Van der Pol oscillator (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Van der Pol oscillator" in English language version.

refsWebsite

Global rank English rank

18doi.org

2^nd place

17worldcat.org

5^th place

9harvard.edu

18^th place

17^th place

9semanticscholar.org

11^th place

8^th place

7nih.gov

4^th place

6arxiv.org

69^th place

59^th place

2archive.org

6^th place

2aps.org

1,503^rd place

1,378^th place

1bdtoolbox.org

low place

1oxfordjournals.org

1,389^th place

2,996^th place

1scholarpedia.org

low place

1aip.org

2,204^th place

1,735^th place

1springer.com

274^th place

309^th place

1siam.org

low place

6,473^rd place

1nytimes.com

7^th place

aip.org (Global: 2,204^th place; English: 1,735^th place)

scitation.aip.org

Lucero, Jorge C.; Schoentgen, Jean (2013). Modeling vocal fold asymmetries with coupled van der Pol oscillators. Proceedings of Meetings on Acoustics. Vol. 19. p. 060165. doi:10.1121/1.4798467. ISSN 1939-800X.

aps.org (Global: 1,503^rd place; English: 1,378^th place)

journals.aps.org

Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.

archive.org (Global: 6^th place; English: 6^th place)

A, Dorodnicyn A. (1947). "Asymptotic solution of van der Pol's equation". Prikl. Mat. Mech. (in Russian). 11: 313–328.
Dorodnicyn, A. A. Asymptotic solution of Van Der Pol's equation. NIST Research Library. National Bureau of Standards.

arxiv.org (Global: 69^th place; English: 59^th place)

Cartwright, Julyan H. E.; Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste (1999). "Dynamics of Elastic Excitable Media". International Journal of Bifurcation and Chaos. 09 (11): 2197–2202. arXiv:chao-dyn/9905035. Bibcode:1999IJBC....9.2197C. doi:10.1142/s0218127499001620. ISSN 0218-1274. S2CID 9120223.
Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.

bdtoolbox.org (Global: low place; English: low place)

Heitmann, S., Breakspear, M (2017–2022) Brain Dynamics Toolbox. bdtoolbox.org doi.org/10.5281/zenodo.5625923

doi.org (Global: 2^nd place; English: 2^nd place)

Heitmann, S., Breakspear, M (2017–2022) Brain Dynamics Toolbox. bdtoolbox.org doi.org/10.5281/zenodo.5625923
Cartwright, M. L. (1960). "Balthazar Van Der Pol". Journal of the London Mathematical Society. s1-35 (3). Wiley: 367–376. doi:10.1112/jlms/s1-35.3.367. ISSN 0024-6107.
van der Pol, Balth. (1926). "On "relaxation-oscillations"". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 2 (11). Informa UK Limited: 978–992. doi:10.1080/14786442608564127. ISSN 1941-5982.
VAN DER POL, BALTH; VAN DER MARK, J. (1927). "Frequency Demultiplication". Nature. 120 (3019). Springer Science and Business Media LLC: 363–364. Bibcode:1927Natur.120..363V. doi:10.1038/120363a0. ISSN 0028-0836. S2CID 186244992.
FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.
Nagumo, J.; Arimoto, S.; Yoshizawa, S. (1962). "An Active Pulse Transmission Line Simulating Nerve Axon". Proceedings of the IRE. 50 (10). Institute of Electrical and Electronics Engineers (IEEE): 2061–2070. doi:10.1109/jrproc.1962.288235. ISSN 0096-8390. S2CID 51648050.
Cartwright, Julyan H. E.; Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste (1999). "Dynamics of Elastic Excitable Media". International Journal of Bifurcation and Chaos. 09 (11): 2197–2202. arXiv:chao-dyn/9905035. Bibcode:1999IJBC....9.2197C. doi:10.1142/s0218127499001620. ISSN 0218-1274. S2CID 9120223.
Lucero, Jorge C.; Schoentgen, Jean (2013). Modeling vocal fold asymmetries with coupled van der Pol oscillators. Proceedings of Meetings on Acoustics. Vol. 19. p. 060165. doi:10.1121/1.4798467. ISSN 1939-800X.
Panayotounakos, D.E.; Panayotounakou, N.D.; Vakakis, A.F. (2003-09-01). "On the lack of analytic solutions of the Van der Pol oscillator". ZAMM. 83 (9). Wiley: 611–615. Bibcode:2003ZaMM...83..611P. doi:10.1002/zamm.200310040. ISSN 0044-2267. S2CID 120504403.
Verhulst, Ferdinand (1996). Nonlinear Differential Equations and Dynamical Systems. Universitext. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-61453-8. ISBN 978-3-540-60934-6.
Andersen, C. M.; Geer, James F. (June 1982). "Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation". SIAM Journal on Applied Mathematics. 42 (3): 678–693. doi:10.1137/0142047. ISSN 0036-1399.
Zonneveld, J.A. (1966). "Periodic solutions of the Van der Pol equation". Indagationes Mathematicae (Proceedings). 69: 620–622. doi:10.1016/s1385-7258(69)50068-x. ISSN 1385-7258.
Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.
Cartwright, M. L.; Littlewood, J. E. (1945). "On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k Large". Journal of the London Mathematical Society. s1-20 (3). Wiley: 180–189. doi:10.1112/jlms/s1-20.3.180. ISSN 0024-6107.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

