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Most cited papers in Appalachian Studies and Mathematics

Appalachian Studies and Mathematics

What are the most cited papers in Appalachian Studies and Mathematics?

The most cited paper in Appalachian Studies and Mathematics is "Bowling Alone: The Collapse and Revival of American Community" (Robert Y. Shapiro, 2000), with 2,730 citations. Next come "The stable, center-stable, center, center-unstable, unstable manifolds" (412) and "Contributions to role-taking theory: I. Hypnotic behavior." (275).

Showing 50 of 101 papers. Every paper with more than 10 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Bowling Alone: The Collapse and Revival of American Community Robert Y. Shapiro · Political Science Quarterly 2000 2,730
2 The stable, center-stable, center, center-unstable, unstable manifolds Al Kelley · Journal of Differential Equations Open access Oct 1967 412
3 Contributions to role-taking theory: I. Hypnotic behavior. Theodore R. Sarbin · Psychological Review 1950 275
4 Integral averaging and bifurcation Shui-Nee Chow, John Mallet‐Paret · Journal of Differential Equations Open access Oct 1977 235
5 Robert D. Putnam, Bowling Alone: The Collapse and Revival of American Community, Simon and Shuster, New York, 2000. Karen Wright · VOLUNTAS International Journal of Voluntary and Nonprofit Organizations Jun 2001 225
6 On the conservation of hyperbolic invariant tori for Hamiltonian systems Samuel M. Graff · Journal of Differential Equations Open access 1974 218
7 SOUTHERN POLITICS IN STATE AND NATION. By V. O. Key, Jr. with Alexander Heard. New York: Alfred A. Knopf. 1949. Thomas Wood · University of Miami School of Law Institutional Repository (University of Miami) Open access Feb 1950 104
8 A bifurcation problem for a functional differential equation of finitely retarded type Nathaniel Chafee · Journal of Mathematical Analysis and Applications Open access Aug 1971 103
9 How the Millennium Comes Violently: From Jonestown to Heaven's Gate Thomas Robbins · Nova Religio The Journal of Alternative and Emergent Religions Oct 2000 92
10 Teaching/Learning Resources and Academic Performance in Mathematics in Secondary Schools in Bondo District of Kenya Philias Olatunde Yara, Kennedy Omondi Otieno · Asian Social Science Open access 18 Nov 2010 84
11 Introducción a la metodología de investigación cualitativa. Rosario Quecedo Lecanda, Carlos Manuel Castaño Garrido · Revista de Psicodidáctica Open access 2002 83
12 Ramp Hollow: The Ordeal of Appalachia Steven Stoll · Southern Spaces Open access 22 Jan 2018 79
13 Living in a Quantum World Vlatko Vedral · Scientific American 17 May 2011 79
14 Can Spacetime be a Condensate? B. L. Hu · International Journal of Theoretical Physics Open access Oct 2005 78
15 Pressure-Driven Ranque-Hilsch Temperature Separation in Liquids Robert Balmer · Journal of Fluids Engineering Jun 1988 77
16 Confusion of figurative and literal usages of words by schizophrenics and brain damaged patients. Loren J. Chapman · Journal of Abnormal & Social Psychology May 1960 66
17 Stability of the center-stable manifold Al Kelley · Journal of Mathematical Analysis and Applications Open access May 1967 61
18 Invariant surfaces of standard two-dimensional systems with conservative first approximation of the third order V. V. Basov · Differential Equations 2008 59
19 Periodically Perturbed Hopf Bifurcation Navaratnam Sri Namachchivaya, Samuel T. Ariaratnam · SIAM Journal on Applied Mathematics Feb 1987 50
20 Social solidarity as a problem for cosmopolitan democracy Craig Jackson Calhoun · Cambridge University Press eBooks Book chapter 2 Aug 2007 46
21 Senator Barack Obama and Immigration Reform Margaret E. Dorsey, Miguel Díaz‐Barriga · Journal of Black Studies 18 Jul 2007 44
22 Invariants of ?-conjugacy of diffeomorphisms with a nongeneric homoclinic trajectory С. В. Гонченко, Leonid Pavlovich Shilnikov · Ukrainian Mathematical Journal Feb 1990 43
23 Perfect-fluid cylinders and walls - sources for the Levi-Civita spacetime Thomas G Philbin · Classical and Quantum Gravity Open access May 1996 42
