跳至主要内容

Adaptive Isochronal Synchronization in Mutually Coupled Chaotic Systems

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54193#.VPAx_CzQrzE

Author(s)  
This paper studies the problem of isochronal synchronization of chaotic systems with time-delayed mutual coupling. Based on the invariance principle of differential equations, an adaptive feedback scheme is proposed for the stability of isochronal synchronization between two identical chaotic systems. Unlike the usual linear feedback, the variable feedback strength is automatically adapted to isochronally synchronize two identical chaotic systems with delay-coupled, so this scheme is analytical, and simple to implement in practice. Simulation results show that the isochronal synchronization behavior is determined by time delay.
Cite this paper
Lin, D. , Song, H. , Yao, Y. and Zhang, F. (2015) Adaptive Isochronal Synchronization in Mutually Coupled Chaotic Systems. Journal of Modern Physics, 6, 150-156. doi: 10.4236/jmp.2015.62020
 

[1] Blekhman, I.I. (1988) Synchronization in Science and Technology. ASME Press, New York.
[2] Pikovsky, A., Rosenblum, M. and Kurths, J. (2001) Synchronization: A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge, UK.
http://dx.doi.org/10.1017/CBO9780511755743
[3] Boccaletti, S., Kurths, J., Osipov, G., Valladaress, D.L. and Zhou, C.S. (2002) Physics Reports, 366, 1-101.
http://dx.doi.org/10.1016/S0370-1573(02)00137-0
[4] Miranda, J.M.G. (2004) Synchronization and Control of Chaos: An Introduction for Scientists and Engineers. Imperial College Press, London.
[5] Khordad, R., Dehghani, M.A. and Dehghani, A. (2014) International Journal of Modern Physics C, 25, Article ID: 1350085.
http://dx.doi.org/10.1142/S012918311350085X
[6] Chen, K.Y., Tung, P.C., Lin, S.L. and Tsai, M.T. (2011) International Journal of Modern Physics C, 22, 1409-1418.
http://dx.doi.org/10.1142/S0129183111017007
[7] Rakkiyappan, R., Sivasamy, R. and Lakshmanan, S. (2014) Chinese Physics B, 23, Article ID: 060504.
http://dx.doi.org/10.1088/1674-1056/23/6/060504
[8] Li, P., Yi, Z. and Zhang, L. (2006) Choas, Solitons & Fractals, 30, 903-908.
http://dx.doi.org/10.1016/j.chaos.2005.08.169
[9] Wagemakers, A., Buldu, J.M. and Sanjuan, M.A.F. (2007) Chaos, 17, Article ID: 023128.
http://dx.doi.org/10.1063/1.2737820
[10] Landsman, A. and Schwartz, I.B. (2007) Physical Review E, 75, Article ID: 026201.
http://dx.doi.org/10.1103/PhysRevE.75.026201
[11] Llein, E., Gross, N., Rosenbluh, M., Kinzel, W., Khaykovich, L. and Kanter, I. (2006) Physical Review E, 73, Article ID: 066214.
http://dx.doi.org/10.1103/PhysRevE.73.066214
[12] Zhou, B.B. and Roy, R. (2007) Physical Review E, 75, Article ID: 026205.
http://dx.doi.org/10.1103/PhysRevE.75.026205
[13] Grzybowski, J.M.V., Macau, E.E.N. and Yoneyama, T. (2011) Journal of Physics A: Mathematical and Theoretical, 44, Article ID: 175103.
http://dx.doi.org/10.1088/1751-8113/44/17/175103
[14] Avila, J.F.M. and Rios Leite, J.R. (2009) Optics Express, 17, 21442-21453.
http://dx.doi.org/10.1364/OE.17.021442
[15] Wagemakers, A., Buldu, J.M. and Sanjuan, M.A.F. (2008) Europhysics Letters, 81, Article ID: 40005.
http://dx.doi.org/10.1209/0295-5075/81/40005
[16] Illing, L., Panda, C.D. and Shareshian, L. (2011) Physical Review E, 84, Article ID: 016213.
http://dx.doi.org/10.1103/PhysRevE.84.016213
[17] Shuai, J.W., Wong, K.W. and Cheng, L.M. (1997) Physical Review E, 56, 2272-2275.
http://dx.doi.org/10.1103/PhysRevE.56.2272
[18] Barreto, E., So, P., Gluckman, B.J. and Schiff, S.J. (2000) Physical Review Letters, 84, 1689-1692.
http://dx.doi.org/10.1103/PhysRevLett.84.1689
[19] Lasalle, J.P. (1960) IRE Transaction Circuit Theory, 7, 520-527.
http://dx.doi.org/10.1109/TCT.1960.1086720
[20] Lorenz, E.N. (1963) Journal of the Atmospheric Sciences, 20, 130-144.
http://dx.doi.org/10.1175/1520-0469(1963)020           eww150227lx

评论

此博客中的热门博文

Electron Spin and Proton Spin in the Hydrogen and Hydrogen-Like Atomic Systems

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52202#.VIj7tMnQrzE Author(s) Stanisław Olszewski * Affiliation(s) Institute of Physical Chemistry, Polish Academy of Sciences, Warsaw, Poland . ABSTRACT The mechanical angular momentum and magnetic moment of the electron and proton spin have been calculated semiclassically with the aid of the uncertainty principle for energy and time. The spin effects of both kinds of the elementary particles can be expressed in terms of similar formulae. The quantization of the spin motion has been done on the basis of the old quantum theory. It gives a quantum number n = 1/2 as the index of the spin state acceptable for both the electron and proton ...

Fermented Brown Sugar Residue Prolongs the Caenorhabditis elegans Lifespan via DAF-16

Fermented brown sugar residue (FBSR) is generated in the course of purifying biomass ethanol from the yeast fermentation products of brown sugar. It contains abundant nutrition and is used in various industrial applications including as fertilizer and feed. Meanwhile, brown sugar has attracted attention as a health food and is thought to prevent cardiovascular diseases, hypertension, and brain stem diseases. Furthermore, polyphenol, contained in brown sugar, reduces oxidative stress and inhibits glucose absorption. DAF-16 is a transcription factor regulated downstream of the insulin signaling pathway and is one of the main factors contributing to aging and lifespan in C. elegans . Therefore, to determine the precise roles of the DAF-16 transcription factor in stress tolerance and life span, it is necessary to elucidate the signaling pathways involved in DAF-16 activation. This study was designed to elucidate the molecular mechanisms controlling the physiological stress toleran...

Effects of Karate Training on Basic Motor Abilities of Primary School Children

“You never attack first in karate” might be the best conclusion of karate, which is a martial art practiced typically without weapons. It’s reported that karate has a long history for several hundred years, but the modern karate was spread to the whole Japan from Okinawa in the early part of 20th century. Now it has become one of the most widely practiced martial art forms in the world. Usually, it’s divided into Kihon, Kata and Kumite. As for the beginners, Kihon is more suitable for them because it involves basic techniques. Due to karate consists of dynamic offensive and defensive techniques using all parts of the body to their maximum advantage, the best understanding of true karate practice is the perfection of oneself through the perfection of the art. It not only develops coordination, quickens reflexes, and builds stamina, but also develops composure, a clearer thought process, deeper insight into one’s mental capabilities, and more self-confidence. So many researchers stu...