N. P. Bhatia

2.0k total citations · 1 hit paper
21 papers, 1.3k citations indexed

About

N. P. Bhatia is a scholar working on Numerical Analysis, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, N. P. Bhatia has authored 21 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Numerical Analysis, 4 papers in Mathematical Physics and 4 papers in Control and Systems Engineering. Recurrent topics in N. P. Bhatia's work include Differential Equations and Numerical Methods (4 papers), Mathematical Dynamics and Fractals (3 papers) and Nonlinear Differential Equations Analysis (2 papers). N. P. Bhatia is often cited by papers focused on Differential Equations and Numerical Methods (4 papers), Mathematical Dynamics and Fractals (3 papers) and Nonlinear Differential Equations Analysis (2 papers). N. P. Bhatia collaborates with scholars based in United States, Italy and Germany. N. P. Bhatia's co-authors include George Philip Szegö, G. P. Szegö, Otomar Hájek, Peter Seibert, A. C. Lazer, V. Lakshmikantham, Walter Leighton, Patrick Rinke and Ondřej Krejčí and has published in prestigious journals such as IEEE Transactions on Automatic Control, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

N. P. Bhatia

20 papers receiving 1.1k citations

Hit Papers

align trajectories sort by overperformance

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 of Dynamical Systems

1970 790 citations N. P. Bhatia, George Philip Szegö profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
N. P. Bhatia United States	8	483	302	266	224	207	21	1.3k
Solomon Lefschetz United States	12	504 1.0×	154 0.5×	341 1.3×	469 2.1×	246 1.2×	39	1.8k
C. E. Langenhop United States	10	261 0.5×	219 0.7×	156 0.6×	216 1.0×	382 1.8×	27	1.3k
George Philip Szegö Italy	7	378 0.8×	176 0.6×	168 0.6×	168 0.8×	101 0.5×	11	854
F. S. Van Vleck United States	15	430 0.9×	289 1.0×	343 1.3×	219 1.0×	575 2.8×	33	1.9k
Wolfgang Hahn Germany	13	1.2k 2.4×	94 0.3×	228 0.9×	364 1.6×	256 1.2×	45	2.2k
G. Birkhoff United States	10	151 0.3×	264 0.9×	141 0.5×	205 0.9×	421 2.0×	19	1.7k
M. McCracken United States	3	220 0.5×	166 0.5×	278 1.0×	659 2.9×	117 0.6×	3	1.7k
J. P. LaSalle United States	17	1.2k 2.5×	107 0.4×	178 0.7×	386 1.7×	261 1.3×	34	2.5k
H. A. Antosiewicz United States	15	692 1.4×	94 0.3×	127 0.5×	293 1.3×	325 1.6×	30	1.7k
W. A. Coppel Australia	19	645 1.3×	430 1.4×	579 2.2×	634 2.8×	571 2.8×	42	2.1k

Countries citing papers authored by N. P. Bhatia

Since Specialization

Citations

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

Fields of papers citing papers by N. P. Bhatia

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of N. P. Bhatia

This figure shows the co-authorship network connecting the top 25 collaborators of N. P. Bhatia. A scholar is included among the top collaborators of N. P. Bhatia 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. P. Bhatia. N. P. Bhatia 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

1.

Bhatia, N. P., Patrick Rinke, & Ondřej Krejčí. (2025). Leveraging active learning-enhanced machine-learned interatomic potential for efficient infrared spectra prediction. npj Computational Materials. 11(1). 324–324.

2.

Bhatia, N. P., et al.. (1988). A refinement of Šarkovskiĭ’s theorem. Proceedings of the American Mathematical Society. 102(4). 965–972. 1 indexed citations

3.

Bhatia, N. P., et al.. (1988). A Refinement of Sarkovskii's Theorem. Proceedings of the American Mathematical Society. 102(4). 965–965. 1 indexed citations

4.

Bhatia, N. P., et al.. (1986). On the existence of Li-yorke points in the theory of chaos. Nonlinear Analysis. 10(6). 541–545. 1 indexed citations

5.

Bhatia, N. P., et al.. (1985). Non-Periodic Conditions for Chaos and Snap-Back Repellers,. 1 indexed citations

6.

Bhatia, N. P.. (1970). Attraction and nonsaddle sets in dynamical systems. Journal of Differential Equations. 8(2). 229–249. 17 indexed citations

7.

Bhatia, N. P. & George Philip Szegö. (1970). Stability Theory of Dynamical Systems. 790 indexed citations breakdown →

8.

Bhatia, N. P. & Otomar Hájek. (1969). Local Semi-Dynamical Systems. Lecture notes in mathematics. 92 indexed citations

9.

Bhatia, N. P.. (1967). On asymptotic stability in dynamical systems. Theory of Computing Systems. 1(2). 113–127. 10 indexed citations

10.

Bhatia, N. P.. (1967). Stability theorems for linear motions with an introduction to Lyapunov's direct method. IEEE Transactions on Automatic Control. 12(5). 637–638. 4 indexed citations

11.

Bhatia, N. P. & George Philip Szegö. (1967). Weak attractors inR n. Theory of Computing Systems. 1(2). 129–133. 5 indexed citations

12.

Bhatia, N. P.. (1966). Criteria for Dispersive Flows. Mathematische Nachrichten. 32(1-2). 89–93. 5 indexed citations

13.

Bhatia, N. P.. (1966). Some oscillation theorems for second order differential equations. Journal of Mathematical Analysis and Applications. 15(3). 442–446. 56 indexed citations

14.

Bhatia, N. P., A. C. Lazer, & George Philip Szegö. (1966). On global weak attractors in dynamical systems. Journal of Mathematical Analysis and Applications. 16(3). 544–552. 8 indexed citations

15.

Bhatia, N. P., A. C. Lazer, & Walter Leighton. (1966). Application of the Poincaré-Bendixson theorem. Annali di Matematica Pura ed Applicata (1923 -). 73(1). 27–32. 5 indexed citations

16.

Bhatia, N. P. & V. Lakshmikantham. (1965). An extension of Lyapunov's direct method.. The Michigan Mathematical Journal. 12(2). 4 indexed citations

17.

Bhatia, N. P.. (1964). Lectures on ordinary differential equations. Medical Entomology and Zoology. 7 indexed citations

18.

Bhatia, N. P.. (1964). On Exponential Stability of Linear Differential Systems. 2(2). 181–191. 4 indexed citations

19.

Bhatia, N. P., et al.. (1964). Attractors in dynamical systems. NASA Technical Reports Server (NASA). 32 indexed citations

20.

Bhatia, N. P.. (1962). Anwendung der direkten Methode von Ljapunow zum Nachweis der Beschränktheit und der Stabilität der Lösungen einer Klasse nichtlinearer Differentialgleichungen zweiter Ordnung. 3 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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