Analysis of a fractional order Van der Pol-like oscillator via describing function method

被引：32
|
作者：
Attari, Mina [1 ]
Haeri, Mohammad [1 ]
Tavazoei, Mohammad Saleh [1 ]
机构：
[1] Sharif Univ Technol, Dept Elect Engn, Adv Control Syst Lab, Tehran, Iran
来源：
NONLINEAR DYNAMICS | 2010年 / 61卷 / 1-2期
关键词：
Fractional Van der Pol oscillator; Describing function method; Oscillatory parametric region; Harmonic balance; SINUSOIDAL OSCILLATORS; STABILITY ANALYSIS; SYSTEMS; CHAOS; IDENTIFICATION;
D O I：
10.1007/s11071-009-9647-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, the behavior of a fractional order Van der Pol-like oscillator is investigated using a describing function method. A parametric function for the boundary between oscillatory and nonoscillatory regions of this system is extracted. The analytical results are evaluated by numerical simulations which demonstrate sufficient reliability of the proposed analyzing method.
引用
收藏
页码：265 / 274
页数：10
相关论文
共 50 条
  • [1] Analysis of a fractional order Van der Pol-like oscillator via describing function method
    Mina Attari
    Mohammad Haeri
    Mohammad Saleh Tavazoei
    Nonlinear Dynamics, 2010, 61 : 265 - 274
  • [2] Bifurcations in Van der Pol-Like Systems
    Aybar, Orhan Ozgur
    Aybar, Ilknur Kusbeyzi
    Hacinliyan, Avadis Simon
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [3] Analysis of fractional order Bonhoeffer-van der Pol oscillator
    Gafiychuk, V.
    Datsko, B.
    Meleshko, V.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (2-3) : 418 - 424
  • [4] Analysis of the van der pol oscillator containing derivatives of fractional order
    Barbosa, Ramiro S.
    Machado, J. A. Tenreiro
    Vinagre, B. M.
    Calderon, A. J.
    JOURNAL OF VIBRATION AND CONTROL, 2007, 13 (9-10) : 1291 - 1301
  • [5] More Details on Analysis of Fractional-order Van der Pol Oscillator
    Tavazoei, Mohammad S.
    Haeri, Mohammad
    Attari, Mina
    Bolouki, Sadegh
    Siami, Milad
    JOURNAL OF VIBRATION AND CONTROL, 2009, 15 (06) : 803 - 819
  • [6] Dynamics of the fractional-order Van der Pol oscillator
    Barbosa, RS
    Machado, JAT
    Ferreira, IM
    Tar, JK
    ICCC 2004: SECOND IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL CYBERNETICS, PROCEEDINGS, 2004, : 373 - 378
  • [7] Analysis on limit cycle of fractional-order van der Pol oscillator
    Shen, Yongjun
    Yang, Shaopu
    Sui, Chuanyi
    CHAOS SOLITONS & FRACTALS, 2014, 67 : 94 - 102
  • [8] Time analysis of forced variable-order fractional Van der Pol oscillator
    Moghaddam, Behrouz Parsa
    Tenreiro Machado, Jose Antnio
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2017, 226 (16-18): : 3803 - 3810
  • [9] Stochastic response of fractional-order van der Pol oscillator
    Chen, Lincong
    Zhu, Weiqiu
    THEORETICAL AND APPLIED MECHANICS LETTERS, 2014, 4 (01)
  • [10] Primary resonance of fractional-order van der Pol oscillator
    Shen, Yong-Jun
    Wei, Peng
    Yang, Shao-Pu
    NONLINEAR DYNAMICS, 2014, 77 (04) : 1629 - 1642
12345