zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Adaptive projective synchronization in complex networks with time-varying coupling delay. (English) Zbl 1228.05267
Summary: Adaptive projective synchronization (PS) between two complex networks with time-varying coupling delay is investigated by the adaptive control method, and this method has been applied to identify the exact topology of a weighted general complex network. To validate the proposed method, the Lü and Qi systems as the nodes of the networks are detailed analysis, and some numerical results show the effectiveness of the present method.
MSC:
05C82Small world graphs, complex networks (graph theory)
34B45Boundary value problems for ODE on graphs and networks
34D06Synchronization
93C40Adaptive control systems
References:
[1]Wang, X.; Chen, G.: Int. J. Bifur. chaos, Int. J. Bifur. chaos 12, 187 (2002)
[2]Wang, X.; Chen, G.: IEEE trans. Circuits syst.-I, IEEE trans. Circuits syst.-I 49, 54 (2002)
[3]Li, X.; Chen, G.: IEEE trans. Circuits syst.-I, IEEE trans. Circuits syst.-I 50, 1381 (2003)
[4]Amritkar, R. E.; Hu, C. -K.: Chaos, Chaos 16, 015117 (2006)
[5]Li, Y.; Liu, Z.; Zhang, J.: Chin. phys. Lett., Chin. phys. Lett. 25, 874 (2008)
[6]Zhou, J.; Lu, J. A.: Physica A, Physica A 386, 481 (2007)
[7]Zhou, J.; Xiang, L.; Liu, Z.: Physica A, Physica A 385, 729 (2007)
[8]Lu, J.; Cao, J.: Nonlinear anal. Real world appl., Nonlinear anal. Real world appl. 8, 1252 (2007)
[9]He, G.; Yang, J.: Chaos solitons fractals, Chaos solitons fractals 38, 1254 (2008)
[10]Tang, H.; Chen, L.; Lu, J. A.; Tse, C.: Physica A, Physica A 387, 5623 (2008)
[11]Zhou, J.; Lu, J. A.; Lü, J.: Automatica, Automatica 44, 996 (2008)
[12]Li, C.; Sun, W.; Kurths, J.: Phys. rev. E, Phys. rev. E 76, 046204 (2007)
[13]Mainieri, R.; Rehacek, J.: Phys. rev. Lett., Phys. rev. Lett. 82, 3042 (1999)
[14]Jia, Q.: Phys. lett. A, Phys. lett. A 370, 40 (2007)
[15]Guo, L.; Xu, Z.; Hu, M.: Chin. phys. Lett., Chin. phys. Lett. 25, 2816 (2008)
[16]Hu, M.; Yang, Y.; Xu, Z.; Zhang, R.; Guo, L.: Physica A, Physica A 381, 457 (2007)
[17]Sun, M.; Zeng, C.; Tian, L.: Phys. lett. A, Phys. lett. A 372, 6904 (2008)
[18]Hua, C.; Wang, Q.; Guan, X.: Phys. lett. A, Phys. lett. A 368, 281 (2007)
[19]Wu, J.; Jiao, L.: Physica A, Physica A 386, 513 (2007)
[20]Wang, K.; Teng, Z.; Jiang, H.: Physica A, Physica A 387, 631 (2008)
[21]Wu, X.: Physica A, Physica A 387, 997 (2008)
[22]Lu, J. A.; Cao, J.: Physica A, Physica A 382, 672 (2007)
[23]Qi, G.; Chen, G.; Du, S.; Chen, Z.; Yuan, Z.: Physica A, Physica A 352, 295 (2005)
[24]Lü, J.; Chen, G.: Int. J. Bifur. chaos, Int. J. Bifur. chaos 12, 659 (2002)