Hiroe Oka

552 total citations
22 papers, 361 citations indexed

About

Hiroe Oka is a scholar working on Computer Networks and Communications, Statistical and Nonlinear Physics and Geometry and Topology. According to data from OpenAlex, Hiroe Oka has authored 22 papers receiving a total of 361 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Computer Networks and Communications, 13 papers in Statistical and Nonlinear Physics and 11 papers in Geometry and Topology. Recurrent topics in Hiroe Oka's work include Nonlinear Dynamics and Pattern Formation (13 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (10 papers). Hiroe Oka is often cited by papers focused on Nonlinear Dynamics and Pattern Formation (13 papers), Quantum chaos and dynamical systems (10 papers) and Advanced Differential Equations and Dynamical Systems (10 papers). Hiroe Oka collaborates with scholars based in Japan, United States and United Kingdom. Hiroe Oka's co-authors include Hiroshi Kokubu, Konstantin Mischaikow, Duo Wang, Leon O. Chua, Tomáš Gedeon, Paweł Pilarczyk, William D. Kalies, Yasumasa Nishiura, Freddy Dumortier and Stefano Luzzatto and has published in prestigious journals such as Physica D Nonlinear Phenomena, Journal of Differential Equations and International Journal of Bifurcation and Chaos.

In The Last Decade

Hiroe Oka

22 papers receiving 312 citations

Peers

Hiroe Oka

SNP

CNC

CTM

Reiner Lauterbach Germany

Evelyn Sander United States

Ale Jan Homburg Netherlands

Jorge Ize Mexico

Peter De Maesschalck Belgium

Sarah Day United States

J. M. Gambaudo France

M. L. Stein United States

A. Yu. Kolesov Russia

Simon J. A. Malham United Kingdom

Reiner Lauterbach Germany

Hiroe Oka

170 ×0.8

SNP

108 ×0.8

154 ×1.1

CNC

69 ×0.8

51 ×1.0

CTM

Citations per year, relative to Hiroe Oka Hiroe Oka (= 1×) peers Reiner Lauterbach

Countries citing papers authored by Hiroe Oka

Since Specialization

Citations

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

Fields of papers citing papers by Hiroe Oka

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hiroe Oka

This figure shows the co-authorship network connecting the top 25 collaborators of Hiroe Oka. A scholar is included among the top collaborators of Hiroe Oka 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 Hiroe Oka. Hiroe Oka is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Duncan, W.J., Tomáš Gedeon, Hiroshi Kokubu, Konstantin Mischaikow, & Hiroe Oka. (2021). Equilibria and their Stability in Networks with Steep Sigmoidal Nonlinearities. SIAM Journal on Applied Dynamical Systems. 20(4). 2108–2141. 6 indexed citations

Gedeon, Tomáš, et al.. (2016). Global dynamics for steep nonlinearities in two dimensions. Physica D Nonlinear Phenomena. 339. 18–38. 19 indexed citations

Kokubu, Hiroshi & Hiroe Oka. (2012). A topological computation approach to the interior crisis bifurcation. Nonlinear Theory and Its Applications IEICE. 4(1). 97–103. 1 indexed citations

Kalies, William D., et al.. (2009). A Database Schema for the Analysis of Global Dynamics of Multiparameter Systems. SIAM Journal on Applied Dynamical Systems. 8(3). 757–789. 54 indexed citations

Gameiro, Marcio, Tomáš Gedeon, William D. Kalies, et al.. (2006). Topological Horseshoes of Traveling Waves for a Fast–Slow Predator–Prey System. Journal of Dynamics and Differential Equations. 19(3). 623–654. 7 indexed citations

Gedeon, Tomáš, Hiroshi Kokubu, Konstantin Mischaikow, & Hiroe Oka. (2005). The Conley index for fast–slow systems II: Multidimensional slow variable. Journal of Differential Equations. 225(1). 242–307. 4 indexed citations

Gedeon, Tomáš, Hiroshi Kokubu, Konstantin Mischaikow, & Hiroe Oka. (2002). Chaotic Solutions in Slowly Varying Perturbations of Hamiltonian Systems with Applications to Shallow Water Sloshing. Journal of Dynamics and Differential Equations. 14(1). 63–84. 10 indexed citations

Kokubu, Hiroshi, Konstantin Mischaikow, & Hiroe Oka. (1999). Directional transition matrix. Banach Center Publications. 47(1). 133–144. 5 indexed citations

Gedeon, Tomáš, et al.. (1999). The Conley Index for Fast-Slow Systems I. One-Dimensional Slow Variable. Journal of Dynamics and Differential Equations. 11(3). 427–470. 9 indexed citations

10.

Kokubu, Hiroshi, et al.. (1997). Connecting Orbit Structure of Monotone Solutions in the Shadow System. Journal of Differential Equations. 140(2). 309–364. 4 indexed citations

11.

Kokubu, Hiroshi, Hiroe Oka, & Duo Wang. (1996). Linear Grading Function and Further Reduction of Normal Forms. Journal of Differential Equations. 132(2). 293–318. 58 indexed citations

12.

Kokubu, Hiroshi, Konstantin Mischaikow, & Hiroe Oka. (1996). Existence of infinitely many connecting orbits in a singularly perturbed ordinary differential equation. Nonlinearity. 9(5). 1263–1280. 10 indexed citations

13.

Kokubu, Hiroshi, et al.. (1996). MULTIPLE HOMOCLINIC BIFURCATIONS FROM ORBIT-FLIP I: SUCCESSIVE HOMOCLINIC DOUBLINGS. International Journal of Bifurcation and Chaos. 6(5). 833–850. 17 indexed citations

14.

Dumortier, Freddy, Hiroshi Kokubu, & Hiroe Oka. (1995). A degenerate singularity generating geometric Lorenz attractors. Ergodic Theory and Dynamical Systems. 15(5). 833–856. 15 indexed citations

15.

Kokubu, Hiroshi, et al.. (1993). Bifurcations toN-homoclinic orbits andN-periodic orbits in vector fields. Journal of Dynamics and Differential Equations. 5(2). 305–357. 62 indexed citations

16.

Kokubu, Hiroshi, Yasumasa Nishiura, & Hiroe Oka. (1990). Heteroclinic and homoclinic bifurcations in bistable reaction diffusion systems. Journal of Differential Equations. 86(2). 260–341. 27 indexed citations

17.

Chua, Leon O. & Hiroe Oka. (1989). Normal forms for constrained nonlinear differential equations. II. Bifurcation. IEEE Transactions on Circuits and Systems. 36(1). 71–88. 7 indexed citations

18.

Chua, Leon O. & Hiroe Oka. (1988). Normal forms for constrained nonlinear differential equations. I. Theory. IEEE Transactions on Circuits and Systems. 35(7). 881–901. 18 indexed citations

19.

Oka, Hiroe. (1987). Constrained systems, characteristic surfaces, and normal forms. 4(3). 393–431. 5 indexed citations

20.

Oka, Hiroe & Hiroshi Kokubu. (1985). Constrained Lorenz-like attractors. 2(2). 495–500. 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.

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