24 Appalachia on our mind Roger A. Winsor · Journal of Historical Geography 1979 38
25 The future of psychotherapy with ethnic minorities. Lillian Comas‐Díaz · Psychotherapy 1992 38
26 On the Liapounov subcenter manifold Al Kelley · Journal of Mathematical Analysis and Applications Open access Jun 1967 37
27 Density of slowly oscillating solutions of ẋ(t) = −f(x(t − 1)) Hans‐Otto Walther · Journal of Mathematical Analysis and Applications Open access 1981 36
28 A theorem on the amplitudes of periodic solutions of differential delay equations with applications to bifurcation Hans‐Otto Walther · Journal of Differential Equations Open access Sep 1978 36
29 A “Scientific Revolution”: Sociological Theory in the United States, 1930–1945 Henrika Kuklick · Sociological Inquiry 1973 35
30 Strom Thurmond and the Politics of Southern Change. Numan V. Bartley, Nadine Cohodas · The American Historical Review Oct 1994 34
31 Appalachia's Path to Dependency: Rethinking a Region's Economic History, 1730-1940. William W. Falk, Paul Salstrom · Journal of American History Jun 1995 34
32 Stability and bifurcation analysis on a Logistic model with discrete and distributed delays Yongli Song, Yahong Peng · Applied Mathematics and Computation 12 Jun 2006 33
33 An experimental analysis of role behavior. Theodore R. Sarbin, Donal S. Jones · Journal of Abnormal & Social Psychology Sep 1955 32
34 Wham, Bam, thank you, Sam: Critical dimensions of the persistence of hillbilly caricatures Gary S. Foster, Richard Line Hummel · Sociological Spectrum Apr 1997 32
35 Quasi-periodic response solutions in forced reversible systems with Liouvillean frequencies Zhaowei Lou, Jiansheng Geng · Journal of Differential Equations Open access 18 May 2017 29
36 Fictive Religion: Rhetoric and Play Lonnie D. Kliever · Journal of the American Academy of Religion 1981 29
37 Seminar-induced change in a community psychiatric team's reported attitudes toward “mental illness” James K. D. Morrison, Rot E. Becker · Journal of Community Psychology Jul 1975 29
38 An Appalachian Trail: A Project in Regional Planning Garrett Dash Nelson · Places Open access 4 Apr 2019 28
39 A general approach for constructing the limit cycle loci of multiple-nonlinearity systems Ho Chang, Chin Pan, Chia‐Yen Huang et al. · IEEE Transactions on Automatic Control Sep 1987 28
40 On the stability of limit cycles in nonlinear feedback systems: Analysis using describing functions Richard K. Miller, Anthony N. MICHEL, Gary S. Krenz · IEEE Transactions on Circuits and Systems Sep 1983 27
41 Dynamic behavior from bifurcation equations J. C. F. De Oliveira, Jack K. Hale · Tohoku Mathematical Journal Open access 1980 27
42 Two Worlds in the Tennessee Mountains: Exploring the Origins of Appalachian Stereotypes Ellen Eslinger, David C. Hsiung · Journal of the Early Republic 1998 26
43 A General Solution of the Duffing Equation Alex Elı́as-Zúñiga · Nonlinear Dynamics 9 Jun 2006 25
44 Diagnosing Billy Pilgrim: A Psychiatric Approach to Kurt Vonnegut's Slaughterhouse-Five Susanne Vees‐Gulani · Critique Studies in Contemporary Fiction 2003 25
45 Integral transforms with exponential kernels and Laplace transform Masaki Kashiwara, Pierre Schapira · Journal of the American Mathematical Society Open access 1997 25
46 The Hopf bifurcation: A stability result and application Harlan W. Stech · Journal of Mathematical Analysis and Applications Open access Oct 1979 24
47 Klassisk och modern samhällsteori Heine Andersen, Lars Bo Kaspersen 1999 23
48 Perturbation theorems for nonlinear systems of ordinary differential equations Zhivko S. Athanassov · Journal of Mathematical Analysis and Applications Open access Mar 1982 23
49 Recovering functions defined on the unit sphere by integration on a special family of sub-spheres Yehonatan Salman · Analysis and Mathematical Physics 21 May 2016 22
50 Brain Mechanisms, Intrapsychic Processes and Behavior: A Theory of Hypnosis and Psychopathology Joseph Reyher · American Journal of Clinical Hypnosis Oct 1964 22

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.