N. Rouche

1.4k citations
10 papers · 957 · 1 hit paper · h-index 7

Impact in

    • Differential Equations and Numerical Methods
    • Adaptive Control of Nonlinear Systems
    • Stability and Controllability of Differential Equations
    • Control and Stability of Dynamical Systems
    • Stability and Control of Uncertain Systems

Papers in

Journals
International Journal of Non-Linear Mechanics (2 papers)Journal of Differential Equations (1 paper)Applied mathematical sciences (1 paper)IRE Transactions on Circuit Theory (1 paper)IEEE Transactions on Electronic Computers (1 paper)
Partner nations
BelgiumBelarus

In The Last Decade

N. Rouche

9 papers receiving 848 citations

N. Rouche's Hit Papers

Stability Theory by Liapunov’s Direct Method 1977 · 753 citations
7530+16+32Years since publication250500750

Peers

N. Rouche
Comparison fields: 5 of 73
  • Numerical Analysis 154
  • Control and Systems Engineering 504
  • Applied Mathematics 170
  • Statistical and Nonlinear Physics 147
  • Geometry and Topology 90
Replace M. Laloy with:
M. Laloy Belgium
Pavol Brunovský Slovakia
A. T. FULLER United Kingdom
George Philip Szegö United States
Vimal Singh Türkiye
T. Yoshizawa Japan
M. Tismenetsky Israel
S.N. Chow United States
Minoru Urabe Japan
J.L. Willems Belgium
N. Rouche relative to M. Laloy Belgium M. Laloy's profile →
Citations per field
00.5×1.7×
M. Laloy · 1×
Citations per year

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-authors

The 3 scholars most cited alongside N. Rouche, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with N. Rouche Line = papers co-authored together N. Rouche links everyone, so they are left out of the graph.

All Works

10 of 10 papers shown
#Work
1
Stability Theory by Liapunov’s Direct Method
Hit paper breakdown →
1977753
2
Ordinary differential equations : stability and periodic solutions
198081
3
Équations différentielles ordinaires
197358
4
Ordinary differential equations
198038
5 197310
6 19689
7 19586
8 19621
9 19691
10
La notion d'infini : l'infini mathématique entre mystère et raison : intuitions, paradoxes, rigueur
20010

About N. Rouche

N. Rouche is a scholar working on Computational Theory and Mathematics, Computer Networks and Communications, Numerical Analysis, Control and Systems Engineering and Geometry and Topology, having authored 10 papers that have together received 957 indexed citations. Recurring topics across this work include Nonlinear Dynamics and Pattern Formation (1 paper), Elasticity and Wave Propagation (1 paper), Rough Sets and Fuzzy Logic (1 paper), Quantum chaos and dynamical systems (1 paper), Computability, Logic, AI Algorithms (1 paper), Control and Stability of Dynamical Systems (1 paper), Mathematical and Theoretical Epidemiology and Ecology Models (1 paper) and Machine Learning and Algorithms (1 paper). The work is most often cited by research in Numerical Analysis (154 citations), Control and Systems Engineering (504 citations), Applied Mathematics (170 citations), Statistical and Nonlinear Physics (147 citations) and Geometry and Topology (90 citations). N. Rouche has collaborated with scholars based in Belgium and Belarus. Frequent co-authors include Patrick Habets, M. Laloy and Jean Mawhin. Their work appears in journals such as International Journal of Non-Linear Mechanics, Journal of Differential Equations, Applied mathematical sciences, IRE Transactions on Circuit Theory and IEEE Transactions on Electronic Computers.

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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