Asymptotically stable periodic orbits of a coupled electromechanical system

被引：0
|
作者：
M. J. H. Dantas
R. Sampaio
R. Lima
机构：
[1] Universidade Federal de Uberlândia,Faculdade de Matemática
[2] PUC-Rio,Mechanical Engineering Department
来源：
Nonlinear Dynamics | 2014年 / 78卷
关键词：
Electromechanical system; Parametric excitation; Periodic orbit; Regular perturbation theory; Asymptotic stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper an electromechanical system is analyzed. The existence and asymptotic stability of a periodic orbit are obtained in a mathematically rigorous way as well as an expansion of the period by using an adequate small parameter. For the analytical results the main tool used is the regular perturbation theory. Some results, such as the growing of the period according to some powers of the parameters and the relation 2:1 between the period of the cart, which is a part of the electromechanical system, and the period of the current, are compatible with earlier numerical findings.
引用
收藏
页码：29 / 35
页数：6
相关论文
共 50 条
  • [31] Stable lamprey swimming on a skeleton of unstable periodic orbits
    Department of Biology, University of Maryland, College Park, MD 20742, United States
    不详
    不详
    Neurocomputing, (779-788):
  • [32] Describing Robotic Bat Flight with Stable Periodic Orbits
    Ramezani, Alireza
    Ahmed, Syed Usman
    Hoff, Jonathan
    Chung, Soon-Jo
    Hutchinson, Seth
    BIOMIMETIC AND BIOHYBRID SYSTEMS, LIVING MACHINES 2017, 2017, 10384
  • [33] Stable lamprey swimming on a skeleton of unstable periodic orbits
    Lesher, S
    Spano, ML
    Mellen, NM
    Guan, L
    Dykstra, S
    Cohen, AH
    NEUROCOMPUTING, 1999, 26-7 : 779 - 788
  • [34] On the effect of invisibility of stable periodic orbits at homoclinic bifurcations
    Gonchenko, S. V.
    Ovsyannikov, I. I.
    Turaev, D.
    PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (13) : 1115 - 1122
  • [35] Positive Homoclinic orbits for a class of asymptotically periodic second order differential equations
    Wang W.
    Wu S.
    Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (1) : 7 - 12
  • [36] Stable periodic orbits for the Mackey-Glass equation
    Bartha, Ferenc A.
    Krisztin, Tibor
    Vigh, Alexandra
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 296 : 15 - 49
  • [37] Stable lamprey swimming on a skeleton of unstable periodic orbits
    Lesher, S
    Spano, ML
    Mellen, NM
    Guan, L
    Dykstra, S
    Cohen, AH
    COMPUTATIONA L NEUROSCIENCE: TRENDS IN RESEARCH 1999, 1999, : 779 - 788
  • [38] Stable periodic orbits in the theory of primary cosmic radiation
    Banos, A
    Uribe, H
    Lifshitz, J
    REVIEWS OF MODERN PHYSICS, 1939, 11 (3/4) : 0137 - 0148
  • [39] Periodic orbits from Δ-modulation of stable linear systems
    Xia, XH
    Zinober, ASI
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (08) : 1376 - 1380
  • [40] Delay stabilization of periodic orbits in coupled oscillator systems
    Fiedler, B.
    Flunkert, V.
    Hoevel, P.
    Schoell, E.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2010, 368 (1911): : 319 - 341
12345