Lyapunov exponents and coalescence of chaotic trajectories

作者: L. Longa , S. P. Dias , E. M. F. Curado

DOI: 10.1103/PHYSREVE.56.259

关键词:

摘要: Identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize. The synchronization process, which is combined effect of the and deterministic part map, could show much more complex behavior than one suggested recent studies. In particular, it demonstrated that when couples states an ensemble identical change sign largest Lyapunov exponent not necessarily connected with synchronization.

参考文章(12)
Louis M. Pecora, Thomas L. Carroll, Synchronization in chaotic systems Physical Review Letters. ,vol. 64, pp. 821- 824 ,(1990) , 10.1103/PHYSREVLETT.64.821
Arkady S. Pikovsky, Statistics of trajectory separation in noisy dynamical systems Physics Letters A. ,vol. 165, pp. 33- 36 ,(1992) , 10.1016/0375-9601(92)91049-W
Amos Maritan, Jayanth R. Banavar, Chaos, noise, and synchronization Physical Review Letters. ,vol. 72, pp. 1451- 1454 ,(1994) , 10.1103/PHYSREVLETT.72.1451
Arkady S. Pikovsky, Comment on "Chaos, Noise, and Synchronization" Physical Review Letters. ,vol. 73, pp. 2931- 2931 ,(1994) , 10.1103/PHYSREVLETT.73.2931
B. Kaulakys, G. Vektaris, Transition to nonchaotic behavior in a Brownian-type motion. Physical Review E. ,vol. 52, pp. 2091- 2094 ,(1995) , 10.1103/PHYSREVE.52.2091
Lech Longa, Evaldo M. F. Curado, Fernando A. Oliveira, Roundoff-induced coalescence of chaotic trajectories. Physical Review E. ,vol. 54, ,(1996) , 10.1103/PHYSREVE.54.R2201
Giovanni Paladin, Maurizio Serva, Angelo Vulpiani, Complexity in dynamical systems with noise. Physical Review Letters. ,vol. 74, pp. 66- 69 ,(1995) , 10.1103/PHYSREVLETT.74.66
S. Micciancio, F. Rondelez, Evidence for shear-induced biaxiality in Lα lecithins close to solid surfaces Journal De Physique Lettres. ,vol. 39, pp. 5- 9 ,(1978) , 10.1051/JPHYSLET:019780039010500
Robert M. May, Simple mathematical models with very complicated dynamics Nature. ,vol. 261, pp. 459- 467 ,(1976) , 10.1038/261459A0
C. Tsallis, A.M.C. de Souza, E.M.F. Curado, Stock exchange: A statistical model Chaos Solitons & Fractals. ,vol. 6, pp. 561- 567 ,(1995) , 10.1016/0960-0779(95)80063-M