RETRACTED: Lorenz-like attractors in a nonholonomic model of a rattleback (Retracted article. See vol. 30, pg. C3-C3, 2017)

被引：3
|
作者：
Gonchenko, A. S. [1 ]
Gonchenko, S. V. [1 ]
机构：
[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia
来源：
NONLINEARITY | 2015年 / 28卷 / 09期
基金：
俄罗斯科学基金会;
关键词：
strange attractor; Lorenz attractor; Celtic stone; bifurcation; STRANGE ATTRACTORS; DYNAMICS; PLANE; MAPS;
D O I：
10.1088/0951-7715/28/9/3403
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study chaotic dynamics in a nonholonomic model of a rattleback stone. We show that, for certain values of parameters that characterise geometrical and physical properties of the stone, a strange Lorenz-like attractor is observed in the model. We also study bifurcation scenarios for the appearance and break-down of this attractor.
引用
收藏
页码：3403 / 3417
页数：15
相关论文
共 50 条
  • [1] RETRACTED: Synthesizing γ-graphyne (Retracted article. See vol. 3, pg. 1312, 2024)
    Haley, Michael M.
    NATURE SYNTHESIS, 2022, 1 (06): : 413 - 414
  • [2] RETRACTED: Proteasome inhibitors in glioblastoma (Retracted article. See vol. 14, pg. 6321, 2017)
    Huang, Wen-Juan
    Chen, Wei-Wei
    Zhang, Xia
    ONCOLOGY LETTERS, 2017, 13 (03) : 1058 - 1062
  • [3] RETRACTED: On graded distributive modules (Retracted article. See vol. 102, pg. 133, 2017)
    Zamani, N.
    MATHEMATICAL NOTES, 2008, 83 (3-4) : 485 - 491
  • [4] RETRACTED: Introduction (Retracted article. See vol. 58, pg. 254, 2020)
    Goubier, Frederic
    Roques, Magali
    VIVARIUM-AN INTERNATIONAL JOURNAL FOR THE PHILOSOPHY AND INTELLECTUAL LIFE OF THE MIDDLE AGES AND RENAISSANCE, 2017, 55 (1-3): : 1 - 8
  • [5] RETRACTED: Editorial (Retracted article. See vol. 44, pg. 479, 2021)
    Bomberg, Mark
    JOURNAL OF BUILDING PHYSICS, 2017, 41 (02) : 97 - 100
  • [6] RETRACTED: Fiscal Uncertainty and Currency Crises (Retracted article. See vol. 21, pg. 212, 2017)
    Gumus, Inci
    REVIEW OF DEVELOPMENT ECONOMICS, 2016, 20 (03) : 637 - 650
  • [7] RETRACTED: Many Europes: Rethinking multiplicity (Retracted article. See vol. 20, pg. 576, 2017)
    Biebuyck, William
    Rumford, Chris
    EUROPEAN JOURNAL OF SOCIAL THEORY, 2012, 15 (01) : 3 - 20
  • [8] RETRACTED: A Model for Ethical Reasoning (Retracted article. See vol. 22, pg. 420, 2018)
    Sternberg, Robert J.
    REVIEW OF GENERAL PSYCHOLOGY, 2012, 16 (04) : 319 - 326
  • [9] RETRACTED: Asymmetric Synthesis of Apratoxin E (Retracted article. See vol. 82, pg. 11310, 2017)
    Mao, Zhuo-Ya
    Si, Chang-Mei
    Liu, Yi-Wen
    Dong, Han-Qing
    Wei, Bang-Guo
    Lin, Guo-Qiang
    JOURNAL OF ORGANIC CHEMISTRY, 2016, 81 (20): : 9903 - 9911
  • [10] RETRACTED: Targeting EGFR in bladder cancer (Retracted article. See vol. 30, pg. 723, 2012)
    Villares, G. J.
    Zigler, M.
    Blehm, K.
    Bogdan, C.
    McConkey, D.
    Colin, D.
    Bar-Eli, Menashe
    WORLD JOURNAL OF UROLOGY, 2007, 25 (06) : 573 - 579
12345