zbMATH — the first resource for mathematics

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.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
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)
Communication with spatial periodic chaos synchronization. (English) Zbl 1123.94372
Summary: Based on the spatial periodic chaos synchronization in coupled ring and linear arrays, we proposed a random high-dimensional chaotic encryption scheme. The transmitter can choose hyperchaotic signals randomly from the ring at any different time and simultaneously transmit the information of chaotic oscillators in the ring to receiver through public channel, so that the message can be masked by different hyperchaotic signals in different time intervals during communication, and the receiver can decode the message based on chaos synchronization but the attacker does not know the random hyperchaotic dynamics and cannot decode the message. Furthermore, the high sensitivity to the symmetry of the coupling structure makes the attacker very difficult to obtain any useful message from the channel.

37D45Strange attractors, chaotic dynamics
37N40Dynamical systems in optimization and economics
Full Text: DOI
[1] Cuomo, K. M.; Oppenheim, A. V.: Phys. rev. Lett.. 71, 65 (1993)
[2] Wu, C. W.; Chua, O. L.: Int. J. Bifur. chaos appl. Sci. eng.. 3, 1619 (1993)
[3] Kocarev, L.; Parlitz, U.: Phys. rev. Lett.. 74, 5028 (1995)
[4] Peng, J. H.; Ding, E. J.; Ding, M.; Yang, W.: Phys. rev. Lett.. 76, 904 (1996)
[5] Murali, K.; Lakshmanan, M.: Phys. lett. A. 241, 303 (1998) · Zbl 0933.94023
[6] Sundar, S.; Minai, A. A.: Phys. rev. Lett.. 18, 5456 (2000)
[7] Kim, C. -M.; Rim, S.; Kye, W. -H.: Phys. rev. Lett.. 88, 014103 (2002)
[8] Carroll, T. L.; Pecora, L. M.: IEEE trans. Circuits systems I. 38, 453 (1991)
[9] Cuomo, K. V.; Oppenheim, A. V.; Strogatz, S. H.: IEEE trans. Circuits systems II. 40, 626 (1993)
[10] Vanwiggeren, G. D.; Roy, R.: Science. 279, 1198 (1998)
[11] García-Ojalvo, J.; Roy, R.: Phys. rev. Lett.. 86, 5204 (2001)
[12] Short, K. M.: Int. J. Bifur. chaos appl. Sci. eng.. 4, 959 (1994)
[13] Short, K. M.: Int. J. Bifur. chaos appl. Sci. eng.. 6, 367 (1996)
[14] Zhou, C. S.; Chen, T. L.: Phys. lett. A. 234, 429 (1997)
[15] Yang, T.; Yang, L. B.; Yang, C. M.: Phys. lett. A. 245, 495 (1998)
[16] Pérez, G.; Cerdeira, A. H.: Phys. rev. Lett.. 74, 1970 (1995)
[17] Deng, X. L.; Huang, H. B.: Phys. rev. E. 65, 055202 (2002)
[18] Matías, A. M.; Pérez-Muñuzuri, V.; Lorenzo, M. N.; Pérez-Villar, V.: Phys. rev. Lett.. 78, 219 (1997)
[19] Mariño, I. P.; Pérez-Muñuzuri, V.; Matías, A. M.: Int. J. Bifur. chaos appl. Sci. eng.. 8, 1733 (1998)
[20] Mariño, I. P.; Pérez-Muñuzuri, V.; Pérez-Villar, V.; Sánchez, E.; Matías, A. M.: Physica D. 128, 224 (1999)