Arnold tongue (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Arnold tongue" in English language version.

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ams.org

bookstore.ams.org

Translation to english of Arnold's paper: S. Adjan; V. I. Arnol'd; S. P. Demuškin; Ju. S. Gurevič; S. S. Kemhadze; N. I. Klimov; Ju. V. Linnik; A. V. Malyšev; P. S. Novikov; D. A. Suprunenko; V. A. Tartakovskiĭ; V. Tašbaev. Eleven Papers on Number Theory, Algebra and Functions of a Complex Variable. Vol. 46. American Mathematical Society Translations Series 2.

arxiv.org

Jensen, M.H.; Krishna, S. (2012). "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli". FEBS Letters. 586 (11): 1664–1668. arXiv:1112.6093. doi:10.1016/j.febslet.2012.04.044. PMID 22673576. S2CID 2959093.

doi.org

Jensen, M.H.; Krishna, S. (2012). "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli". FEBS Letters. 586 (11): 1664–1668. arXiv:1112.6093. doi:10.1016/j.febslet.2012.04.044. PMID 22673576. S2CID 2959093.
Gérard, C.; Goldbeter, A. (2012). "The cell cycle is a limit cycle". Mathematical Modelling of Natural Phenomena. 7 (6): 126–166. doi:10.1051/mmnp/20127607.
Glass, L. (2001). "Synchronization and rhythmic processes in physiology". Nature. 410 (6825): 277–284. Bibcode:2001Natur.410..277G. doi:10.1038/35065745. PMID 11258383. S2CID 4379463.
Glass, L.; Perez, R. (1982). "Fine structure of phase locking". Physical Review Letters. 48 (26): 1772. Bibcode:1982PhRvL..48.1772G. doi:10.1103/PhysRevLett.48.1772.
Guevara, M.R.; Glass, L. (1982). "Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias". Journal of Mathematical Biology. 14 (1): 1–23. CiteSeerX 10.1.1.476.8649. doi:10.1007/BF02154750. PMID 7077182. S2CID 2273911.
Romeira, B.; Figueiredo, J.M.; Ironside, C.N.; Slight, T. (2009). "Chaotic dynamics in resonant tunneling optoelectronic voltage controlled oscillators". IEEE Photonics Technology Letters. 21 (24): 1819–1821. Bibcode:2009IPTL...21.1819R. doi:10.1109/LPT.2009.2034129. S2CID 41327316.

harvard.edu

ui.adsabs.harvard.edu

Glass, L. (2001). "Synchronization and rhythmic processes in physiology". Nature. 410 (6825): 277–284. Bibcode:2001Natur.410..277G. doi:10.1038/35065745. PMID 11258383. S2CID 4379463.
Glass, L.; Perez, R. (1982). "Fine structure of phase locking". Physical Review Letters. 48 (26): 1772. Bibcode:1982PhRvL..48.1772G. doi:10.1103/PhysRevLett.48.1772.
Romeira, B.; Figueiredo, J.M.; Ironside, C.N.; Slight, T. (2009). "Chaotic dynamics in resonant tunneling optoelectronic voltage controlled oscillators". IEEE Photonics Technology Letters. 21 (24): 1819–1821. Bibcode:2009IPTL...21.1819R. doi:10.1109/LPT.2009.2034129. S2CID 41327316.

mathnet.ru

mi.mathnet.ru

Arnol'd, V.I. (1961). "Small denominators. I. Mapping the circle onto itself". Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya. 25 (1): 21–86. Section 12 in page 78 has a figure showing Arnold tongues.

nih.gov

pubmed.ncbi.nlm.nih.gov

Jensen, M.H.; Krishna, S. (2012). "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli". FEBS Letters. 586 (11): 1664–1668. arXiv:1112.6093. doi:10.1016/j.febslet.2012.04.044. PMID 22673576. S2CID 2959093.
Glass, L. (2001). "Synchronization and rhythmic processes in physiology". Nature. 410 (6825): 277–284. Bibcode:2001Natur.410..277G. doi:10.1038/35065745. PMID 11258383. S2CID 4379463.
Guevara, M.R.; Glass, L. (1982). "Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias". Journal of Mathematical Biology. 14 (1): 1–23. CiteSeerX 10.1.1.476.8649. doi:10.1007/BF02154750. PMID 7077182. S2CID 2273911.

psu.edu

citeseerx.ist.psu.edu

Guevara, M.R.; Glass, L. (1982). "Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias". Journal of Mathematical Biology. 14 (1): 1–23. CiteSeerX 10.1.1.476.8649. doi:10.1007/BF02154750. PMID 7077182. S2CID 2273911.

semanticscholar.org

api.semanticscholar.org

Jensen, M.H.; Krishna, S. (2012). "Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli". FEBS Letters. 586 (11): 1664–1668. arXiv:1112.6093. doi:10.1016/j.febslet.2012.04.044. PMID 22673576. S2CID 2959093.
Glass, L. (2001). "Synchronization and rhythmic processes in physiology". Nature. 410 (6825): 277–284. Bibcode:2001Natur.410..277G. doi:10.1038/35065745. PMID 11258383. S2CID 4379463.
Guevara, M.R.; Glass, L. (1982). "Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias". Journal of Mathematical Biology. 14 (1): 1–23. CiteSeerX 10.1.1.476.8649. doi:10.1007/BF02154750. PMID 7077182. S2CID 2273911.
Romeira, B.; Figueiredo, J.M.; Ironside, C.N.; Slight, T. (2009). "Chaotic dynamics in resonant tunneling optoelectronic voltage controlled oscillators". IEEE Photonics Technology Letters. 21 (24): 1819–1821. Bibcode:2009IPTL...21.1819R. doi:10.1109/LPT.2009.2034129. S2CID 41327316.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric. "Map Winding Number". MathWorld. Retrieved 20 June 2016.