The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
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Citations
Cites
Perturbation Methods in Applied Mathematics
Cole, J. D., & Levine, L. E. (1973) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1973.4309322 · Cited by 1,831
Hirsch, M. W., Pugh, C. C., & Shub, M. (1977) · Lecture Notes in Mathematics · doi:10.1007/bfb0092042 · Cited by 1,323
GODDARD, L. S. (1963) · Nature · doi:10.1038/197525a0 · Cited by 1,083
Nonlinear Oscillations in Physical Systems
Ritchie, C. C. (1965) · Physics Bulletin · doi:10.1088/0031-9112/16/7/016 · Cited by 768
Nonlinear oscillations in physical systems
林, 千. (1964) · Medical Entomology and Zoology · Cited by 724
On Nonlinear Vibrations of Systems with Many Degrees of Freedom
Rosenberg, R. M. (1966) · Advances in Applied Mechanics · doi:10.1016/s0065-2156(08)70008-5 · Cited by 458
Biological Oscillators: their Mathematical Analysis
(1973) · Elsevier eBooks · doi:10.1016/b978-0-12-547350-7.x5001-9 · Cited by 445
Cartwright, M. L., & Littlewood, J. E. (1945) · Journal of the London Mathematical Society · doi:10.1112/jlms/s1-20.3.180 · Cited by 298
A Second Order Differential Equation with Singular Solutions
Levinson, N. (1949) · The Annals of Mathematics · doi:10.2307/1969357 · Cited by 268
A Second Order Differential Equation with Singular Solutions
Levinson, N. (1998) · Selected Papers of Norman Levinson Volume 1 · doi:10.1007/978-1-4612-5341-9_12 · Cited by 197
Cited by
Synchronization in complex networks of phase oscillators: A survey
Dörfler, F., & Bullo, F. (2014) · Automatica · doi:10.1016/j.automatica.2014.04.012 · Cited by 1,149
Cohen, A. H., Holmes, P. J., & Rand, R. H. (1982) · Journal of Mathematical Biology · doi:10.1007/bf00276069 · Cited by 542
Self-citationFrequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
Ermentrout, G. B., & Kopell, N. (1984) · SIAM Journal on Mathematical Analysis · doi:10.1137/0515019 · Cited by 453
Are central pattern generators understandable?
Selverston, A. I. (1980) · Behavioral and Brain Sciences · doi:10.1017/s0140525x00006580 · Cited by 319
Oscillator Death in Systems of Coupled Neural Oscillators
Ermentrout, G. B., & Kopell, N. (1990) · SIAM Journal on Applied Mathematics · doi:10.1137/0150009 · Cited by 269
Metadata
- Authors
- Rand, R. H., & Holmes, P. J.
- Venue
- International Journal of Non-Linear Mechanics
- Publisher
- Elsevier BV
- Published
- 1980-01
- Volume
- 15
- Issue
- 4-5
- Pages
- 387-399
- ISSN
- 0020-7462 (ISSN-L)
- OpenAlex
- W2019474388
- Cited by
- 269
- References
- 11
- FWCI
- 27.13
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Bifurcation of periodic motions in two weakly coupled van der Pol oscillators. https://app.cochat.ai/papers/10.1016/0020-7462(80)90024-4
- The paper
- Rand, R. H., & Holmes, P. J. (1980). Bifurcation of periodic motions in two weakly coupled van der Pol oscillators. International Journal of Non-Linear Mechanics. https://doi.org/10.1016/0020-7462(80)90024-4
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.