VAN DER POL, BALTH; VAN DER MARK, J. (1927). "Frequency Demultiplication". Nature. 120 (3019). Springer Science and Business Media LLC: 363–364. Bibcode:1927Natur.120..363V. doi:10.1038/120363a0. ISSN 0028-0836. S2CID 186244992.
FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.
Cartwright, Julyan H. E.; Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste (1999). "Dynamics of Elastic Excitable Media". International Journal of Bifurcation and Chaos. 09 (11): 2197–2202. arXiv:chao-dyn/9905035. Bibcode:1999IJBC....9.2197C. doi:10.1142/s0218127499001620. ISSN 0218-1274. S2CID 9120223.
Panayotounakos, D.E.; Panayotounakou, N.D.; Vakakis, A.F. (2003-09-01). "On the lack of analytic solutions of the Van der Pol oscillator". ZAMM. 83 (9). Wiley: 611–615. Bibcode:2003ZaMM...83..611P. doi:10.1002/zamm.200310040. ISSN 0044-2267. S2CID 120504403.
Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.
Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.

ncbi.nlm.nih.gov

FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.

nytimes.com (Global: 7^th place; English: 7^th place)

Colman, David (11 July 2011). "There's No Quiet Without Noise". New York Times. Retrieved 11 July 2011.

oxfordjournals.org (Global: 1,389^th place; English: 2,996^th place)

jlms.oxfordjournals.org

Cartwright, M. L. (1960). "Balthazar Van Der Pol". Journal of the London Mathematical Society. s1-35 (3). Wiley: 367–376. doi:10.1112/jlms/s1-35.3.367. ISSN 0024-6107.

scholarpedia.org (Global: low place; English: low place)

Kanamaru, T., "Van der Pol oscillator", Scholarpedia, 2(1), 2202, (2007).

