The asymptotic deterministic randomness

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 368, Issue 1-2, 2007, Pages 38-47

  Wang, Kai ^a   Pei, Wenjiang ^a   Zou, Liuhua ^a   Cheung, Yiu ming ^b   He, Zhenya ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

Chaos; Deterministic randomness; Lissajous map

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS;

ASYMPTOTIC DETERMINISTIC RANDOMNESS; AUTONOMOUS SYSTEMS; BIFURCATION PROCESS; DETERMINISTIC RANDOMNESS; INVERTIBLE NONLINEARITY; LISSAJOUS; LYAPUNOV EXPONENT SPECTRUM; UNDERLYING DYNAMICS;

RANDOM PROCESSES;

EID: 34547414975     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.03.050     Document Type: Article

References (44)

1. Li T.Y., and Yorke J.A. Am. Math. Mon. 82 (1975) 985
2. Devaney R.L. An Introduction to Chaotic Dynamical Systems (1989), Addison-Wesley, Redwood City, CA
3. Banks J. Am. Math. Mon. 99 (1992) 334
4. Vellekoopand M., and Berglund R. Am. Math. Mon. 101 (1994) 353
5. Hao B.L. Starting with Parabolas: An Introduction to Chaotic Dynamics (1993), Scientific and Technological Education Publishing House, Shanghai
6. Hao B.L. Applied Symbolic Dynamics (1993), Scientific and Technological Education Publishing House, Shanghai
7. He D., He C., Jiang L.G., et al. IEEE Trans. Circuits I 48 (2001) 900
8. Wu X.Q., Lu J.H., and Kang L.S. Chaos Solitons Fractals 22 (2004) 311
9. Vinay V., and Henry L. IEEE Trans. Circuits I 49 (2002) 1543
10. Diakonos F.K., and Schmelcher P. Phys. Lett. A 199 (1996) 211
11. Pingel D., Schmelcher P., and Diakonos F.K. Chaos 9 (1999) 357
12. Diakonos F.K., Pingel D., and Schmelcher P. Phys. Lett. A 264 (1999) 162
13. Shinji K. Prog. Theor. Phys. 86 (1991) 991
14. Grosjean G.C. J. Math. Phys. 28 (1987) 1265
15. Csordasandras G., Gyogyi G., Szepfalusy P., and Tamas T. Chaos 3 (1993) 31
16. Huang W.H. Chaos Solitons Fractals 25 (2005) 449
17. Baier G., and Klein M. Phys. Lett. A 151 (1990) 281
18. Dullin H.R., and Meiss J.D. Physica D 143 (2000) 262
19. Richter H. Int. J. Bifur. Chaos 12 (2002) 1371
20. Yang W.M. Spatiotemporal Chaos and Coupled Map Lattice (1994), Scientific and Technological Education Publishing House, Shanghai
21. Stojanovski T., and Kocarev L. IEEE Trans. Circuits I 48 (2001) 281
22. Yalcin M.E., Suykens J.A.K., and Vandewalle J. IEEE Trans. Circuits I 51 (2004) 1395
23. Awfigwer J. Nonlinear Dynam. 35 (2004) 331
24. Urbanowicz K., Kantz H., and Holyst J.A. Physica A 350 (2005) 189
25. Gonzalez J.A., Lindomar B., and Carvalho D. Mod. Phys. Lett. B 11 (1997) 521
26. Gonzalez J.A., Miguel M.L., and Leonardo T. Int. J. Bifur. Chaos 10 (2000) 1867
27. Gonzalez J.A., and Pino R. Comput. Phys. Commun. 120 (1999) 109
28. Gonzalez J.A., and Pino R. Physica A 276 (2000) 425
29. Gonzalez J.A., Reyes L.I., and Guerrero L.E. Chaos 11 (2001) 1
30. Gonzalez J.A., and Reyes L.I. Europhys. Lett. 55 (2001) 610
31. Gonzalez J.A., Reyes L.I., Suarez J.J., et al. Phys. Lett. A 295 (2002) 25
32. Gonzalez J.A., Reyes L.I., and Suarez J.J. Physica A 316 (2002) 259
33. Gonzalez J.A., Reyes L.I., and Suarez J.J. Physica D 178 (2003) 26
34. Gonzalez J.A., and Trujillo L. Physica A 324 (2003) 723
35. Trujillo L., Suarez J.J., and Gonzalez J.A. Europhys. Lett. 66 (2004) 638
36. Suarez J.J., Rondon I., Trujillo L., and Gonzalez J.A. Chaos Solitons Fractals 21 (2004) 603
37. Trujillo L., Suarez J.J., and Gonzalez J.A. Europhys. Lett. 66 (2004) 638
38. Xu Q.Z., Dai S.B., Pei W.J., and He Z.Y. Neur. Inf. Proc. Lett. Rev. 3 (2004) 21
39. Shamir A., and Tsaban B. Inform. Comput. 171 (2001) 350
40. Makila P.M. Physica D 198 3-4 (2004) 309
41. James F. Chaos 13 (2003) 123
42. Kocarev L., and Jakimoski G. IEEE Trans. Circuits I 50 (2003) 123
43. Ulam S.M., and Neumann J.V. Bull. Am. Math. Soc. 53 (1947) 1120
44. Ulam S.M. A Collection of Mathematical Problems (1960), Interscience Publishers, New York