transfer. 6(3). 337–352. 8 indexed citations
14.
Elhenawy, Ibrahim, Brian Hassard, Nicholas D. Kazarinoff, B. Gebhart, & Joseph C. Mollendorf. (1982). Numerically computed multiple steady states of vertical buoyancy-induced flows in cold pure water. Journal of Fluid Mechanics. 122. 235–250. 15 indexed citations
15.
Hassard, Brian, et al.. (1981). Theory and applications of Hopf bifurcation. Cambridge University Press eBooks. 2061 indexed citations breakdown →
16.
Hassard, Brian & Ibrahim Elhenawy. (1981). Numerical Hopf bifurcation analysis in nonlinear ordinary and partial differential systems from chemical reactor theory. Applied Mathematics and Computation. 9(2). 75–92. 7 indexed citations
17.
Hassard, Brian, et al.. (1978). Bifurcation formulae derived from center manifold theory. Journal of Mathematical Analysis and Applications. 63(1). 297–312. 123 indexed citations
18.
Hassard, Brian. (1978). Bifurcation of periodic solutions of the Hodgkin-Huxley model for the squid giant axon. Journal of Theoretical Biology. 71(3). 401–420. 117 indexed citations
19.
Hassard, Brian, et al.. (1973). On the instability of magnetohydrodynamic Couette flow via non-axisymmetric, oscillatory critical modes. Plasma Physics. 15(12). 1235–1245. 2 indexed citations
20.
Hassard, Brian, et al.. (1972). An exact solution in the stability of m. h. d. Couette flow. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 327(1569). 269–278. 8 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Nicholas D. Kazarinoff Breakdown of academic impact, for papers by L. M. Perko Breakdown of academic impact, for papers by Teresa Faria Breakdown of academic impact, for papers by Konstantin Mischaikow Breakdown of academic impact, for papers by Jack Carr Breakdown of academic impact, for papers by Neil Fenichel Breakdown of academic impact, for papers by D.S. Mazel Breakdown of academic impact, for papers by Sze‐Bi Hsu Breakdown of academic impact, for papers by Jacques Bélair Breakdown of academic impact, for papers by W. Govaerts
Rankless by CCL
2026