Generating chaotic behavior in an oscillator driven by periodic forces

被引：17
|
作者：
Konishi, K [1 ]
机构：
[1] Future Univ Hakodate, Dept Complex Syst, Hakodate, Hokkaido 0418655, Japan
来源：
PHYSICS LETTERS A | 2003年 / 320卷 / 2-3期
关键词：
anticontrol; chaos; oscillator; feedback control;
D O I：
10.1016/j.physleta.2003.11.024
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The damped harmonic oscillator driven by sinusoidal forces has been considered one of the most important and fundamental non-autonomous systems. This Letter proposes a nonlinear feedback controller that generates chaotic behavior in an oscillator driven by sinusoidal forces. The proposed controller, which consists of a nonlinear map and a sample-hold device, can be designed using a systematic procedure, and works well for any periodic force that can be transformed into the Fourier series expansion. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：200 / 206
页数：7
相关论文
共 50 条
  • [41] Chaotic RF pulses generated by a periodically driven oscillator
    Atanov, N. V.
    Dmitriev, A. S.
    Efremova, E. V.
    Maksimov, N. A.
    TECHNICAL PHYSICS LETTERS, 2006, 32 (08) : 645 - 646
  • [42] Chaotic RF pulses generated by a periodically driven oscillator
    N. V. Atanov
    A. S. Dmitriev
    E. V. Efremova
    N. A. Maksimov
    Technical Physics Letters, 2006, 32 : 645 - 646
  • [43] Resonance phenomena in a harmonic oscillator driven by the chaotic force
    Kokushikan Univ, Tokyo, Japan
    Phys A Stat Theor Phys, 1-2 (371-385):
  • [44] Chaotic behavior and multistability of a tree trunk structure driven by self-and parametric hydrodynamic forces
    Adechinan, A. J.
    Kpomahou, Y. J. F.
    Adeyemi, C.
    PHYSICA SCRIPTA, 2024, 99 (11)
  • [45] ANALYTICAL CONDITION FOR CHAOTIC BEHAVIOR OF THE DUFFING OSCILLATOR
    KAPITANIAK, T
    PHYSICS LETTERS A, 1990, 144 (6-7) : 322 - 324
  • [46] Bifurcation and chaotic behavior in the discrete BVP oscillator
    Zhao, Ming
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2021, 131
  • [47] Approach to the periodic and chaotic behaviour of the impact oscillator by a continuation method
    Gontier, C
    Toulemonde, C
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 1997, 16 (01) : 141 - 163
  • [48] Approach to the periodic and chaotic behaviour of the impact oscillator by a continuation method
    Ecole Centrale de Paris, Chatenay-Malabry, France
    Eur J Mech A Solids, 1 (141-163):
  • [49] Estimating generating partitions of chaotic systems by unstable periodic orbits
    Davidchack, RL
    Lai, YC
    Bollt, EM
    Dhamala, M
    PHYSICAL REVIEW E, 2000, 61 (02): : 1353 - 1356
  • [50] Estimating generating partitions of chaotic systems by unstable periodic orbits
    Davidchack, Ruslan L.
    Lai, Ying-Cheng
    Bollt, Erik M.
    Dhamala, Mukeshwar
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (02): : 1353 - 1356
12345