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

VAN DER POL, BALTH; VAN DER MARK, J. (1927). "Frequency Demultiplication". Nature. 120 (3019). Springer Science and Business Media LLC: 363–364. Bibcode:1927Natur.120..363V. doi:10.1038/120363a0. ISSN 0028-0836. S2CID 186244992.
Nagumo, J.; Arimoto, S.; Yoshizawa, S. (1962). "An Active Pulse Transmission Line Simulating Nerve Axon". Proceedings of the IRE. 50 (10). Institute of Electrical and Electronics Engineers (IEEE): 2061–2070. doi:10.1109/jrproc.1962.288235. ISSN 0096-8390. S2CID 51648050.
Cartwright, Julyan H. E.; Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste (1999). "Dynamics of Elastic Excitable Media". International Journal of Bifurcation and Chaos. 09 (11): 2197–2202. arXiv:chao-dyn/9905035. Bibcode:1999IJBC....9.2197C. doi:10.1142/s0218127499001620. ISSN 0218-1274. S2CID 9120223.
Panayotounakos, D.E.; Panayotounakou, N.D.; Vakakis, A.F. (2003-09-01). "On the lack of analytic solutions of the Van der Pol oscillator". ZAMM. 83 (9). Wiley: 611–615. Bibcode:2003ZaMM...83..611P. doi:10.1002/zamm.200310040. ISSN 0044-2267. S2CID 120504403.
Shah, Tirth; Chattopadhyay, Rohitashwa; Vaidya, Kedar; Chakraborty, Sagar (2015). "Conservative perturbation theory for nonconservative systems". Physical Review E. 92 (6) 062927. arXiv:1512.06758. Bibcode:2015PhRvE..92f2927S. doi:10.1103/physreve.92.062927. PMID 26764794. S2CID 14930486.
Chattopadhyay, Rohitashwa; Shah, Tirth; Chakraborty, Sagar (2018). "Finding the Hannay angle in dissipative oscillatory systems via conservative perturbation theory". Physical Review E. 97 (6) 062209. arXiv:1610.05218. Bibcode:2018PhRvE..97f2209C. doi:10.1103/PhysRevE.97.062209. PMID 30011548. S2CID 51635019.
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.

siam.org (Global: low place; English: 6,473^rd place)

epubs.siam.org

Andersen, C. M.; Geer, James F. (June 1982). "Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation". SIAM Journal on Applied Mathematics. 42 (3): 678–693. doi:10.1137/0142047. ISSN 0036-1399.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Verhulst, Ferdinand (1996). Nonlinear Differential Equations and Dynamical Systems. Universitext. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/978-3-642-61453-8. ISBN 978-3-540-60934-6.

worldcat.org (Global: 5^th place; English: 5^th place)

