Li-Yorke chaos in a spatiotemporal chaotic system

Chaos, Solitons and Fractals

Volumn 33, Issue 2, 2007, Pages 335-341

  Li, Ping ^a   Li, Zhong ^a   Halang, Wolfgang A ^a   Chen, Guanrong ^b  

^a UNIVERSITY OF HAGEN   (Germany)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; FRACTALS; SOLITONS;

COUPLED MAP LATTICES; SPATIOTEMPORAL CHAOTIC SYSTEM;

CHAOS THEORY;

EID: 33847227694     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.01.077     Document Type: Article

References (16)

1. In: Kaneko K. (Ed). Theory and application of coupled map lattices (1993), John Wiley and Sons [chapter 1]
2. Lu H.P., Wang S.H., Li X.W., Tang G.N., Kuang J.Y., Ye W.P., et al. A new spatiotemporally chaotic cryptosystem and its security and performance analyses. Chaos 14 3 (2004) 617-629
3. Li P., Li Z., Halang W.A., and Chen G. A multiple pseudorandom-bit generator based on a spatiotemporal chaotic map. Phys Lett A 349 (2006) 467-473
4. Li P, Li Z, Halang WA, Chen G. Analysis of a multiple-output pseudo-random-bit generator based on a spatiotemporal chaotic system. Int J Bifurcat Chaos, in press.
5. Li P, Li Z, Halang WA, Chen G. A stream cipher based on a spatiotemporal chaotic system. Chaos, Solitons & Fractals, in press.
6. Kaneko K. Pattern dynamics in spatiotemporal chaos. Physica D 34 (1989) 1-41
7. Kaneko K. Towards thermodynamics of spatiotemporal chaos. Prog Theor Phys Suppl 99 (1989) 263-287
8. Shibata H. KS entropy and mean Lyapunov exponent for coupled map lattices. Physica A 292 (2001) 182-192
9. Kaneko K. Velocity dependent Lyapunov exponent as a measure of chaos for open flows. Phys Lett A 119 (1987) 397-402
10. Willeboordse F.H., and Kaneko K. Bifurcations and spatial chaos in an open flow model. Phys Rev Lett 73 (1994) 533-536
11. Li T.Y., and Yorke J.A. Period three implies chaos. Amer Math Monthly 82 (1975) 985-992
12. n. J Math Anal Appl 63 (1978) 199-223
13. Shi Y., and Chen G. Discrete chaos in banach spaces. Sci China Ser A: Math 48 (2005) 222-238
14. Luekepohl H. Handbook of matrices (1998), John Wiley and Sons
15. Shi Y, Yu P. On chaos of the logistic maps. Dynam Contin Discrete Impuls Syst Ser B, in press.
16. Li X., and Chen G. Transition from regularity to Li-Yorke chaos in coupled logistic networks. Phys Lett A 338 (2005) 472-478