Synchronization with error bound of non-identical forced oscillators
Kybernetika, Tome 44 (2008) no. 4, pp. 534-545
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.
Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.
Classification : 34C15, 37D45, 70K40, 70K55, 70Q05, 74H65
Keywords: chaotic synchronization with error bound; non-identical forced oscillator; differential inequality; active control
@article{KYB_2008_44_4_a8,
     author = {Wang, Jiangen and Cai, Jianping and Ma, Mihua and Feng, Jiuchao},
     title = {Synchronization with error bound of non-identical forced oscillators},
     journal = {Kybernetika},
     pages = {534--545},
     year = {2008},
     volume = {44},
     number = {4},
     mrnumber = {2459071},
     zbl = {1173.70009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a8/}
}
TY  - JOUR
AU  - Wang, Jiangen
AU  - Cai, Jianping
AU  - Ma, Mihua
AU  - Feng, Jiuchao
TI  - Synchronization with error bound of non-identical forced oscillators
JO  - Kybernetika
PY  - 2008
SP  - 534
EP  - 545
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a8/
LA  - en
ID  - KYB_2008_44_4_a8
ER  - 
%0 Journal Article
%A Wang, Jiangen
%A Cai, Jianping
%A Ma, Mihua
%A Feng, Jiuchao
%T Synchronization with error bound of non-identical forced oscillators
%J Kybernetika
%D 2008
%P 534-545
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a8/
%G en
%F KYB_2008_44_4_a8
Wang, Jiangen; Cai, Jianping; Ma, Mihua; Feng, Jiuchao. Synchronization with error bound of non-identical forced oscillators. Kybernetika, Tome 44 (2008) no. 4, pp. 534-545. http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a8/

[1] Bai E. W., Lonngren K. E.: Sequential synchronization of two Lorenz systems using active control. Chaos, Solitons and Fractals 11 (2000), 1041–1044 | Zbl

[2] Cai J. P., Wu X. F., Chen S. H.: Synchronization criteria for non-autonomous chaotic systems vie sinusoidal state error feedback control. Physica Scripta 75 (2007), 379–387

[3] Chen H. K.: Chaotic and chaos synchronization of symmetric gyro with linear-plus-cubic damping. J. Sound Vibration 255 (2002), 719–740 | MR

[4] Chen L. J., Li J. B.: Chaotic behavior and subharmonic bifurcations for a rotating pendulum equation. Internat. J. Bifur. Chaos 14 (2004), 3477–3488 | MR | Zbl

[5] Haeri M., Emadzadeh A. A.: Comparative study of various methods for synchronizing two different chaotic systems. Phys. Lett. A 356 (2006), 59–64 | Zbl

[6] Ho M. C., Hung Y. C., Chou C. H.: Phase and anti-phase synchronization of two chaotic systems by using active control. Phys. Lett. A 296 (2002), 43–48 | Zbl

[7] Jiang G. P., Tang W. K. S., Chen G. R.: A simple global synchronization criterion for coupled chaotic systems. Chaos, Solitons and Fractals 15 (2003), 925–935 | MR | Zbl

[8] Li G. H.: Generalized projective synchronization of two chaotic systems by using active control. Chaos, Solitons and Fractals 30 (2006), 77–82 | Zbl

[9] Njah A. N., Vincent U. E.: Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control. Chaos, Solitons and Fractals, doi:10.1016/j.chaos.2006.10.038 | Zbl

[10] Pecora L. M. L.Carroll T.: Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990), 821–824 | MR | Zbl

[11] Sun F. Y.: Global chaos synchronization between two new different chaotic systems via active control. Chinese Phys. Lett. 23 (2006), 32–34

[12] Ucar A., Lonngren K. E., Bai E. W.: Chaos synchronization in RCL-shunted Josephson junction via active control. Chaos, Solitons and Fractals 31 (2007), 105–111

[13] Wang J. G., Zhao Y.: Chaotic synchronization of the master slave chaotic systems with different structures based on bang-bang control principle. Chinese Phys. Lett. 22 (2005), 2508–2510

[14] Wu X. F., Cai J. P., Wang M. H.: Master-slave chaos synchronization criteria for the horizontal platform systems via linear state error feedback control. J. Sound Vibration 295 (2006), 378-387 | MR

[15] Wu X. F., Cai J. P., Zhao Y.: Revision and improvement of a theorem for robust synchronization of nonidentical Lur’e systems. IEEE Trans. Circuits and Systems-II 52 (2005), 429–432

[16] Wu X. F., Cai J. P., Wang M. H.: Robust synchronization of chaotic horizontal platform systems with phase difference. J. Sound Vibration 305 (2007), 481–491 | MR

[17] al. Z. F. Zhang et: Qualitative Theory on Differential Equations. Science Press, Beijing 2006 (in Chinese)