search.worldcat.org

Cartwright, M. L. (1960). "Balthazar Van Der Pol". Journal of the London Mathematical Society. s1-35 (3). Wiley: 367–376. doi:10.1112/jlms/s1-35.3.367. ISSN 0024-6107.
van der Pol, Balth. (1926). "On "relaxation-oscillations"". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 2 (11). Informa UK Limited: 978–992. doi:10.1080/14786442608564127. ISSN 1941-5982.
VAN DER POL, BALTH; VAN DER MARK, J. (1927). "Frequency Demultiplication". Nature. 120 (3019). Springer Science and Business Media LLC: 363–364. Bibcode:1927Natur.120..363V. doi:10.1038/120363a0. ISSN 0028-0836. S2CID 186244992.
FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.
Nagumo, J.; Arimoto, S.; Yoshizawa, S. (1962). "An Active Pulse Transmission Line Simulating Nerve Axon". Proceedings of the IRE. 50 (10). Institute of Electrical and Electronics Engineers (IEEE): 2061–2070. doi:10.1109/jrproc.1962.288235. ISSN 0096-8390. S2CID 51648050.
Cartwright, Julyan H. E.; Eguíluz, Víctor M.; Hernández-García, Emilio; Piro, Oreste (1999). "Dynamics of Elastic Excitable Media". International Journal of Bifurcation and Chaos. 09 (11): 2197–2202. arXiv:chao-dyn/9905035. Bibcode:1999IJBC....9.2197C. doi:10.1142/s0218127499001620. ISSN 0218-1274. S2CID 9120223.
Lucero, Jorge C.; Schoentgen, Jean (2013). Modeling vocal fold asymmetries with coupled van der Pol oscillators. Proceedings of Meetings on Acoustics. Vol. 19. p. 060165. doi:10.1121/1.4798467. ISSN 1939-800X.
Panayotounakos, D.E.; Panayotounakou, N.D.; Vakakis, A.F. (2003-09-01). "On the lack of analytic solutions of the Van der Pol oscillator". ZAMM. 83 (9). Wiley: 611–615. Bibcode:2003ZaMM...83..611P. doi:10.1002/zamm.200310040. ISSN 0044-2267. S2CID 120504403.
Andersen, C. M.; Geer, James F. (June 1982). "Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van Der Pol Equation". SIAM Journal on Applied Mathematics. 42 (3): 678–693. doi:10.1137/0142047. ISSN 0036-1399.
Bender, Carl M. (1999). Advanced mathematical methods for scientists and engineers I: asymptotic methods and perturbation theory. Steven A. Orszag. New York, NY. ISBN 978-1-4757-3069-2. OCLC 851704808.{{cite book}}: CS1 maint: location missing publisher (link)
Grimshaw, R. (1993). Nonlinear ordinary differential equations. Boca Raton, Fla.: CRC Press. pp. 161–163. ISBN 0-8493-8607-1. OCLC 28275539.
Zonneveld, J.A. (1966). "Periodic solutions of the Van der Pol equation". Indagationes Mathematicae (Proceedings). 69: 620–622. doi:10.1016/s1385-7258(69)50068-x. ISSN 1385-7258.
Strogatz, Steven (2019). "Example 8.4.1". Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (2nd ed.). Boca Raton. ISBN 978-0-367-09206-1. OCLC 1112373147.{{cite book}}: CS1 maint: location missing publisher (link)
Chia, A.; Kwek, L. C.; Noh, C. (2020-10-16). "Relaxation oscillations and frequency entrainment in quantum mechanics". Physical Review E. 102 (4) 042213. arXiv:1711.07376. Bibcode:2020PhRvE.102d2213C. doi:10.1103/physreve.102.042213. ISSN 2470-0045. PMID 33212685. S2CID 224801468.
Walter, Stefan; Nunnenkamp, Andreas; Bruder, Christoph (2014-03-06). "Quantum Synchronization of a Driven Self-Sustained Oscillator". Physical Review Letters. 112 (9) 094102. arXiv:1307.7044. Bibcode:2014PhRvL.112i4102W. doi:10.1103/physrevlett.112.094102. ISSN 0031-9007. PMID 24655255. S2CID 7950471.
Lee, Tony E.; Sadeghpour, H. R. (2013-12-04). "Quantum Synchronization of Quantum van der Pol Oscillators with Trapped Ions". Physical Review Letters. 111 (23) 234101. arXiv:1306.6359. Bibcode:2013PhRvL.111w4101L. doi:10.1103/physrevlett.111.234101. ISSN 0031-9007. PMID 24476274. S2CID 33622111.
Cartwright, M. L.; Littlewood, J. E. (1945). "On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y 2 )y˙ + y = b λk cos(λl + α), k Large". Journal of the London Mathematical Society. s1-20 (3). Wiley: 180–189. doi:10.1112/jlms/s1-20.3.180. ISSN 0024-6107.

Van der Pol oscillator (English Wikipedia)

aip.org (Global: 2,204th place; English: 1,735th place)

scitation.aip.org

aps.org (Global: 1,503rd place; English: 1,378th place)

journals.aps.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 69th place; English: 59th place)

bdtoolbox.org (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

nih.gov (Global: 4th place; English: 4th place)

pubmed.ncbi.nlm.nih.gov

ncbi.nlm.nih.gov

nytimes.com (Global: 7th place; English: 7th place)

oxfordjournals.org (Global: 1,389th place; English: 2,996th place)

jlms.oxfordjournals.org

scholarpedia.org (Global: low place; English: low place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

siam.org (Global: low place; English: 6,473rd place)

epubs.siam.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

aip.org (Global: 2,204^th place; English: 1,735^th place)

aps.org (Global: 1,503^rd place; English: 1,378^th place)

archive.org (Global: 6^th place; English: 6^th place)

arxiv.org (Global: 69^th place; English: 59^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

harvard.edu (Global: 18^th place; English: 17^th place)

nih.gov (Global: 4^th place; English: 4^th place)

nytimes.com (Global: 7^th place; English: 7^th place)

oxfordjournals.org (Global: 1,389^th place; English: 2,996^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

siam.org (Global: low place; English: 6,473^rd place)

springer.com (Global: 274^th place; English: 309^th place)

worldcat.org (Global: 5^th place; English: 5^th place)