Bifurcations and multistability of the oscillations of a three-dimensional system

被引：5
|
作者：
Martynyuk A.A. [1 ]
Nikitina N.V. [1 ]
机构：
[1] S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St, Kyiv
来源：
International Applied Mechanics | 2015年 / 51卷 / 2期
关键词：
Bifurcation; Chaos; Multistable system; Nonlinear monotonic systems;
D O I：
10.1007/s10778-015-0687-5
中图分类号：
学科分类号：
摘要：
A generator with inertial nonlinearity is considered. The bifurcations are illustrated by simple examples using the comparison method and Lyapunov functions. © 2015, Springer Science+Business Media New York.
引用
收藏
页码：223 / 232
页数：9
相关论文
共 50 条
  • [31] Bifurcations and multistability in a food chain model with nanoparticles
    Hossain, Mainul
    Pati, N. C.
    Pal, Saheb
    Rana, Sourav
    Pal, Nikhil
    Layek, G. C.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 190 : 808 - 825
  • [32] Shilnikov sense chaos in a simple three-dimensional system
    Wang Wei
    Zhang Qi-Chang
    Tian Rui-Lan
    CHINESE PHYSICS B, 2010, 19 (03)
  • [33] Shilnikov sense chaos in a simple three-dimensional system
    王炜
    张琪昌
    田瑞兰
    Chinese Physics B, 2010, (03) : 211 - 220
  • [34] A THREE-DIMENSIONAL NONLINEAR SYSTEM WITH A SINGLE HETEROCLINIC TRAJECTORY
    Li, Xianyi
    Wang, Haijun
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (01): : 249 - 266
  • [35] Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized henon maps
    Gonchenko, S. V.
    Gonchenko, V. S.
    Tatjer, J. C.
    REGULAR & CHAOTIC DYNAMICS, 2007, 12 (03) : 233 - 266
  • [36] A three-dimensional steady-state tumor system
    Hao, Wenrui
    Hauenstein, Jonathan D.
    Hu, Bei
    Sommese, Andrew J.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) : 2661 - 2669
  • [37] The generation of a hyperchaotic system based on a three-dimensional autonomous chaotic system
    Wang Jie-Zhi
    Chen Zeng-Qiang
    Yuan Zhu-Zhi
    CHINESE PHYSICS, 2006, 15 (06): : 1216 - 1225
  • [38] Multistability, Infection-Induced Bifurcations and Chaos in a Discrete Population Model with Treatment
    Ryashko, Lev
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2025, 35 (06):
  • [39] Bursting Oscillations and the Mechanism with Sliding Bifurcations in a Filippov Dynamical System
    Qu, Rui
    Wang, Yu
    Wu, Guoqing
    Zhang, Zhengdi
    Bi, Qinsheng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (12):
  • [40] Nonlinear Oscillations of Nonlinear Damping Gyros: Resonances, Hysteresis and Multistability
    Miwadinou, C. H.
    Monwanou, A. V.
    Hinvi, L. A.
    Tamba, V. Kamdoum
    Koukpemedji, A. A.
    Chabi Orou, J. B.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (14):
12345