Synchronization via active control of identical and non-identical Φ6 chaotic oscillators with external excitation

被引：26
|
作者：
Njah, A. N. [1 ]
机构：
[1] Univ Agr Abeokuta, Nonlinear Dynam Res Grp, Dept Phys, Abeokuta, Nigeria
来源：
JOURNAL OF SOUND AND VIBRATION | 2009年 / 327卷 / 3-5期
关键词：
WELL DUFFING OSCILLATOR; DER-POL OSCILLATORS; DYNAMICAL-SYSTEMS; COUPLED VAN; LORENZ; DELAY; BIFURCATIONS; ATTRACTORS; STABILITY; FEEDBACK;
D O I：
10.1016/j.jsv.2009.07.015
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Using the active control technique with Lyapunov stability theory and the Routh-Hurwitz criteria, control functions are designed to achieve complete synchronization between two identical Phi(6) Van der Pol oscillators (Phi(6)-VDPOs), two identical Phi(6) Duffing oscillators (Phi(6)-DOs), and two non-identical Phi(6) oscillators comprising Phi(6)-VDPO and Phi(6)-DO for the triple-well configuration of the Phi(6) potential. The coefficient matrix of the error dynamics between each pair of synchronized systems is chosen such that the number of active control functions reduces from two to one, thereby, significantly reducing controller complexity in the design. The designed controllers enable the state variables of the response system to synchronize with those of the drive system in both the identical and non-identical cases. The results are validated using numerical simulations. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：322 / 332
页数：11
相关论文
共 50 条
  • [21] Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
    Odibat, Zaid M.
    NONLINEAR DYNAMICS, 2010, 60 (04) : 479 - 487
  • [22] Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
    Zaid M. Odibat
    Nonlinear Dynamics, 2010, 60 : 479 - 487
  • [23] Synchronization of non-identical chaotic systems:: an exponential dichotomies approach
    Acosta, A
    García, P
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (43): : 9143 - 9151
  • [24] Synchronization of two identical and non-identical Rulkov models
    Sun, Huijing
    Cao, Hongjun
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 40 : 15 - 27
  • [25] Synchronization, anti-synchronization and current transports in non-identical chaotic ratchets
    Vincent, U. E.
    Laoye, J. A.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 384 (02) : 230 - 240
  • [26] Chaos Controllability in Non-Identical Complex Fractional Order Chaotic Systems via Active Complex Synchronization Technique
    Sajid, Mohammad
    Chaudhary, Harindri
    Kaushik, Santosh
    AXIOMS, 2023, 12 (06)
  • [27] Localization in systems of non-identical oscillators
    Z Angew Math Mech ZAMM, Suppl 2 (441):
  • [28] Localization in systems of non-identical oscillators
    Kuske, R
    Erneux, T
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 441 - 444
  • [29] Complex dynamics and synchronization in two non-identical chaotic ecological systems
    Upadhyay, Ranjit Kumar
    Rai, Vikas
    CHAOS SOLITONS & FRACTALS, 2009, 40 (05) : 2233 - 2241
  • [30] Generalized projective synchronization of an array of non-identical coupled chaotic systems
    Gong, Huichao
    Chen, Xiangyong
    Xu, Chunhua
    Jing, Yuanwei
    Qiu, Jianlong
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 119 - 123
12345