N. Rouche

1.4k total citations · 1 hit paper
10 papers, 955 citations indexed

About

N. Rouche is a scholar working on Computational Theory and Mathematics, Computer Networks and Communications and Numerical Analysis. According to data from OpenAlex, N. Rouche has authored 10 papers receiving a total of 955 indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Computational Theory and Mathematics, 1 paper in Computer Networks and Communications and 1 paper in Numerical Analysis. Recurrent topics in N. Rouche's work include Geotechnical and Geomechanical Engineering (1 paper), Elasticity and Wave Propagation (1 paper) and semigroups and automata theory (1 paper). N. Rouche is often cited by papers focused on Geotechnical and Geomechanical Engineering (1 paper), Elasticity and Wave Propagation (1 paper) and semigroups and automata theory (1 paper). N. Rouche collaborates with scholars based in Belgium and Belarus. N. Rouche's co-authors include M. Laloy, Patrick Habets and Jean Mawhin and has published in prestigious journals such as Journal of Differential Equations, International Journal of Non-Linear Mechanics and Applied mathematical sciences.

In The Last Decade

N. Rouche

9 papers receiving 847 citations

Hit Papers

align trajectories

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.

Stability Theory by Liapunov’s Direct Method

1977 750 citations N. Rouche, Patrick Habets et al. Applied mathematical sciences profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
N. Rouche Belgium	7	500	170	158	149	145	10	955
M. Laloy Belgium	3	436 0.9×	99 0.6×	95 0.6×	133 0.9×	130 0.9×	4	767
George Philip Szegö Italy	7	378 0.8×	101 0.6×	70 0.4×	116 0.8×	168 1.2×	11	854
A. T. FULLER United Kingdom	17	567 1.1×	49 0.3×	120 0.8×	99 0.7×	154 1.1×	88	1.1k
Vimal Singh Türkiye	16	644 1.3×	184 1.1×	128 0.8×	142 1.0×	101 0.7×	42	1.1k
S.N. Chow United States	10	245 0.5×	193 1.1×	213 1.3×	138 0.9×	207 1.4×	16	777
M. Tismenetsky Israel	10	202 0.4×	116 0.7×	153 1.0×	82 0.6×	126 0.9×	19	846
Minoru Urabe Japan	12	144 0.3×	81 0.5×	248 1.6×	50 0.3×	143 1.0×	38	698
Fritz Colonius Germany	19	596 1.2×	111 0.7×	136 0.9×	175 1.2×	338 2.3×	100	1.2k
T. Yoshizawa Japan	4	350 0.7×	377 2.2×	225 1.4×	100 0.7×	103 0.7×	6	758
Luciano Pandolfi Italy	18	865 1.7×	160 0.9×	197 1.2×	323 2.2×	268 1.8×	100	1.3k

Countries citing papers authored by N. Rouche

Since Specialization

Citations

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

Fields of papers citing papers by N. Rouche

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of N. Rouche

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

All Works

Sort: Min cites: Since: Top N: Style:

10 of 10 papers shown

1.

Rouche, N., et al.. (2001). La notion d'infini : l'infini mathématique entre mystère et raison : intuitions, paradoxes, rigueur. Ellipses eBooks.

2.

Rouche, N. & Jean Mawhin. (1980). Ordinary differential equations : stability and periodic solutions. 81 indexed citations

3.

Rouche, N.. (1980). Ordinary differential equations. 38 indexed citations

4.

Rouche, N., Patrick Habets, & M. Laloy. (1977). Stability Theory by Liapunov’s Direct Method. Applied mathematical sciences. 750 indexed citations breakdown →

5.

Rouche, N. & Jean Mawhin. (1973). Équations différentielles ordinaires. Masson eBooks. 57 indexed citations

6.

Rouche, N., et al.. (1973). Attractivity of closed sets proved by using a family of Liapunov functions. Journal of Differential Equations. 13(2). 231–246. 11 indexed citations

7.

Rouche, N.. (1969). Nouveaux theoremes de stabilite utilisant la methode directe de Liapounov. International Journal of Non-Linear Mechanics. 4(4). 301–309. 1 indexed citations

8.

Rouche, N.. (1968). On the stability of motion. International Journal of Non-Linear Mechanics. 3(3). 295–306. 10 indexed citations

9.

Rouche, N.. (1962). Steady Oscillations of Parametric Subharmonic Oscillator. IRE Transactions on Circuit Theory. 9(1). 7–12. 1 indexed citations

10.

Rouche, N.. (1958). Some Properties of Boolean Equations. IEEE Transactions on Electronic Computers. EC-7(4). 291–298. 6 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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