L. M. Perko

4.4k citations

44 papers · 2.9k indexed · 3 hit papers · h-index 16

Impact in

Modeling and Simulation top 0.5%
- COVID-19 epidemiological studies
Geometry and Topology top 1%
- Advanced Differential Equations and Dynamical Systems

Papers in

Geometry and Topology 21
- Advanced Differential Equations and Dynamical Systems 20
Statistical and Nonlinear Physics 19
- Quantum chaos and dynamical systems 18

Co-authors: Terence R. Blows W. E. Johnson I. Iliev Elizabeth Walter Ramon E. Moore J. BREAKWELL J. V. Breakwell Freddy Dumortier
Journals: Journal of Differential Equations (7 papers)SIAM Journal on Applied Mathematics (5 papers)Celestial Mechanics and Dynamical Astronomy (5 papers)Proceedings of the American Mathematical Society (5 papers)Archive for Rational Mechanics and Analysis (3 papers)
Partner nations: United States Russia Bulgaria

In The Last Decade

L. M. Perko

43 papers receiving 2.7k citations

Hit Papers

align trajectories log scale

Differential Equations and Dynamical Systems 2001 · 1.1k citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

2001 CERN Document Server (European Organization for Nuclear Research)
1996 CERN Document Server (European Organization for Nuclear Research)
1991 CERN Document Server (European Organization for Nuclear Research)

Peers

Countries citing papers authored by L. M. Perko

Since Specialization

Citations

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

Fields of papers citing papers by L. M. Perko

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by L. M. Perko. 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 L. M. Perko. The network helps show where L. M. Perko may publish in the future.

Co-authors

The 8 scholars most cited alongside L. M. Perko, 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 L. M. Perko Line = papers co-authored together L. M. Perko links everyone, so they are left out of the graph.

All Works

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

20 of 20 papers shown

#	Work
1	Local Bifurcations and a Survey of Bounded Quadratic Systems Journal of Differential Equations ·Freddy Dumortier, Triyono Budi Santoso, L. M. Perko	2000	12
2	Higher Order Bifurcations of Limit Cycles Journal of Differential Equations ·I. Iliev, L. M. Perko	1999	36
3	Differential Equations and Dynamical Systems CERN Document Server (European Organization for Nuclear Research) ·L. M. Perko Hit paper breakdown →	1996	616
4	Multiple Limit Cycle Bifurcation Surfaces and Global Families of Multiple Limit Cycles Journal of Differential Equations ·L. M. Perko	1995	12
5	Homoclinic loop and multiple limit cycle bifurcation surfaces Transactions of the American Mathematical Society ·L. M. Perko	1994	10
6	Rotated Vector Fields Journal of Differential Equations ·L. M. Perko	1993	31
7	Bifurcation of limit cycles: geometric theory Proceedings of the American Mathematical Society ·L. M. Perko	1992	12
8	Global families of limit cycles of planar analytic systems Transactions of the American Mathematical Society ·L. M. Perko	1990	22
9	Global Families of Limit Cycles of Planar Analytic Systems Transactions of the American Mathematical Society ·L. M. Perko	1990	5
10	On the Accumulation of Limit Cycles Proceedings of the American Mathematical Society ·L. M. Perko	1987	6
11	Existence, uniqueness, and nonexistence of limit cycles for a class of quadratic systems in the plane Journal of Differential Equations ·L. M. Perko, Maria Hamann	1984	10
12	Limit cycles of quadratic systems in the plane Rocky Mountain Journal of Mathematics ·L. M. Perko	1984	12
13	Families of Symmetric Periodic Solutions of Hill's Problem I: First Species Periodic Solutions for C ≪-1 American Journal of Mathematics ·L. M. Perko	1982	6
14	Second species solutions with an 0(? v ), 0<v<1, near-Moon passage Celestial Mechanics and Dynamical Astronomy ·L. M. Perko	1981	15
15	Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane Journal of Differential Equations ·L. M. Perko	1975	48
16	Bounded quadratic systems in the plane Journal of Differential Equations ·Rocio Romero Pradilla, L. M. Perko	1970	37
17	Interior and exterior boundary value problems from the theory of the capillary tube Archive for Rational Mechanics and Analysis ·W. E. Johnson, L. M. Perko	1968	42
18	Inviscid fluid flow in an accelerating cylindrical container Journal of Fluid Mechanics ·Ramon E. Moore, L. M. Perko	1965	24
19	Matched asymptotic expansions, patched conics and the computation ofinterplanetary trajectories J. BREAKWELL, L. M. Perko	1965	15
20	Interplanetary trajectories in the restricted three-body problem AIAA Journal ·L. M. Perko	1964	7

About L. M. Perko

L. M. Perko is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics, Biochemistry, Astronomy and Astrophysics and Aerospace Engineering, having authored 44 papers that have together received 2.9k indexed citations. Recurring topics across this work include Advanced Differential Equations and Dynamical Systems (20 papers), Quantum chaos and dynamical systems (18 papers), Spacecraft Dynamics and Control (13 papers), Astro and Planetary Science (8 papers), Lipid metabolism and biosynthesis (5 papers), Space Satellite Systems and Control (3 papers), Nonlinear Dynamics and Pattern Formation (3 papers) and Cosmology and Gravitation Theories (2 papers). The work is most often cited by research in Modeling and Simulation (381 citations), Geometry and Topology (628 citations), Statistical and Nonlinear Physics (759 citations), Public Health, Environmental and Occupational Health (892 citations) and Numerical Analysis (143 citations). L. M. Perko has collaborated with scholars based in United States, Russia and Bulgaria. Frequent co-authors include Terence R. Blows, W. E. Johnson, I. Iliev, Elizabeth Walter, Ramon E. Moore, J. BREAKWELL, J. V. Breakwell and Freddy Dumortier. Their work appears in journals such as Journal of Differential Equations, SIAM Journal on Applied Mathematics, Celestial Mechanics and Dynamical Astronomy, Proceedings of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

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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