Publication Cover
Applicable Analysis
An International Journal
Volume 82, 2003 - Issue 12
30
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Complete synchronization of symmetrically soupled sutonomous systems

&
Pages 1127-1143 | Received 10 Mar 2003, Published online: 12 May 2010

References

  • Pecora , L.M. and Carroll , T.L. 1996 . Synchronizing chaotic systems . IEEE Trans. Circuits Syst. , CS-38 : 453 – 456 .
  • Roy , R. and Thornburg , K.S. 1994 . Experimental synchronization of chaotic lasers . Phys. Rev. Lett. , 72 : 2009 – 2012 .
  • Wiesenfeld , K. and Hadley , P. 1989 . Attractor crowding in oscillator arrays . Phys. Rev. Lett. , 62 : 1335--1338
  • Wang , W. , Kiss , I.Z. and Hudson , J.L. 2000 . Experiments on arrays of globally coupled electrochemical oscillators: Synchronization and clustering . Chaos , 10 : 248 – 256 .
  • Mosekilde E. Maistrenko Yu. Postnov D. 2002 Chaotic synchronization. Applications to Living Systems 428 pp World Sci. Singapore
  • Pikovsky A. Rosenblum M. Kurths J. 2001 Synchronization: A Universal Concept in Nonlinear Sciences 411pp Cambridge University Press Cambridge
  • Fujisaka , H. and Yamada , T. 1983 . Stability theory of synchronized motion in coupled oscillator systems . Prog. Theor. Phys. , 69 : 32 – 46 .
  • Afraimovich , V.S. , Chow , S.N. and Hale , J.K. 1997 . Synchronization in lattices of coupled oscillators . Physica D , 103 : 445 – 451 .
  • Wu C.-W. 2002 Synchronization in Coupled Chaotic Circuits and Systems 174pp World Sci. Singapore
  • Yanchuk , S. , Maistrenko , Yu. and Mosekilde , E. 2001 . Loss of synchronization of coupled Rössler systems . Physica D , 154 : 26 – 42 .
  • Rodrigues , H.M. 2001 . Uniform invariance principle and synchronization. Robustness with respect to parameter variation . J. Differential Equations , 169 : 228 – 254 .
  • Rodrigues , H.M. 1996 . Abstract methods for synchronization and applications . Appl. Anal. , 62 : 263 – 296 .
  • Chiu , C.-H. , Lin , W.-W. and Peng , C.-C. 2000 . Asymptotic synchronization in lattices of coupled three-dimension nonlinear chaotic equations . J. Math. Anal. Appl. , 250 : 222 – 244 .
  • Huang , Z. and Ruan , J. 1998 . Synchronization of chaotic systems by linear feedback controller . Comm. Nonl. Sci. & Numer. Simul. , 3 : 27 – 30 .
  • Yanchuk , S. 2002 . Preserving of one-sided invariance in Rn with respect to systems of ordinary differential equations . Nonlinear Oscillations , 5 : 278 – 285 .
  • Tian , H. 2002 . The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag . J. Math. Anal. Appl. , 270 : 143 – 149 .
  • Halanay A. 1966 Differential Equations, Stability, Oscillations, Time Lags Academic Press New York
  • Murray J.D. 1989 Mathematical Biology Springer-Verlag Berlin
  • Goodwin , B.C. 1965 . Oscillatory behaviour in enzymatic control processes . Adv. in Enzyme Regulation , 3 : 425 – 438 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.