Abundance of Mode-Locking for Quasiperiodically Forced Circle Maps
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/content/pdf/10.1007/s00220-017-2870-5.pdf
Reference29 articles.
1. Katok A., Hasselblatt. B.: Introduction to the Modern Theory of Dynamical Systems. Cambridge University Press, Cambridge (1997)
2. Ding E.J.: Analytic treatment of periodic orbit systematics for a nonlinear driven oscillator. Phys. Rev. A 34(4), 3547 (1986)
3. Arnold, V.I.: Cardiac arrythmias and circle mappings. Chaos, 1(1), 20–24, 1991. These results were already contained in the authors 1959 PhD thesis at the Moscow University, but were omitted in the published version of that work (Am. Math. Soc. Transl. 46(2), 213–284) (1965)
4. Perkel D.H., Schulman J.H., Bullock T.H., Moore G.P., Segundo J.P.: Pacemaker neurons: effects of regularly spaced synaptic input. Science 145, 61–63 (1964)
5. Coombes S., Bressloff P.C.: Mode locking and arnold tongues in integrate-and-fire neural oscillators. Phys. Rev. E 60(2), 2086 (1999)
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Density of mode-locking property for quasi-periodically forced Arnold circle maps;Ergodic Theory and Dynamical Systems;2024-04-04
2. Quantitative Almost Reducibility and Möbius Disjointness for Analytic Quasiperiodic Schrödinger Cocycles;Peking Mathematical Journal;2023-11-30
3. On topological genericity of the mode-locking phenomenon;Mathematische Annalen;2020-01-02
4. Genericity of mode-locking for quasiperiodically forced circle maps;Advances in Mathematics;2019-05
5. Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition;Communications in Mathematical Physics;2017-12-02
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3