Synchronization of spatiotemporal chaos with positive conditional Lyapunov exponents

作者: J. W. Shuai , K. W. Wong , L. M. Cheng

DOI: 10.1103/PHYSREVE.56.2272

关键词:

摘要: Computer simulations show that, following the scalar driving approach, synchronization of spatiotemporal chaos can also be achieved in driven subsystem with positive conditional Lyapunov exponents. This is a result so-called extreme trap. In neighborhood maximum value, higher-order term difference causes first-order dissipative effect, which not reflected by Hence actual average divergence rate smaller than number and thus system to synchronize even when exponents are positive.

参考文章(22)
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
Louis M. Pecora, Thomas L. Carroll, Driving systems with chaotic signals Physical Review A. ,vol. 44, pp. 2374- 2383 ,(1991) , 10.1103/PHYSREVA.44.2374
Lj. KOCAREV, K. S. HALLE, K. ECKERT, L. O. CHUA, U. PARLITZ, EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION International Journal of Bifurcation and Chaos. ,vol. 02, pp. 709- 713 ,(1992) , 10.1142/S0218127492000823
Kevin M. Cuomo, Alan V. Oppenheim, Circuit implementation of synchronized chaos with applications to communications. Physical Review Letters. ,vol. 71, pp. 65- 68 ,(1993) , 10.1103/PHYSREVLETT.71.65
RENÉ LOZI, LEON O. CHUA, Secure Communications via Chaotic Synchronization II: Noise Reduction by Cascading Two Identical Receivers International Journal of Bifurcation and Chaos. ,vol. 03, pp. 1319- 1325 ,(1993) , 10.1142/S0218127493001070
CHAI WAH WU, LEON O. CHUA, A SIMPLE WAY TO SYNCHRONIZE CHAOTIC SYSTEMS WITH APPLICATIONS TO SECURE COMMUNICATION SYSTEMS International Journal of Bifurcation and Chaos. ,vol. 03, pp. 1619- 1627 ,(1993) , 10.1142/S0218127493001288
L. Kocarev, U. Parlitz, General approach for chaotic synchronization with applications to communication. Physical Review Letters. ,vol. 74, pp. 5028- 5031 ,(1995) , 10.1103/PHYSREVLETT.74.5028
J. H. Xiao, G. Hu, Zhilin Qu, SYNCHRONIZATION OF SPATIOTEMPORAL CHAOS AND ITS APPLICATION TO MULTICHANNEL SPREAD-SPECTRUM COMMUNICATION Physical Review Letters. ,vol. 77, pp. 4162- 4165 ,(1996) , 10.1103/PHYSREVLETT.77.4162
Ying-Cheng Lai, Celso Grebogi, Synchronization of spatiotemporal chaotic systems by feedback control. Physical Review E. ,vol. 50, pp. 1894- 1899 ,(1994) , 10.1103/PHYSREVE.50.1894