Control and synchronization in the Duffing-van der Pol and F6 Duffing oscillators

被引：0
|
作者：
Uriostegui-Legorreta, U. [1 ]
Tututi, E. S. [1 ]
机构：
[1] UMSNH, Fac Ciencias Fisico Matemat, Ave Francisco J Muj S-N, Morelia Michoacan 58060, Mexico
来源：
INDIAN JOURNAL OF PHYSICS | 2023年 / 97卷 / 14期
关键词：
Nonlinear dynamics; Control of chaos; Nonlinear oscillators; Synchronization; ANTI-SYNCHRONIZATION; DYNAMICS;
D O I：
10.1007/s12648-023-02765-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, a master-slave configuration is studied to obtain synchronization between the Duffing-van der Pol oscillator with asymmetric potential and the F-6 Duffing oscillator. For this configuration, we compare the systems when the dissipative coupling and one that combines the elastic and dissipative couplings are used. We analyze the coupling strength to find the range where synchronization between the oscillators is achieved. We found synchronization between the oscillators for large values of the coupling strength. The numerical results demonstrate that for the dissipative coupling exits partial synchronization while for the other exits complete synchronization.
引用
收藏
页码：4303 / 4315
页数：13
相关论文
共 50 条
  • [41] Lyapunov exponents and stability for the stochastic duffing-van der Pol oscillator
    Baxendale, PH
    IUTAM SYMPOSIUM ON NONLINEAR STOCHASTIC DYNAMICS, 2003, 110 : 125 - 135
  • [42] Analytical solution for Van der Pol-Duffing oscillators
    Kimiaeifar, A.
    Saidi, A. R.
    Bagheri, G. H.
    Rahimpour, M.
    Domairry, D. G.
    CHAOS SOLITONS & FRACTALS, 2009, 42 (05) : 2660 - 2666
  • [43] INFLUENCE OF NOISE ON DUFFING-VAN-DER POL OSCILLATORS
    EBELING, W
    HERZEL, H
    RICHERT, W
    SCHIMANSKYGEIER, L
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1986, 66 (03): : 141 - 146
  • [44] 扩展Duffing-Van der Pol系统混沌同步研究
    裴利军
    李战国
    洛阳大学学报, 2007, (04) : 15 - 20
  • [45] First Integrals and Solutions of Duffing-Van der Pol Type Equations
    Udwadia, Firdaus E.
    Cho, Hancheol
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2014, 81 (03):
  • [46] P-bifurcations in the noisy Duffing-van der Pol equation
    Liang, Y
    Namachchivaya, NS
    STOCHASTIC DYNAMICS, 1999, : 49 - 70
  • [47] HOMOTOPY PERTURBATION METHOD TO SOLVE DUFFING-VAN DER POL EQUATION
    Moussa, Bagayogo
    Youssouf, Minoungou
    Wassiha, Nebie Abdoul
    Youssouf, Pare
    ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2024, 31 (03): : 299 - 315
  • [48] Statistical dynamics at critical bifurcations in Duffing-van der Pol oscillator
    V. Chinnathambi
    S. Rajasekar
    Pramana, 1999, 52 : 561 - 577
  • [49] Resonance Analysisfor Weakly Nonlinear Duffing-van der Pol Oscillation
    Chen, Songlin
    Wang, Nannan
    IAENG International Journal of Applied Mathematics, 2024, 54 (02) : 238 - 242
  • [50] 双势阱Duffing-Van der Pol系统反馈同步
    张香伟
    王建平
    河南科学, 2010, 28 (10) : 1225 - 1229
12345